10 citations
4 papers
Exponential approximation space reconstruction WENO scheme for dispersive PDEs
Lavanya V Salian, Samala Rathan
In this work, we construct a fifth-order weighted essentially non-oscillatory (WENO) scheme with exponential approximation space for solving dispersive equations. A conservative th…
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…