7233MATLAB下帶有附加參數(shù)的微分方程求解課件

第7章

微分方程問(wèn)題的

計(jì)算機(jī)求解2022/12/291高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解第7章

微分方程問(wèn)題的

計(jì)算機(jī)求解2022/12/261高主要內(nèi)容常系數(shù)線性微分方程的解析解方法微分方程問(wèn)題的數(shù)值解法特殊微分方程的數(shù)值解邊值問(wèn)題的計(jì)算機(jī)求解偏微分方程求解入門微分方程的框圖求解2022/12/292高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解主要內(nèi)容常系數(shù)線性微分方程的解析解方法2022/12/2627.1

常系數(shù)線性微分方程

的解析解方法線性常系數(shù)微分方程解析解的數(shù)學(xué)描述微分方程的解析解方法Laplace變換在線性微分方程求解中的應(yīng)用特殊非線性微分方程的解析解2022/12/293高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解7.1

常系數(shù)線性微分方程

的解析解方法線性常系數(shù)微分方程7.1.1線性常系數(shù)微分方程解析解的數(shù)學(xué)描述2022/12/294高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解7.1.1線性常系數(shù)微分方程解析解的數(shù)學(xué)描述2022/122022/12/295高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/265高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解7.1.2微分方程的解析解方法2022/12/296高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解7.1.2微分方程的解析解方法2022/12/266高等應(yīng)【例7-1】2022/12/297高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解【例7-1】2022/12/267高等應(yīng)用數(shù)學(xué)問(wèn)題的MATL2022/12/298高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/268高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/299高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/269高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2910高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2610高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2911高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2611高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解【例7-2】2022/12/2912高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解【例7-2】2022/12/2612高等應(yīng)用數(shù)學(xué)問(wèn)題的MAT2022/12/2913高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2613高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解【例7-3】2022/12/2914高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解【例7-3】2022/12/2614高等應(yīng)用數(shù)學(xué)問(wèn)題的MAT7.1.3Laplace變換在線性微分方程

求解中的應(yīng)用2022/12/2915高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解7.1.3Laplace變換在線性微分方程

求【例7-4】2022/12/2916高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解【例7-4】2022/12/2616高等應(yīng)用數(shù)學(xué)問(wèn)題的MAT2022/12/2917高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2617高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2918高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2618高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解7.1.4特殊非線性微分方程的解析解【例7-5】2022/12/2919高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解7.1.4特殊非線性微分方程的解析解【例7-5】2022/【例7-6】2022/12/2920高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解【例7-6】2022/12/2620高等應(yīng)用數(shù)學(xué)問(wèn)題的MAT7.2

微分方程問(wèn)題的

數(shù)值解法微分方程問(wèn)題算法概述四階定步長(zhǎng)Runge-Kutta算法及MATLAB實(shí)現(xiàn)一階微分方程組的數(shù)值解微分方程轉(zhuǎn)換2022/12/2921高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解7.2

微分方程問(wèn)題的

數(shù)值解法微分方程問(wèn)題算法概述2027.2.1微分方程問(wèn)題算法概述2022/12/2922高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解7.2.1微分方程問(wèn)題算法概述2022/12/2622高等7.2.1.1微分方程求解的誤差

與步長(zhǎng)問(wèn)題2022/12/2923高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解7.2.1.1微分方程求解的誤差

與步長(zhǎng)問(wèn)題2022/122022/12/2924高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2624高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2925高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2625高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解7.2.2四階定步長(zhǎng)Runge-Kutta算法

及MATLAB實(shí)現(xiàn)2022/12/2926高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解7.2.2四階定步長(zhǎng)Runge-Kutta算法

2022/12/2927高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2627高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解7.2.3一階微分方程組的數(shù)值解

7.2.3.1四階五級(jí)Runge-Kutta-Felhberg算法2022/12/2928高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解7.2.3一階微分方程組的數(shù)值解

