Higher-order accurate numerical solution of unsteady Burgers' equation

DOI10.1016/j.amc.2014.11.013zbMath1328.65186OpenAlexW2143720623MaRDI QIDQ902770

O. Chuluunbaatar, T. Zhanlav, V. Ulziibayar

Publication date: 4 January 2016

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

Full work available at URL: https://doi.org/10.1016/j.amc.2014.11.013

zbMATH Keywords

higher-order accurate numerical schemesHope-Cole transformationunsteady Burgers' equation

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)

Related Items (9)

An efficient operational matrix approach for the solutions of Burgers' and fractional Burgers' equations using wavelets ⋮ High-order numerical solution of viscous Burgers' equation using an extended Cole–Hopf barycentric Gegenbauer integral pseudospectral method ⋮ A class of compact finite difference schemes for solving the 2D and 3D Burgers' equations ⋮ An interwoven composite tailored finite point method for two dimensional unsteady Burgers' equation ⋮ On the uniqueness of solutions in inverse problems for Burgers' equation under a transverse diffusion ⋮ High accuracy compact difference and multigrid methods for two-dimensional time-dependent nonlinear advection-diffusion-reaction problems ⋮ A space-time fully decoupled wavelet Galerkin method for solving two-dimensional Burgers' equations ⋮ A class of high-order compact difference schemes for solving the Burgers' equations ⋮ Stable explicit stepwise marching scheme in ill-posed time-reversed 2D Burgers' equation

Cites Work

• A Haar wavelet quasilinearization approach for numerical simulation of Burgers' equation
• A Chebyshev spectral collocation method for solving Burgers'-type equations
• Distributed approximating functional approach to Burgers' equation in one and two space dimensions
• Numerical solution of one-dimensional Burgers equation: Explicit and exact-explicit finite difference methods
• Comparison of higher-order accurate schemes for solving the two-dimensional unsteady Burgers' equation
• Lattice Boltzmann model for two-dimensional unsteady Burgers' equation
• Generation of Finite Difference Formulas on Arbitrarily Spaced Grids
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