An RBF-PUM finite difference scheme for forward-backward heat equation

DOI10.1007/s40314-023-02311-zzbMath1524.65648OpenAlexW4382060004MaRDI QIDQ6172872

Gholamreza Garmanjani, Yaqub Azari, Kamal Shanazari, Siamak Banei

Publication date: 20 July 2023

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

Full work available at URL: https://doi.org/10.1007/s40314-023-02311-z

zbMATH Keywords

meshless methodspartition of unityRBF collocation methodforward-backward heat problem

Mathematics Subject Classification ID

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) Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs (65M70) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Complexity and performance of numerical algorithms (65Y20) PDEs in connection with classical thermodynamics and heat transfer (35Q79) Numerical radial basis function approximation (65D12)

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