7.2.3.1四階五級(jí)7.2.3.2

基于MATLAB的微分方程求解函數(shù)2022/12/2929高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解7.2.3.2基于MATLAB的微分方程求解函數(shù)2022022/12/2930高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2630高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2931高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2631高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解【例7-7】2022/12/2932高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解【例7-7】2022/12/2632高等應(yīng)用數(shù)學(xué)問(wèn)題的MAT2022/12/2933高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2633高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解【例7-8】2022/12/2934高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解【例7-8】2022/12/2634高等應(yīng)用數(shù)學(xué)問(wèn)題的MAT2022/12/2935高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2635高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解7.2.3.3MATLAB下帶有附加參數(shù)的微分方程求解【例7-9】2022/12/2936高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解7.2.3.3MATLAB下帶有附加參數(shù)的微分方程求解【2022/12/2937高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2637高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2938高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2638高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2939高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2639高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解7.2.4微分方程轉(zhuǎn)換

7.2.4.1單個(gè)高階常微分方程處理方法2022/12/2940高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解7.2.4微分方程轉(zhuǎn)換

7.2.4.1單個(gè)高階常微分方程2022/12/2941高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2641高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解【例7-10】2022/12/2942高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解【例7-10】2022/12/2642高等應(yīng)用數(shù)學(xué)問(wèn)題的MA2022/12/2943高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2643高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解7.2.4.2高階常微分方程組的變換方法2022/12/2944高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解7.2.4.2高階常微分方程組的變換方法2022/12/2【例7-11】2022/12/2945高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解【例7-11】2022/12/2645高等應(yīng)用數(shù)學(xué)問(wèn)題的MA2022/12/2946高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2646高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2947高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2647高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2948高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2648高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2949高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2649高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解【例7-12】2022/12/2950高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解【例7-12】2022/12/2650高等應(yīng)用數(shù)學(xué)問(wèn)題的MA2022/12/2951高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2651高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解【例7-13】2022/12/2952高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解【例7-13】2022/12/2652高等應(yīng)用數(shù)學(xué)問(wèn)題的MA2022/12/2953高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2653高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解7.3

特殊微分方程的數(shù)值解剛性微分方程的求解隱式微分方程求解微分代數(shù)方程的求解延遲微分方程求解2022/12/2954高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解7.3

特殊微分方程的數(shù)值解剛性微分方程的求解2022/17.3.1剛性微分方程的求解【例7-14】2022/12/2955高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解7.3.1剛性微分方程的求解【例7-14】2022/12/【例7-14】2022/12/2956高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解【例7-14】2022/12/2656高等應(yīng)用數(shù)學(xué)問(wèn)題的MA2022/12/2957高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2657高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2958高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2658高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解【例7-16】2022/12/2959高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解【例7-16】2022/12/2659高等應(yīng)用數(shù)學(xué)問(wèn)題的MA2022/12/2960高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2660高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2961高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2661高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解7.3.2隱式微分方程求解【例7-17】2022/12/2962高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解7.3.2隱式微分方程求解【例7-17】2022/12/22022/12/2963高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2663高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解【例7-18】2022/12/2964高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解【例7-18】2022/12/2664高等應(yīng)用數(shù)學(xué)問(wèn)題的MA2022/12/2965高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2665高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2966高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2666高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解【例7-19】2022/12/2967高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解【例7-19】2022/12/2667高等應(yīng)用數(shù)學(xué)問(wèn)題的MA2022/12/2968高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2668高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解7.3.3微分代數(shù)方程的求解2022/12/2969高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解7.3.3微分代數(shù)方程的求解2022/12/2669高等應(yīng)【例7-20】2022/12/2970高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解【例7-20】2022/12/2670高等應(yīng)用數(shù)學(xué)問(wèn)題的MA2022/12/2971高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2671高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2972高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2672高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2973高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2673高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2974高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2674高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2975高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2675高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解【例7-21】2022/12/2976高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解【例7-21】2022/12/2676高等應(yīng)用數(shù)學(xué)問(wèn)題的MA2022/12/2977高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2677高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解7.3.4延遲微分方程求解2022/12/2978高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解7.3.4延遲微分方程求解2022/12/2678高等應(yīng)用【例7-22】2022/12/2979高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解【例7-22】2022/12/2679高等應(yīng)用數(shù)學(xué)問(wèn)題的MA2022/12/2980高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2680高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解【例7-23】中性延遲微分方程2022/12/2981高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解【例7-23】中性延遲微分方程2022/12/2681高等應(yīng)7.4

