How do I solve a coupled system of PDE and ODE?

How do I solve this coupled system of PDE (equation 4) and ODE (equations 1, 2, 5)?

[Rajan Patel]

Hi, Have you solved this? I have same question.

Answer 1

[Prasanna Gude]

The Partial Differential Equation (equation 4) can be solved in MATLAB with the help of “MATLAB PDE Solver”. Refer to this Link to know more about solving Partial Differential Equations in MATLAB.

The Ordinary Differential Equations (equations 1,2 and 5) can be solved analytically using ‘dsolve’ function. To know more about solving different types of Differential Equations, refer to this Link.