Iterative methods for a forward-backward heat equation in two-dimension

DOI10.1007/s11766-010-1812-1zbMath1224.65209OpenAlexW2083536107MaRDI QIDQ622468

Jie Sun, Xiao-liang Cheng

Publication date: 5 February 2011

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11766-010-1812-1

zbMATH Keywords

convergenceerror estimatesfinite difference methoddomain decompositionnumerical experimentsiterative methodcoarse meshforward-backward heat equation

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) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55)

Related Items (6)

A meshfree method with a non-overlapping domain decomposition method based on TPS for solving the forward-backward heat equation in two-dimension ⋮ A noniterative domain decomposition method for the forward-backward heat equation ⋮ A non‐overlapping domain decomposition dual reciprocity method for solving the forward–backward heat equation in two‐dimension ⋮ An RBF-PUM finite difference scheme for forward-backward heat equation ⋮ On the convergence analysis and stability of the RBF-adaptive method for the forward-backward heat problem in 2D ⋮ Solving the forward-backward heat equation with a non-overlapping domain decomposition method based on multiquadric RBF meshfree method

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