A generalization of Peaceman-Rachford fractional step method.

DOI10.1016/j.cam.2005.05.020zbMath1086.65093OpenAlexW1991897071MaRDI QIDQ818233

J. C. Jorge, Laura Portero

Publication date: 24 March 2006

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

Full work available at URL: https://doi.org/10.1016/j.cam.2005.05.020

zbMATH Keywords

algorithmstabilityconvergenceheat equationconsistencynumerical examplesdomain decompositionsemidiscretizationRunge-Kutta methodsfractional stepsdiffusion-reaction equationalternating direction implicit methodsPeaceman-Rachford scheme

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) Initial value problems for second-order parabolic equations (35K15) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)

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