邊值問(wèn)題的計(jì)算機(jī)求解線性方程邊值問(wèn)題的打靶算法非線性方程邊值問(wèn)題的打靶算法線性微分方程的有限差分算法2022/12/2982高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解7.4

邊值問(wèn)題的計(jì)算機(jī)求解線性方程邊值問(wèn)題的打靶算法202022/12/2983高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2683高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解7.4.1線性方程邊值問(wèn)題的打靶算法2022/12/2984高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解7.4.1線性方程邊值問(wèn)題的打靶算法2022/12/2682022/12/2985高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2685高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2986高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2686高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2987高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2687高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2988高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2688高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2989高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2689高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解【例7-24】2022/12/2990高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解【例7-24】2022/12/2690高等應(yīng)用數(shù)學(xué)問(wèn)題的MA2022/12/2991高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2691高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解7.4.2非線性方程邊值問(wèn)題的打靶算法2022/12/2992高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解7.4.2非線性方程邊值問(wèn)題的打靶算法2022/12/262022/12/2993高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2693高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2994高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2694高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解【例7-25】2022/12/2995高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解【例7-25】2022/12/2695高等應(yīng)用數(shù)學(xué)問(wèn)題的MA2022/12/2996高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2696高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解7.4.3線性微分方程的有限差分算法2022/12/2997高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解7.4.3線性微分方程的有限差分算法2022/12/2692022/12/2998高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2698高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2999高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2699高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解【例7-26】2022/12/29100高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解【例7-26】2022/12/26100高等應(yīng)用數(shù)學(xué)問(wèn)題的M7.5

偏微分方程求解入門偏微分方程組求解二階偏微分方程的數(shù)學(xué)描述偏微分方程的求解界面應(yīng)用舉例2022/12/29101高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解7.5

偏微分方程求解入門偏微分方程組求解2022/12/7.5.1偏微分方程組求解2022/12/29102高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解7.5.1偏微分方程組求解2022/12/26102高等應(yīng)邊界條件的函數(shù)描述：2022/12/29103高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解邊界條件的函數(shù)描述：2022/12/26103高等應(yīng)用數(shù)學(xué)問(wèn)【例7-27】2022/12/29104高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解【例7-27】2022/12/26104高等應(yīng)用數(shù)學(xué)問(wèn)題的M2022/12/29105高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/26105高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/29106高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/26106高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/29107高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/26107高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解7.5.2二階偏微分方程的數(shù)學(xué)描述

7.5.2.1橢圓型偏微分方程2022/12/29108高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解7.5.2二階偏微分方程的數(shù)學(xué)描述

7.5.2.1橢圓型2022/12/29109高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/26109高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解7.5.2.2拋物線型偏微分方程2022/12/29110高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解7.5.2.2拋物線型偏微分方程2022/12/261107.5.2.3雙曲型偏微分方程2022/12/29111高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解7.5.2.3雙曲型偏微分方程2022/12/26111高7.5.2.4特征值型偏微分方程2022/12/29112高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解7.5.2.4特征值型偏微分方程2022/12/261127.5.3偏微分方程的求解界面應(yīng)用舉例

7.5.3.1偏微分方程求解程序概述啟動(dòng)偏微分方程求解界面在MATLAB下鍵入pdetool該界面分為四個(gè)部分菜單系統(tǒng)工具欄集合編輯求解區(qū)域2022/12/29113高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解7.5.3偏微分方程的求解界面應(yīng)用舉例

7.5.3.1偏7.5.3.2偏微分方程求解區(qū)域繪制

7.5.3.3偏微分方程邊界條件描述2022/12/29114高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解7.5.3.2偏微分方程求解區(qū)域繪制

7.5.3.3偏微7.5.3.4偏微分方程求解舉例【例7-28】7.5.3.5時(shí)變解的動(dòng)畫顯示2022/12/29115高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解7.5.3.4偏微分方程求解舉例【例7-28】7.5.3.7.5.3.6函數(shù)參數(shù)的偏微分方程求解【例7-29】2022/12/29116高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解7.5.3.6函數(shù)參數(shù)的偏微分方程求解【例7-29】2027.6

