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In this work, we propose the Haar wavelet method for the coupled degeneratereaction-diffusion PDEs and the ODEs having non-linear a source with Neumannboundary, applicable in various fields of the natural sciences, engineering,and economics, for example in gas dynamics, certain biological models, assetspricing in economics, composite media etc. Convergence analysis of the proposednumerical scheme has been carried out. We use the GMRES solver to solve thelinear system of equations. Numerical solutions for the model problems ofmedical significance have been successfully solved.

Haar wavelet method for the coupled degenerate reaction-diffusion PDEs and the ODEs having a non-linear source