A formulation of Peaceman and Rachford ADI method for the three-dimensional heat diffusion equation

DOI10.3390/MCA9020183zbMath1141.65377OpenAlexW2410662816MaRDI QIDQ928622

I. A. Ismail, Emad H. M. Zahran, Maha S. M. Shehata

Publication date: 11 June 2008

Published in: Mathematical \& Computational Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3390/mca9020183

zbMATH Keywords

numerical resultsfinite differencesalternating direction implicit methodPeaceman-Rachford methodheat diffusion equationVon Neumann Stability

Mathematics Subject Classification ID

Heat equation (35K05) 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)

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Error analysis of a fully discrete discontinuous Galerkin alternating direction implicit discretization of a class of linear wave-type problems

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