Fully discrete finite difference schemes for the Fractional Korteweg-de Vries equation

M Dwivedi, T Sarkar - Journal of Scientific Computing, 2024 - Springer
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) …

A Local discontinuous Galerkin method for the Benajamin-Ono equation

M Dwivedi, T Sarkar - arXiv preprint arXiv:2405.08360, 2024 - arxiv.org
The main purpose of this paper is to design a local discontinuous Galerkin (LDG) method for
the Benjamin-Ono equation. We analyze the stability and error estimates for the semi …

Numerical method for the zero dispersion limit of the fractional Korteweg-de Vries equation

M Dwivedi, T Sarkar - arXiv preprint arXiv:2409.18490, 2024 - arxiv.org
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 …

Fully Discrete Local Discontinuous Galerkin Method for the Generalized Benajamin-Ono Equation

M Dwivedi, T Sarkar - Available at SSRN 4943062 - papers.ssrn.com
The main purpose of this paper is to design a fully discrete local discontinuous Galerkin
(LDG) scheme for the generalized Benjamin-Ono equation. We analyze the stability and …