Dear Slim

If we want to solve Poisson’s and Current Continuity equations

simultaneously with Dirichlet boundary conditions in MATLAB to determine the potential distributions in any geometrical configuration

Best Regard

Dear Pr. Fadhil,

Please, can you send me the equations the relevant boundary and intial condition. I can solve quickly you equation in 2D for rectangular geometries.

Best regards,

Dear Slim

I send a file in MATLAB ,i hope that is useful

Dear professor Fadhil,

I'm sorry to replay so late. Please send me the equations, the boundary conditions and the initial conditions written in MS Word format.

Best regards,

@Slim Kaddeche, I am doing my research in spectral and pseudospectral methods and I am reviewing a research paper  "Numerical Solution of Heat Equation by Spectral Method" by Narayan Thapa & Michal Gudejko.

I want to regenerate the results for my future studies. I wrote a MATLAB code to do so, but I am unable to generate the results available in your paper (Note: I am using farward Euler Method for time derivative).

you can have look to my problem formulation and MATLAB code from the below mentioned link: 

https://www.mathworks.com/matlabcentral/answers/491849-specrtal-method-for-heat-equation

Thanks

Dear Dr. Muhammad,

I will send you a very simple spectral matlab code to solve the 1D heat equation tomorrow.

Best regards,

Dear Dr. Muhammad,

Please find attached the 1D spectral collocation heat equation code. You can ask me any question about this code.

Best regards.

Dear Dr. Muhammad,

Did you receive my 1D heat equation spectral code. Did it works correctly.

Best regards.