New stable group explicit finite difference method for solution of diffusion equation

DOI10.1016/j.amc.2006.03.005zbMath1106.65077OpenAlexW2009581528MaRDI QIDQ856135

Rohallah Tavakoli, Parviz Davami

Publication date: 7 December 2006

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

Full work available at URL: https://doi.org/10.1016/j.amc.2006.03.005

zbMATH Keywords

heat equationnumerical experimentsdiffusion equationdomain decomposition methodunconditionally stabilityalternating group explicit methodparallel difference schemeSaul'yev schemes

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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Cites Work

• Alternating group explicit method for the diffusion equation
• The alternating segment explicit-implicit scheme for the dispersive equation
• The D'yakonov fully explicit variant of the iterative decomposition method
• An unconditionally stable parallel difference scheme for parabolic equations.
• Alternating block explicit-implicit method for the two-dimensional diffusion equation
• Implicit-Explicit Parallel Asynchronous Solver of Parabolic PDEs
• Implicit-Explicit Methods for Time-Dependent Partial Differential Equations
• Unconditional stability of alternating difference schemes with intrinsic parallelism for two-dimensional parabolic systems
• An Alternating Direction Method for Operator Equations
• Unconditional stability of parallel alternating difference schemes for semilinear parabolic systems
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