The space-time generalized finite difference scheme for solving the nonlinear equal-width equation in the long-time simulation

DOI10.1016/j.aml.2022.108181OpenAlexW4280639758WikidataQ113880632 ScholiaQ113880632MaRDI QIDQ2673737

Po-Wei Li

Publication date: 13 June 2022

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2022.108181

zbMATH Keywords

meshless methodsgeneralized finite difference methodequal width equationspace-time approachtime-marching method

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Fluid mechanics (76-XX) Spectral, collocation and related (meshless) methods applied to problems in thermodynamics and heat transfer (80M22)

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Cites Work

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• A cubic B-spline collocation method for the EW equation
• A Localized Space-Time Method of Fundamental Solutions for Diffusion and Convection-Diffusion Problems
• Model equations for long waves in nonlinear dispersive systems
• The space-time kernel-based numerical method for Burgers' equations

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