Convergence of a conservative Crank-Nicolson finite difference scheme for the KdV equation...

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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) …
被引用次数：4 相关文章 所有 3 个版本
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Local Discontinuous Galerkin method for fractional Korteweg-de Vries equation

M Dwivedi, T Sarkar - arXiv preprint arXiv:2404.18069, 2024 - arxiv.org
We propose a local discontinuous Galerkin (LDG) method for fractional Korteweg-de Vries
equation involving the fractional Laplacian with exponent $\alpha\in (1, 2) $ in one and two …
被引用次数：3 相关文章 所有 2 个版本
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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 …
被引用次数：1 相关文章 所有 2 个版本
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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 …
相关文章 所有 2 个版本