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MATLAB differential equation question

MATLAB differential equation question# Computation - 科学计算

b*g2003-07-21 07:07

1 楼

I have an equation:
dz/dt = (1-z)-S(t)z
How to solve it using MATLAB?
Seems pretty easy, but I can't get the correct wave shape. So frastrated.
Anyone can help me. Thank you.

c*e2003-07-21 07:07

2 楼

Depends on the boundary conditions
if z @ t=0 and z' @ t=0 are defined, just go straightforward.
if z @ t=0 and z @ t=T are defined, using shooting method.

【在 b*****g 的大作中提到】

: I have an equation:
: dz/dt = (1-z)-S(t)z
: How to solve it using MATLAB?
: Seems pretty easy, but I can't get the correct wave shape. So frastrated.
: Anyone can help me. Thank you.

P*S2003-07-21 07:07

3 楼

It is first order ODE and only needs one initial condition. For example if you
know z(0), then z'(0)=(1-z(0))-S(0)*z(0).
Matlab has ODE solvers.You can read the Users Guide for details. You can also
develop your own solver.

【在 c*******e 的大作中提到】

: Depends on the boundary conditions
: if z @ t=0 and z' @ t=0 are defined, just go straightforward.
: if z @ t=0 and z @ t=T are defined, using shooting method.