A meshfree method with a non-overlapping domain decomposition method based on TPS for solving the forward-backward heat equation in two-dimension

DOI10.1007/s11075-020-00952-3zbMath1468.65213OpenAlexW3049411041MaRDI QIDQ2661690

Siamak Banei, Kamal Shanazari

Publication date: 7 April 2021

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-020-00952-3

zbMATH Keywords

stabilityconvergencedomain decompositionradial basis functionsfinite differencemeshless methodthin plate spline

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) 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) PDEs in connection with classical thermodynamics and heat transfer (35Q79)

Related Items (4)

A noniterative domain decomposition method for the forward-backward heat equation ⋮ An RBF-PUM finite difference scheme for forward-backward heat equation ⋮ Unnamed Item ⋮ Coupling RBF-based meshless method and Landweber iteration algorithm for approximating a space-dependent source term in a time fractional diffusion equation

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