微分方程的框圖求解Simulink簡(jiǎn)介Simulink相關(guān)模塊微分方程的Simulink建模與求解2022/12/29117高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解7.6

微分方程的框圖求解Simulink簡(jiǎn)介2022/17.6.1

Simulink

簡(jiǎn)介1990年前后出現(xiàn)最早的Simulink，當(dāng)時(shí)名為SimuLAB，1992年改為SimulinkSimulink的名字有兩重含義仿真(simu)與模型連接(link)odegroup命令可以打開自定義模塊集7.6.2Simulink

相關(guān)模塊2022/12/29118高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解7.6.1Simulink簡(jiǎn)介1990年前后出現(xiàn)最早的常用的模塊：2022/12/29119高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解常用的模塊：2022/12/26119高等應(yīng)用數(shù)學(xué)問(wèn)題的MA2022/12/29120高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/26120高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解7.6.3微分方程的Simulink建模與求解建立起微分方程的Simulink模型可以用sim()函數(shù)對(duì)其模型直接求解得出微分方程的數(shù)值解2022/12/29121高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解7.6.3微分方程的Simulink建模與求解建立起微分方【例7-30】2022/12/29122高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解【例7-30】2022/12/26122高等應(yīng)用數(shù)學(xué)問(wèn)題的M【例7-31】2022/12/29123高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解【例7-31】2022/12/26123高等應(yīng)用數(shù)學(xué)問(wèn)題的M2022/12/29124高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/26124高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解【例7-32】2022/12/29125高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解【例7-32】2022/12/26125高等應(yīng)用數(shù)學(xué)問(wèn)題的M本章內(nèi)容簡(jiǎn)介2022/12/29126高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解本章內(nèi)容簡(jiǎn)介2022/12/26126高等應(yīng)用數(shù)學(xué)問(wèn)題的MA本章介紹了基于MATLAB符號(hào)運(yùn)算工具箱dsolve()函數(shù)的線性微分方程的解析解方法，并介紹基于該函數(shù)的特殊非線性微分方程的解析解。2022/12/29127高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解本章介紹了基于MATLAB符號(hào)運(yùn)算工具箱dsolve(對(duì)一般非線性微分方程來(lái)說(shuō)，解析解是不存在的，只能依賴數(shù)值解的方法對(duì)其進(jìn)行研究。引入了數(shù)值解的概念，并以最簡(jiǎn)單的一階微分方程的Euler算法為例，介紹了一般數(shù)值解法的思路并介紹了變步長(zhǎng)求解的概念，還介紹了MATLAB下的微分方程數(shù)值求解函數(shù)ode45()，通過(guò)例子演示了該函數(shù)的使用方法。2022/12/29128高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解對(duì)一般非線性微分方程來(lái)說(shuō)，解析解是不存在的，只能依賴數(shù)值解的微分方程初值函數(shù)能直接求解的方程是一階顯式微分方程組，若給出的方程不是這類函數(shù)，則需要通過(guò)本書介紹的方法選擇一組狀態(tài)變量，將原方程變換成一階顯式微分方程組，以便用給定的求解函數(shù)直接求解。若某微分方程模型求解速度極慢，則有可能為剛性方程，需要調(diào)用ode15s()等函數(shù)來(lái)求解，此外，其他類型的微分方程，如微分代數(shù)方程、隱式微分方程與延遲微分方程等，也可以由MATLAB語(yǔ)言提供的現(xiàn)成函數(shù)直接求解。二階微分方程的邊值問(wèn)題可以由本書提供的三種算法求解。2022/12/29129高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解微分方程初值函數(shù)能直接求解的方程是一階顯式微分方程組，若給出偏微分方程可以由MATLAB提供的現(xiàn)成函數(shù)直接求解，而x-y平面的偏微分方程可以由MATLAB語(yǔ)言的偏微分方程工具箱提供的界面直接求解，而高維偏微分方程可以由該工具箱提供的現(xiàn)成函數(shù)直接求解。Simulink是MATLAB中的一個(gè)很重要的系統(tǒng)仿真平臺(tái)，可以用該高階以框圖的形式建立起系統(tǒng)的模型，本書介紹其入門知識(shí)，然后側(cè)重于微分方程求解，介紹了Simulink如何搭建微分方程框圖，其中一個(gè)重要的方法就是用積分器來(lái)定義狀態(tài)變量和其導(dǎo)數(shù)，則可以用已知信號(hào)搭建起這樣的微分方程，然后用該工具提供的求解按鈕直接求解。2022/12/29130高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解偏微分方程可以由MATLAB提供的現(xiàn)成函數(shù)直接求解，而第7章

