A higher-order difference method for 3-D parabolic partial differential equations with nonlinear first derivative terms

DOI10.1080/00207169108803961zbMath0741.65080OpenAlexW2013672714MaRDI QIDQ4713424

No author found.

Publication date: 25 June 1992

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207169108803961

zbMATH Keywords

performancestabilityfinite difference methodnumerical exampleslinear diffusion-convection equationoperator splitting methodsecond order nonlinear parabolic partial differential equation

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite difference methods for boundary value problems involving PDEs (65N06)

Related Items

Fourth order operator splitting method for the three space parabolic equation with variable coefficients, PARALLEL L₀-STABLE METHODS FOR THE MULTI-DIMENSIONAL DIFFUSION EQUATION, High resolution operator compact implicit half-step approximation for 3D quasi-linear hyperbolic equations and ADI method for 3D telegraphic equation on an irrational domain

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Higher order accurate difference solutions of fluid mechanics problems by a compact differencing technique
• The operator compact implicit method for parabolic equations
• A general formulation of alternating direction methods. I: Parabolic and hyperbolic problems
• An Implicit Factored Scheme for the Compressible Navier-Stokes Equations
• The solution of the three-dimensional Navier-Stokes equations using a new finite difference approach
• A New Alternating Direction Method for Parabolic Equations in Three Space Variables
• A New Computational Procedure for A.D.I. Methods