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20152023
most citedAn efficient high-order Nyström scheme for acoustic scattering by inhomogeneous penetrable media with discontinuous material interface

10 citations · 10 across the 6 of their papers we have counts for

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math.NA2023

Finite element analysis of modified N-S equations coupled with energy transfer for Hybrid Nanofluid flow in complex domains

Sangita Dey, B. V. Rathish Kumar

A theoretical and computational finite element study of modified Navier-Stokes Equations coupled with energy conservation governing the flow and heat transfer in complex domains wi…

math.NA2023

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…

math.NA2022

A Fractional Image Inpainting Model Using a Variant of Mumford-Shah Model

Abdul Halim, Abdur Rohim, B. V. Rathish Kumar +1

In this paper, we propose a fourth order PDE model for image inpainting based on a variant of the famous Mumford-Shah (MS) image segmentation model. Convexity splitting is used to…

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.NA2018

Complete Flux Scheme for Elliptic Singularly Perturbed Differential-Difference Equations

Sunil Kumar, B. V. Rathish Kumar, J. H. M. Ten Thije Boonkkamp

In this study, we propose a new scheme named as complete flux scheme (CFS) based on the finite volume method for solving singularly perturbed differential-difference equations (SPD…

math.NA2015★ 10 cited

An efficient high-order Nyström scheme for acoustic scattering by inhomogeneous penetrable media with discontinuous material interface

Akash Anand, Ambuj Pandey, B. V. Rathish Kumar +1

This text proposes a fast, rapidly convergent Nyström method for the solution of the Lippmann-Schwinger integral equation that mathematically models the scattering of time-harmonic…