微分方程問(wèn)題的

計(jì)算機(jī)求解2022/12/29131高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解第7章

微分方程問(wèn)題的

計(jì)算機(jī)求解2022/12/261高主要內(nèi)容常系數(shù)線性微分方程的解析解方法微分方程問(wèn)題的數(shù)值解法特殊微分方程的數(shù)值解邊值問(wèn)題的計(jì)算機(jī)求解偏微分方程求解入門微分方程的框圖求解2022/12/29132高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解主要內(nèi)容常系數(shù)線性微分方程的解析解方法2022/12/2627.1

常系數(shù)線性微分方程

的解析解方法線性常系數(shù)微分方程解析解的數(shù)學(xué)描述微分方程的解析解方法Laplace變換在線性微分方程求解中的應(yīng)用特殊非線性微分方程的解析解2022/12/29133高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解7.1

常系數(shù)線性微分方程

的解析解方法線性常系數(shù)微分方程7.1.1線性常系數(shù)微分方程解析解的數(shù)學(xué)描述2022/12/29134高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解7.1.1線性常系數(shù)微分方程解析解的數(shù)學(xué)描述2022/122022/12/29135高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/265高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解7.1.2微分方程的解析解方法2022/12/29136高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解7.1.2微分方程的解析解方法2022/12/266高等應(yīng)【例7-1】2022/12/29137高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解【例7-1】2022/12/267高等應(yīng)用數(shù)學(xué)問(wèn)題的MATL2022/12/29138高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/268高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/29139高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/269高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/29140高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2610高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/29141高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2611高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解【例7-2】2022/12/29142高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解【例7-2】2022/12/2612高等應(yīng)用數(shù)學(xué)問(wèn)題的MAT2022/12/29143高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2613高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解【例7-3】2022/12/29144高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解【例7-3】2022/12/2614高等應(yīng)用數(shù)學(xué)問(wèn)題的MAT7.1.3Laplace變換在線性微分方程

求解中的應(yīng)用2022/12/29145高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解7.1.3Laplace變換在線性微分方程

求【例7-4】2022/12/29146高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解【例7-4】2022/12/2616高等應(yīng)用數(shù)學(xué)問(wèn)題的MAT2022/12/29147高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2617高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/29148高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2618高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解7.1.4特殊非線性微分方程的解析解【例7-5】2022/12/29149高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解7.1.4特殊非線性微分方程的解析解【例7-5】2022/【例7-6】2022/12/29150高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解【例7-6】2022/12/2620高等應(yīng)用數(shù)學(xué)問(wèn)題的MAT7.2

微分方程問(wèn)題的

數(shù)值解法微分方程問(wèn)題算法概述四階定步長(zhǎng)Runge-Kutta算法及MATLAB實(shí)現(xiàn)一階微分方程組的數(shù)值解微分方程轉(zhuǎn)換2022/12/29151高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解7.2

微分方程問(wèn)題的

數(shù)值解法微分方程問(wèn)題算法概述2027.2.1微分方程問(wèn)題算法概述2022/12/29152高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解7.2.1微分方程問(wèn)題算法概述2022/12/2622高等7.2.1.1微分方程求解的誤差

與步長(zhǎng)問(wèn)題2022/12/29153高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解7.2.1.1微分方程求解的誤差

與步長(zhǎng)問(wèn)題2022/122022/12/29154高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2624高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/29155高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2625高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解7.2.2四階定步長(zhǎng)Runge-Kutta算法

及MATLAB實(shí)現(xiàn)2022/12/29156高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解7.2.2四階定步長(zhǎng)Runge-Kutta算法

2022/12/29157高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2627高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解7.2.3一階微分方程組的數(shù)值解

7.2.3.1四階五級(jí)Runge-Kutta-Felhberg算法2022/12/29158高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解7.2.3一階微分方程組的數(shù)值解

