A conservative parallel difference method for 2-dimension diffusion equation

DOI10.1016/j.aml.2017.11.004zbMath1381.65066OpenAlexW2769542584MaRDI QIDQ1693636

Zhiqiang Sheng, Dongxu Jia, Guang-Wei Yuan

Publication date: 31 January 2018

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2017.11.004

zbMATH Keywords

stabilityconvergencedomain decompositiondiffusion equationnumerical testconservative parallel difference 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) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)

Related Items (9)

A dissipation-preserving finite-difference scheme for a generalized Higgs boson equation in the de Sitter space-time ⋮ A Samarskii domain decomposition method for two-dimensional convection-diffusion equations ⋮ An efficient MMOCAA-DDM for solving advection diffusion equations ⋮ The unconditional stability and mass‐preserving <scp>S‐DDM</scp> scheme for solving parabolic equations in three dimensions ⋮ A new positivity‐preserving domain decomposition method for the 2‐D diffusion equation ⋮ The high accuracy conserved splitting domain decomposition scheme for solving the parabolic equations ⋮ The mass-preserving domain decomposition scheme for solving three-dimensional convection-diffusion equations ⋮ A new tailored finite point method for strongly anisotropic diffusion equation on misaligned grids ⋮ Conservative domain decomposition schemes for solving two-dimensional heat equations

Cites Work

• The mass-preserving and modified-upwind splitting DDM scheme for time-dependent convection-diffusion equations
• Unconditional stability of parallel difference schemes with second order accuracy for parabolic equation
• Conservative domain decomposition procedure with unconditional stability and second-order accuracy
• Corrected explicit-implicit domain decomposition algorithms for two-dimensional semilinear parabolic equations
• Stability and convergence of the explicit-implicit conservative domain decomposition procedure for parabolic problems
• A Conservative Domain Decomposition Procedure for Nonlinear Diffusion Problems on Arbitrary Quadrilateral Grids
• A Finite Difference Domain Decomposition Algorithm for Numerical Solution of the Heat Equation
• Explicit/Implicit, Conservative Domain Decomposition Procedures for Parabolic Problems Based on Block-Centered Finite Differences
• Numerical Solution of Partial Differential Equations
• Unconditional Stability of Corrected Explicit‐Implicit Domain Decomposition Algorithms for Parallel Approximation of Heat Equations

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