A meshless method for solving nonhomogeneous Cauchy problems

DOI10.1016/j.enganabound.2010.09.003zbMath1259.65193OpenAlexW1988129181MaRDI QIDQ1944490

Ching-Shyang Chen, Benny Y. C. Hon, Ming Li

Publication date: 25 March 2013

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.enganabound.2010.09.003

zbMATH Keywords

inverse problemCauchy problemradial basis functionsmeshless methodsTikhonov's regularizationmethod of fundamental solutionsthe method of particular solutions

Mathematics Subject Classification ID

Fundamental solutions, Green's function methods, etc. for boundary value problems involving PDEs (65N80)

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Iterative algorithm for solving the inverse heat conduction problems with the unknown source function ⋮ A local meshless collocation method for solving certain inverse problems ⋮ A new approximate method for an inverse time-dependent heat source problem using fundamental solutions and RBFs ⋮ A numerical solution of the nonlinear controlled Duffing oscillator by radial basis functions ⋮ Cauchy problems of Laplace's equation by the methods of fundamental solutions and particular solutions ⋮ The bi-Helmholtz equation with Cauchy conditions: ill-posedness and regularization methods ⋮ Collocation Methods for Cauchy Problems of Elliptic Operators via Conditional Stabilities ⋮ Multiscale support vector regression method in Sobolev spaces on bounded domains ⋮ Radial basis functions approach on optimal control problems: a numerical investigation

Uses Software

• Regularization tools

Cites Work

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