7.2.3.1四階五級(jí)7.2.3.2

基于MATLAB的微分方程求解函數(shù)2022/12/29159高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解7.2.3.2基于MATLAB的微分方程求解函數(shù)2022022/12/29160高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2630高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/29161高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2631高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解【例7-7】2022/12/29162高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解【例7-7】2022/12/2632高等應(yīng)用數(shù)學(xué)問(wèn)題的MAT2022/12/29163高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2633高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解【例7-8】2022/12/29164高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解【例7-8】2022/12/2634高等應(yīng)用數(shù)學(xué)問(wèn)題的MAT2022/12/29165高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2635高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解7.2.3.3MATLAB下帶有附加參數(shù)的微分方程求解【例7-9】2022/12/29166高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解7.2.3.3MATLAB下帶有附加參數(shù)的微分方程求解【2022/12/29167高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2637高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/29168高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2638高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/29169高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2639高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解7.2.4微分方程轉(zhuǎn)換

7.2.4.1單個(gè)高階常微分方程處理方法2022/12/29170高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解7.2.4微分方程轉(zhuǎn)換

7.2.4.1單個(gè)高階常微分方程2022/12/29171高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2641高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解【例7-10】2022/12/29172高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解【例7-10】2022/12/2642高等應(yīng)用數(shù)學(xué)問(wèn)題的MA2022/12/29173高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2643高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解7.2.4.2高階常微分方程組的變換方法2022/12/29174高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解7.2.4.2高階常微分方程組的變換方法2022/12/2【例7-11】2022/12/29175高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解【例7-11】2022/12/2645高等應(yīng)用數(shù)學(xué)問(wèn)題的MA2022/12/29176高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2646高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/29177高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2647高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/29178高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2648高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/29179高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2649高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解【例7-12】2022/12/29180高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解【例7-12】2022/12/2650高等應(yīng)用數(shù)學(xué)問(wèn)題的MA2022/12/29181高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2651高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解【例7-13】2022/12/29182高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解【例7-13】2022/12/2652高等應(yīng)用數(shù)學(xué)問(wèn)題的MA2022/12/29183高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2653高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解7.3

特殊微分方程的數(shù)值解剛性微分方程的求解隱式微分方程求解微分代數(shù)方程的求解延遲微分方程求解2022/12/29184高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解7.3

特殊微分方程的數(shù)值解剛性微分方程的求解2022/17.3.1剛性微分方程的求解【例7-14】2022/12/29185高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解7.3.1剛性微分方程的求解【例7-14】2022/12/【例7-14】2022/12/29186高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解【例7-14】2022/12/2656高等應(yīng)用數(shù)學(xué)問(wèn)題的MA2022/12/29187高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2657高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/29188高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2658高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解【例7-16】2022/12/29189高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解【例7-16】2022/12/2659高等應(yīng)用數(shù)學(xué)問(wèn)題的MA2022/12/29190高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2660高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/29191高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2661高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解7.3.2隱式微分方程求解【例7-17】2022/12/29192高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解7.3.2隱式微分方程求解【例7-17】2022/12/22022/12/29193高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2663高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解【例7-18】2022/12/29194高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解【例7-18】2022/12/2664高等應(yīng)用數(shù)學(xué)問(wèn)題的MA2022/12/29195高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2665高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/29196高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2666高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解【例7-19】2022/12/29197高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解【例7-19】2022/12/2667高等應(yīng)用數(shù)學(xué)問(wèn)題的MA2022/12/29198高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2668高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解7.3.3微分代數(shù)方程的求解2022/12/29199高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解7.3.3微分代數(shù)方程的求解2022/12/2669高等應(yīng)【例7-20】2022/12/29200高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解【例7-20】2022/12/2670高等應(yīng)用數(shù)學(xué)問(wèn)題的MA2022/12/29201高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2671高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/29202高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2672高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/29203高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2673高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/29204高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2674高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/29205高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2675高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解【例7-21】2022/12/29206高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解【例7-21】2022/12/2676高等應(yīng)用數(shù)學(xué)問(wèn)題的MA2022/12/29207高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2677高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解7.3.4延遲微分方程求解2022/12/29208高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解7.3.4延遲微分方程求解2022/12/2678高等應(yīng)用【例7-22】2022/12/29209高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解【例7-22】2022/12/2679高等應(yīng)用數(shù)學(xué)問(wèn)題的MA2022/12/29210高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2680高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解【例7-23】中性延遲微分方程2022/12/29211高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解【例7-23】中性延遲微分方程2022/12/2681高等應(yīng)7.4

