2 papers
math.NA2025
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…
math.NA2024
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…