5 papers
An efficient Haar wavelet method for the coupled non-linear transient PDE-ODEs system with discontinuous coefficients
B. V. Rathish Kumar, Meena Pargaei
In this work, the Haar wavelet method for the coupled non-linear transient PDE-ODEs system with the Neumann boundary condition has been proposed. The capability of the method in ha…
Myocardial ischemic effects on cardiac electro-mechanical activity
B. V. Rathish Kumar, Meena Pargaei, Luca F. Pavarino +1
In this work, we investigated the effect of varying strength of Hyperkalemia and Hypoxia, in human cardiac tissue with a local ischemic subregion, on the electrical and mechanical…
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…
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…
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…