3 papers
math.NA2026
Integral Invariants of Vasudeva Murthy's Relaxation Systems: Analysis and Numerical Validation
Sudipta Sahu, Rathan Samala
Vasudeva Murthy's relaxation approach [A.S. Vasudeva Murthy, J. Comput. Appl. Math., 203(2), pp. 437-443, 2007], originally proposed for the Jin-Xin relaxation model, provides an a…
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.NA2025
Explicit Runge-Kutta Methods with Multiquadric and Inverse Multiquadric Radial Basis Functions
Shipra Mahata, Samala Rathan
In this article, a family of two- and three-stage explicit multiquadric (MQ) and inverse multiquadric (IMQ) radial basis functions (RBFs) Runge-Kutta methods are introduced for sol…