Construction of a new time-space two-grid method and its solution for the generalized Burgers' equation

DOI10.1016/j.aml.2024.109244zbMATH Open1547.65134MaRDI QIDQ6592480

Yang Shi, Xuehua Yang, Zhimin Zhang

Publication date: 26 August 2024

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

zbMATH Keywords

convergencefinite difference methodBurgers' equationconservationtime-space two-grid method

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

Cites Work

• Time two-grid technique combined with temporal second order difference method for two-dimensional semilinear fractional sub-diffusion equations
• The study of exact and numerical solutions of the generalized viscous Burgers' equation
• A Novel Two-Grid Method for Semilinear Elliptic Equations
• Shock Layer Movement for Burgers’ equation
• Efficient third-order BDF finite difference scheme for the generalized viscous Burgers' equation
• Temporal second-order fully discrete two-grid methods for nonlinear time-fractional variable coefficient diffusion-wave equations

This page was built for publication: Construction of a new time-space two-grid method and its solution for the generalized Burgers' equation