AN IMPLICIT FINITE-DIFFERENCE SOLUTION TO ONE-DIMENSIONAL COUPLED BURGERS' EQUATIONS

DOI10.1142/S1793557113500587zbMath1362.65088OpenAlexW2071466744MaRDI QIDQ5396070

Mohammad Tamsir, Mukesh Kumar Awasthi, Sarita Singh, Vineet K. Srivastava

Publication date: 5 February 2014

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793557113500587

zbMATH Keywords

Newton's methodone-dimensional Burgers' equationCrank-Nicolson implicit finite-difference schemeGauss elimination with partial pivoting algorithm

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Finite difference methods applied to problems in fluid mechanics (76M20) 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)

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An efficient numerical scheme based on Lucas polynomials for the study of multidimensional Burgers-type equations ⋮ Half boundary method for two-dimensional steady-state nonlinear convection-diffusion equations ⋮ Efficient Chebyshev pseudospectral methods for viscous Burgers' equations in one and two space dimensions ⋮ An exponential cubic B-spline algorithm for solving the nonlinear Coupled Burgers’ equation ⋮ Weak Galerkin finite element method for solving one-dimensional coupled Burgers' equations ⋮ Fractional transform methods for coupled system of time fractional derivatives of non-homogeneous Burgers' equations arise in diffusive effects ⋮ Unnamed Item

Cites Work

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• An explicit solution of coupled viscous Burgers' equation by the decomposition method

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