2D parallel and stable group explicit finite difference method for solution of diffusion equation

DOI10.1016/j.amc.2006.10.057zbMath1121.65094OpenAlexW1984210720MaRDI QIDQ2371998

Parviz Davami, Rohallah Tavakoli

Publication date: 10 July 2007

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

Full work available at URL: https://doi.org/10.1016/j.amc.2006.10.057

zbMATH Keywords

heat equationdomain decompositiondiffusion equationunconditional stabilityparallel algorithmfinite differencenumerical experimentfully explicit

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) Parallel numerical computation (65Y05)

Related Items (6)

An accurate numerical solver on second order PDEs with variable coefficients in three dimensions ⋮ A non-separable solution of the diffusion equation based on the Galerkin's method using cubic splines ⋮ Efficient numerical schemes for gradient vector flow ⋮ Lagged diffusivity method for the solution of nonlinear diffusion convection problems with finite differences ⋮ Unconditional stability of alternating difference schemes with intrinsic parallelism for two-dimensional fourth-order diffusion equation ⋮ An explicit stable finite difference method for the Allen-Cahn equation

Cites Work

• New stable group explicit finite difference method for solution of diffusion equation
• Alternating group explicit method for the diffusion equation
• Finite difference methods (Part 1). Solution of equations in \(R^ n\) (Part 1)
• 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
• Unconditional stability of parallel alternating difference schemes for semilinear parabolic systems
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: 2D parallel and stable group explicit finite difference method for solution of diffusion equation