Finite difference approximate solutions for the two-dimensional Burgers' system.

DOI10.1016/S0898-1221(02)00140-2zbMath1044.65070OpenAlexW2084493946MaRDI QIDQ1609173

Rangachary Kannan, Sang K. Chung

Publication date: 15 August 2002

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0898-1221(02)00140-2

zbMATH Keywords

stabilityconvergenceerror boundsenergy methodsquadrature rulesdiscrete Gronwall's inequalityimplicit difference schemebackward Euler formulaeBurgers' systemLerray-Schauder fixed-point theorem

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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (7)

A new approach of superconvergence analysis for nonlinear BBM equation on anisotropic meshes ⋮ On the convergence of difference schemes for the Benjamin-Bona-Mahony (BBM) equation ⋮ Methods for the numerical solution of the Benjamin-Bona-Mahony-Burgers equation ⋮ An efficient numerical method for solving Benjamin–Bona–Mahony–Burgers equation using difference scheme ⋮ Numerical simulation of Kadomtsev-Petviashvili-Benjamin-Bona-Mahony equations using finite difference method ⋮ A fully Galerkin method for the damped generalized regularized long‐wave (DGRLW) equation ⋮ A second‐order accurate difference scheme for the two‐dimensional Burgers' system

Cites Work

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• The two-dimensional Burgers' turbulence model
• Approximate Solutions of Parabolic Equations
• A Difference Scheme for a Nonlinear Partial Integrodifferential Equation
• Asymptotic solutions of a generalized Burgers equation
• Stability and uniqueness for a turbulence model of Burgers
• AnO(K2 +h4) finite difference method for one-space Burger's equation in polar coordinates

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