5 papers
A note on the central-upwind scheme for nonlocal conservation laws
Jan Friedrich, Samala Rathan, Sanjibanee Sudha
The central-upwind flux is a widely used numerical flux function for local conservation laws. It has been investigated by Kurganov and Polizzi (2009) for a specific nonlocal conser…
Convergence of the non-staggered Nessyahu-Tadmor scheme for coupled systems of one-dimensional nonlocal balance laws
Sanjibanee Sudha, Jan Friedrich, Samala Rathan
We derive a second-order accurate, non-staggered central scheme based on the well-known Nessyahu-Tadmor scheme to approximate solutions of coupled systems of nonlocal balance laws.…
Spectral Analysis of Node- and Cell-Centered Higher-Order Compact Schemes for Fully Discrete One and Two-Dimensional Convection-Dispersion Equation
Lavanya V Salian, Vivek S Yadav, Rathan Samala +1
In this study, we present a comprehensive global spectral analysis of the convection dispersion equation, which is also referred to in specific contexts as the Korteweg de Vries (K…
Compact finite-difference scheme for some Sobolev type equations with Dirichlet boundary conditions
Lavanya V Salian, Samala Rathan, Rakesh Kumar
This study aims to construct a stable, high-order compact finite difference method for solving Sobolev-type equations with Dirichlet boundary conditions in one-space dimension. App…
A general correction for numerical integration rules over piece-wise continuous functions
Shipra Mahata, Samala Rathan, Juan Ruiz-Ãlvarez +1
This article presents a novel approach to enhance the accuracy of classical quadrature rules by incorporating correction terms. The proposed method is particularly effective when t…