How to solve nonlinear partial differential

I want to solve the below non linear partial differential equation kindly help me with it.

Answer 1

[SAI SRUJAN]

Hi Jaikishan Chandarana,

I understand that you are trying to solve a non linear partial differential equation.

Typically, the Partial Differential Equations (PDEs) in MATLAB adhere to the following format:

c(x,t,u,du/dx).du/dt=(x^-m).d/dx[(x^-m)f(x,t,u,du/dx)]+s(x,t,u,du/dx)

Given a PDE, model the partial differential equation to make an analogy to the format specifeid above.To be more specific in resolving the issue, you can use the "pdepe" MATLAB function to further solve the issue by setting initial and boundary conditions.

For a comprehensive understanding of the "pdepe" function in MATLAB, please refer to the provided documentation below.

Solve System of PDEs - MATLAB & Simulink - MathWorks India

Solve 1-D parabolic and elliptic PDEs - MATLAB pdepe - MathWorks India