Fourth-order finite difference method for 2D parabolic partial differential equations with nonlinear first-derivative terms

DOI10.1002/num.1690080102zbMath0748.65068OpenAlexW2168414296MaRDI QIDQ3988605

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Publication date: 28 June 1992

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.1690080102

zbMATH Keywords

numerical examples unconditional stability Burger's equation order of accuracy high efficiency diffusion- convection equation two-dimensional nonlinear parabolic differential equation two-level implicit finite-difference scheme

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) 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) Functional-differential equations (including equations with delayed, advanced or state-dependent argument) (34K99)

Related Items (4)

High accuracy difference schemes for the system of two space nonlinear parabolic differential equations with mixed derivatives and variable coefficients ⋮ Single cell discretization ofO(kh2 +h4) for the estimates of for the two-space dimensional quasi-linear parabolic equation ⋮ A numerical method for diffusion-convection equation using high-order difference schemes ⋮ A new high accuracy two-level implicit off-step discretization for the system of two space dimensional quasi-linear parabolic partial differential equations

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