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How can I solve the following PDE?

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Yang He
Yang He 2023-4-10
编辑： Torsten 2023-4-10
$\dotA(t)=rA(t)-\frac{A(t)^2}{4c}+1$
$\dotB(t)=rB(t)-aA(t)$
$A(T)=q,B(T)=0.$
Suppose that r=0.02, a=3, c=1,q=1.5.
How to write a code to solve it.

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回答（2 个）

Alan Stevens
Alan Stevens 2023-4-10
Try setting tau = T - t, so that dA/dt = -dA/dtau etc, and A(T) , B(T) become A(0), B(0). i.e. turn the boundary value problem into an initial value problem.
Torsten
Torsten 2023-4-10
编辑：Torsten 2023-4-10
MATLAB allows you to integrate backwards in time simply by defininig tspan starting with T and ending with 0.
And why do you say it's a PDE ? As far as I can see from your description, it's an ODE.

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