A generalized Peaceman-Rachford ADI scheme for solving two-dimensional parabolic differential equations

DOI10.1023/A:1025631211217zbMath0908.65075OpenAlexW1580246963MaRDI QIDQ1269404

Weizhong Dai

Publication date: 18 March 1999

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1023/a:1025631211217

zbMATH Keywords

stabilityconvergencenumerical exampledifference schemeADI schemetwo-dimensional parabolic differential equationsalternating-direction implicit scheme

Mathematics Subject Classification ID

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) Iterative numerical methods for linear systems (65F10) Initial value problems for second-order parabolic equations (35K15)

Related Items (4)

Compact ADI method for solving parabolic differential equations ⋮ A generalized alternating-direction implicit scheme for incompressible magnetohydrodynamic viscous flows at low magnetic Reynolds number ⋮ Peaceman‐Rachford ADI scheme for the two dimensional flow of a second‐grade fluid ⋮ Interactions of two co-propagating laser beams in underdense plasmas using a generalized peaceman-Rachford ADI form

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