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Spectral Galerkin method for the zero dispersion limit of the fractional Korteweg-de Vries equation
Mukul Dwivedi, Tanmay Sarkar
We present a fully discrete Crank-Nicolson Fourier-spectral-Galerkin (FSG) scheme for approximating solutions of the fractional Korteweg-de Vries (KdV) equation, which involves a f…
Analysis of a local discontinuous Galerkin scheme for fractional Korteweg-de Vries equation
Mukul Dwivedi, Tanmay Sarkar
We propose a local discontinuous Galerkin (LDG) method for the fractional Korteweg-de Vries (KdV) equation, involving the fractional Laplacian with exponent in one and…
Fully discrete finite difference schemes for the Fractional Korteweg-de Vries equation
Mukul Dwivedi, Tanmay Sarkar
In this paper, we present and analyze fully discrete finite difference schemes designed for solving the initial value problem associated with the fractional Korteweg-de Vries (KdV)…
Convergence of a conservative Crank-Nicolson finite difference scheme for the KdV equation with smooth and non-smooth initial data
Mukul Dwivedi, Tanmay Sarkar
In this paper, we study the stability and convergence of a fully discrete finite difference scheme for the initial value problem associated with the Korteweg-De Vries (KdV) equatio…
Stability and Convergence analysis of a Crank-Nicolson Galerkin scheme for the fractional Korteweg-de Vries equation
Mukul Dwivedi, Tanmay Sarkar
In this paper we study the convergence of a fully discrete Crank-Nicolson Galerkin scheme for the initial value problem associated with the fractional Korteweg-de Vries (KdV) equat…