High accuracy difference schemes for the system of two space nonlinear parabolic differential equations with mixed derivatives and variable coefficients

DOI10.1016/0377-0427(95)00135-2zbMath0873.65085OpenAlexW2091001659MaRDI QIDQ1919495

Yanyan Li

Publication date: 30 October 1997

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

Full work available at URL: https://doi.org/10.1016/0377-0427(95)00135-2

zbMATH Keywords

Navier-Stokes equationsheat equationnonlinear parabolic equationsimplicit finite difference schemevariable coefficientsADI method

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Nonlinear parabolic equations (35K55) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items

ADI schemes for higher-order nonlinear diffusion equations. ⋮ A new two-level implicit discretization of \(O(k^{2} + kh^{2} + h^{4})\) for the solution of singularly perturbed two-space dimensional non-linear parabolic equations ⋮ Peaceman‐Rachford ADI scheme for the two dimensional flow of a second‐grade fluid ⋮ Single cell discretization ofO(kh2 +h4) for the estimates of for the two-space dimensional quasi-linear parabolic equation ⋮ A new high accuracy two-level implicit off-step discretization for the system of two space dimensional quasi-linear parabolic partial differential equations ⋮ Extrapolation algorithm of compact ADI approximation for two-dimensional parabolic equation ⋮ Numerical inversion of a Laplace transform solution of a diffusion equation with a mixed derivative term

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