A fourth order ADI method for semidiscrete parabolic equations

DOI10.1016/0377-0427(83)90027-4zbMath0513.65051OpenAlexW2071526307MaRDI QIDQ1050743

P. J. van der Houwen, H. B. de Vries

Publication date: 1983

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(83)90027-4

zbMATH Keywords

comparisonnumerical experimentsalternating direction implicit methodfourth order methodADI methodmethod of Peaceman and Rachfordmultistep splitting methods

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Method of lines for boundary value problems involving PDEs (65N40)

Related Items

A multi-block ADI finite-volume method for incompressible Navier-Stokes equations in complex geometries, A fourth order alternating direction method based on the (2, 2) - Padé Approximant, A high-order Padé ADI method for unsteady convection-diffusion equations, A comparative study of ADI splitting methods for parabolic equations in two space dimensions

Uses Software

• Hopscotch

Cites Work

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• One-step splitting methods for semi-discrete parabolic equations
• Optimal stability polynomials
• The Numerical Solution of Parabolic and Elliptic Differential Equations
• Alternating Direction Implicit Methods for Parabolic Equations with a Mixed Derivative
• Hopscotch: a Fast Second-order Partial Differential Equation Solver
• Some recent methods for the numerical solution of time-dependent partial differential equations