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math.NA2019
Haar wavelet method for the coupled degenerate reaction-diffusion PDEs and the ODEs having a non-linear source
Meena Pargaei, B. V. Rathish Kumar
In this work, we propose the Haar wavelet method for the coupled degenerate reaction-diffusion PDEs and the ODEs having non-linear a source with Neumann boundary, applicable in var…
math.AP2019
Finite element apriori error estimate for a class of Cardiac Electric models
Meena Pargaei, B. V. Rathish Kumar
In this study we derive the Finite element apriori error estimate for the monodomain cardiac electric model in conjunction with the generic form for a class of nonlinear ionic mode…
math.AP2019
On the existence-uniqueness and computation of solution of a coupled PDE-ODE system with application to cardiac electric activity
Meena Pargaei, B. V. Rathish Kumar
In this study, we consider a system of degenerate reaction-diffusion equations, which govern the electric activity in the heart with a diffusion term modeling the potential in the…