Some implicit methods for the numerical solution of Burgers' equation

DOI10.1016/j.amc.2007.02.158zbMath1193.65160OpenAlexW2071257506MaRDI QIDQ990474

Amir Hossein A. E. Tabatabaei, Elham Shakour, Mehdi Dehghan

Publication date: 1 September 2010

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2007.02.158

zbMATH Keywords

Burgers' equationimplicit schemeviscous termbox schememultisymplectic method

Mathematics Subject Classification ID

Incompressible viscous fluids (76D99) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

Related Items (12)

High-order integral nodal discontinuous Gegenbauer-Galerkin method for solving viscous Burgers' equation ⋮ A novel numerical method for a class of problems with the transition layer and Burgers’ equation ⋮ Traveling and shock wave simulations in a viscous Burgers' equation with periodic boundary conditions ⋮ An efficient numerical scheme based on Lucas polynomials for the study of multidimensional Burgers-type equations ⋮ Local radial basis function-finite difference based algorithms for singularly perturbed Burgers' model ⋮ A hybrid numerical scheme for the numerical solution of the Burgers' equation ⋮ A fourth-order numerical scheme for solving the modified Burgers equation ⋮ Pointwise error analysis of the BDF3 compact finite difference scheme for viscous Burgers' equations ⋮ A Haar wavelet quasilinearization approach for numerical simulation of Burgers' equation ⋮ The modified local Crank-Nicolson method for one- and two-dimensional Burgers' equations ⋮ The pointwise error estimates of two energy-preserving fourth-order compact schemes for viscous Burgers' equation ⋮ A class of numerical algorithms based on cubic trigonometric B-spline functions for numerical simulation of nonlinear parabolic problems

Cites Work

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• Multisymplectic geometry and multisymplectic Preissmann scheme for the KdV equation
• Finite Volume Box Schemes and Mixed Methods

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