78 citations · 142 across the 12 of their papers we have counts for
12 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…
A general correction for numerical integration rules over piece-wise continuous functions
Shipra Mahata, Samala Rathan, Juan Ruiz-Álvarez +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…
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.…
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 novel central compact finite-difference scheme for third derivatives with high spectral resolution
Lavanya V Salian, Samala Rathan, Debojyoti Ghosh
In this paper, we introduce a novel category of central compact schemes inspired by existing cell-node and cell-centered compact finite difference schemes, that offer a superior sp…
Numerical schemes for a class of nonlocal conservation laws: a general approach
Jan Friedrich, Sanjibanee Sudha, Samala Rathan
In this work we present a rather general approach to approximate the solutions of nonlocal conservation laws. In a first step, we approximate the nonlocal term with an appropriate…
Adaptive IQ and IMQ-RBFs for solving Initial Value Problems: Adam-Bashforth and Adam-Moulton methods
Samala Rathan, Deepit Shah, T. Hemanth Kumar +1
In this paper, our objective is primarily to use adaptive inverse-quadratic (IQ) and inverse-multi-quadratic (IMQ) radial basis function (RBF) interpolation techniques to develop a…
A sixth-order central WENO scheme for nonlinear degenerate parabolic equations
Samala Rathan, Jiaxi Gu
In this paper we develop a new sixth-order finite difference central weighted essentially non-oscillatory (WENO) scheme with Z-type nonlinear weights for nonlinear degenerate parab…
Construction and comparative study of Euler method with adaptive IQ and IMQ-RBFs
Samala Rathan, Deepit Shah
The fundamental purpose of the present work is to constitute an enhanced Euler method with adaptive inverse-quadratic and inverse-multi-quadratic radial basis function (RBF) interp…
Simple smoothness indicator WENO-Z scheme for hyperbolic conservation laws
Samala Rathan, G. Naga Raju, Ashlesha A. Bhise
The advantage of WENO-JS5 scheme [ J. Comput. Phys. 1996] over the WENO-LOC scheme [J. Comput. Phys.1994] is that the WENO-LOC nonlinear weights do not achieve the desired order of…
An Improved Non-linear Weights for Seventh-Order WENO Scheme
Samala Rathan, G Naga Raju
In this article, the construction and implementation of a seventh order weighted essentially non-oscillatory scheme is reported for hyperbolic conservation laws. Local smoothness i…
A modified fifth-order WENO scheme for hyperbolic conservation laws
Samala Rathan, G Naga Raju
This paper deals with a new fifth-order weighted essentially non-oscillatory (WENO) scheme improving the WENO-NS and WENO-P methods which are introduced in Ha et al. J. Comput. Phy…