How do i implement integral type boundary conditions in matlab?

Question

nidhi humnekar 2022-2-1

回答： Lokesh 2023-10-6

How do i implement integral type boundary conditions in matlab such as in BVP4C or any other method?

I have: u(-1)=0; u(1)=0 and

.

Answer 1

Lokesh 2023-10-6

Hi Nidhi,

I understand that you want to implement integral type boundary conditions in MATLAB.

To achieve this, define the integral as an additional part of the ODE and add a boundary condition associated with it.

For example, if you want to implement the condition

,then adding an additional equation

to the system of ODE's and an additional boundary condition

would enforce the integral condition.

Please refer to the below mentioned link for further clarification:

I hope you find this helpful.

Best Regards,

Lokesh.