邊值問(wèn)題的計(jì)算機(jī)求解線性方程邊值問(wèn)題的打靶算法非線性方程邊值問(wèn)題的打靶算法線性微分方程的有限差分算法2022/12/29212高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解7.4

邊值問(wèn)題的計(jì)算機(jī)求解線性方程邊值問(wèn)題的打靶算法202022/12/29213高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2683高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解7.4.1線性方程邊值問(wèn)題的打靶算法2022/12/29214高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解7.4.1線性方程邊值問(wèn)題的打靶算法2022/12/2682022/12/29215高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2685高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/29216高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2686高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/29217高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2687高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/29218高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2688高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/29219高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2689高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解【例7-24】2022/12/29220高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解【例7-24】2022/12/2690高等應(yīng)用數(shù)學(xué)問(wèn)題的MA2022/12/29221高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2691高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解7.4.2非線性方程邊值問(wèn)題的打靶算法2022/12/29222高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解7.4.2非線性方程邊值問(wèn)題的打靶算法2022/12/262022/12/29223高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2693高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/29224高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2694高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解【例7-25】2022/12/29225高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解【例7-25】2022/12/2695高等應(yīng)用數(shù)學(xué)問(wèn)題的MA2022/12/29226高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2696高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解7.4.3線性微分方程的有限差分算法2022/12/29227高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解7.4.3線性微分方程的有限差分算法2022/12/2692022/12/29228高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2698高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/29229高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/2699高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解【例7-26】2022/12/29230高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解【例7-26】2022/12/26100高等應(yīng)用數(shù)學(xué)問(wèn)題的M7.5

偏微分方程求解入門偏微分方程組求解二階偏微分方程的數(shù)學(xué)描述偏微分方程的求解界面應(yīng)用舉例2022/12/29231高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解7.5

偏微分方程求解入門偏微分方程組求解2022/12/7.5.1偏微分方程組求解2022/12/29232高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解7.5.1偏微分方程組求解2022/12/26102高等應(yīng)邊界條件的函數(shù)描述：2022/12/29233高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解邊界條件的函數(shù)描述：2022/12/26103高等應(yīng)用數(shù)學(xué)問(wèn)【例7-27】2022/12/29234高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解【例7-27】2022/12/26104高等應(yīng)用數(shù)學(xué)問(wèn)題的M2022/12/29235高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/26105高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/29236高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/26106高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/29237高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/26107高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解7.5.2二階偏微分方程的數(shù)學(xué)描述

7.5.2.1橢圓型偏微分方程2022/12/29238高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解7.5.2二階偏微分方程的數(shù)學(xué)描述

7.5.2.1橢圓型2022/12/29239高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解2022/12/26109高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解7.5.2.2拋物線型偏微分方程2022/12/29240高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解7.5.2.2拋物線型偏微分方程2022/12/261107.5.2.3雙曲型偏微分方程2022/12/29241高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解7.5.2.3雙曲型偏微分方程2022/12/26111高7.5.2.4特征值型偏微分方程2022/12/29242高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解7.5.2.4特征值型偏微分方程2022/12/261127.5.3偏微分方程的求解界面應(yīng)用舉例

7.5.3.1偏微分方程求解程序概述啟動(dòng)偏微分方程求解界面在MATLAB下鍵入pdetool該界面分為四個(gè)部分菜單系統(tǒng)工具欄集合編輯求解區(qū)域2022/12/29243高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解7.5.3偏微分方程的求解界面應(yīng)用舉例

7.5.3.1偏7.5.3.2偏微分方程求解區(qū)域繪制

7.5.3.3偏微分方程邊界條件描述2022/12/29244高等應(yīng)用數(shù)學(xué)問(wèn)題的MATLAB求解7.5.3.2偏微分方程求解區(qū)域繪制

7.5.3.3偏微7.5.3.4偏微分方程求解舉例【例7-2