Set initial condition to time different to 0

Hello,

I want to solve in matlab an ODE of second order for a problem of thermal diffusion, I need to set my temperrrature as boundary conditions at x=0 and at x=0,5 (or T'=0 at x=0,25).

How can I set my code?

I try to use ode45 but the problem is the initial conditions request are only for x=0.

this is my code

k=20;
Tw=25+273.15;
s=50*10^-2
sigma0=10^5;
b=0.01;
funz=@(x,T) [T(2); -sigma0*(1-b*(T(1)-Tw))/k];
tspan=[0 s];
y0=[Tw ????]
[x1,T1]=ode45(funz,tspan,y0)

Answer 1

[Cris LaPierre]

See this answer: https://www.mathworks.com/matlabcentral/answers/431702-ode45-initial-conditions-are-not-at-the-same-point

Answer 2

[Torsten]

This is a boundary value problem, not an initial value problem.

Thus you should use bvp4c instead of ode45.