A compact alternate direct implicit difference method for solving parabolic equation of multi-dimension

DOI10.1016/j.amc.2008.11.049zbMath1166.65372OpenAlexW1989269375MaRDI QIDQ1026300

Mingshu Ma, Wen-Juan Ma, Xiao-Feng Wang

Publication date: 24 June 2009

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

Full work available at URL: https://doi.org/10.1016/j.amc.2008.11.049

zbMATH Keywords

stabilityconvergencenumerical resultsextrapolation methodtruncation errorhigh-order accuracycompact difference schememulti-dimensional parabolic equationalternate direct implicit difference 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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Initial value problems for second-order parabolic equations (35K15)

Related Items (2)

Stability and convergence of difference schemes for multi-dimensional parabolic equations with variable coefficients and mixed derivatives ⋮ A new high accuracy two-level implicit off-step discretization for the system of two space dimensional quasi-linear parabolic partial differential equations

Cites Work

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• Alternating direction methods for three space variables
• The Numerical Solution of Parabolic and Elliptic Differential Equations

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