TA的每日心情 | 开心 2019-11-20 15:05 |
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7 W! d5 W! p. S Z分享常微分数值求解算法,显式4阶龙格-库塔算法。
+ I1 N4 [0 O+ p4 W- LFourth Order Runge-Kutta Method for Ordinary Differential 1 r7 _# Y3 p! o9 L+ a$ D
Equation using Matlab Basic Codes
" D8 W" b1 C, ~! V. c9 e6 a2 `Question: Use Runge-Kutta method for systems to solve the following
8 m# R! F5 a( G$ ?# D; Isystems and draw their state paths in the state space of (x,y):
' G6 q3 Y( b- E' n0 J(a) Solve with x(0)=4 and y(0)=1 over [0,8]
+ L. U/ G1 y) m: `using h=0.1.
+ F0 e' C: k" t1 D; JSolution: Using the following program, we can apply fourth order
& x3 b: D, `6 B0 F7 S4 j! hRunge-Kutta method for this problem.' |- V0 i, U! B6 ?- K
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