An extended method of time-dependent fundamental solutions for inhomogeneous heat conduction

DOI10.1016/j.enganabound.2008.09.006zbMath1244.80020OpenAlexW1998561787MaRDI QIDQ443498

J. Herrera, H. S. Yoon

Publication date: 7 August 2012

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

Full work available at URL: https://doi.org/10.1016/j.enganabound.2008.09.006

zbMATH Keywords

method of fundamental solutionstransient heat conductioninhomogeneous heat conduction

Mathematics Subject Classification ID

Fundamental solutions, Green's function methods, etc. for initial value and initial-boundary value problems involving PDEs (65M80)

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Cites Work

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• The method of fundamental solutions for elliptic boundary value problems
• A new method of fundamental solutions applied to nonhomogeneous elliptic problems
• A method of fundamental solutions for inverse heat conduction problems in an anisotropic medium
• A fundamental solution method for inverse heat conduction problem
• A meshless model for transient heat conduction in functionally graded materials
• A new meshless method for steady-state heat conduction problems in anisotropic and inhomogeneous media
• Time-dependent fundamental solutions for homogeneous diffusion problems
• The method of fundamental solutions for inverse boundary value problems associated with the steady-state heat conduction in anisotropic media
• The method of fundamental solutions for the backward heat conduction problem
• The method of fundamental solutions for heat conduction in layered materials
• A mesh free approach using radial basis functions and parallel domain decomposition for solving three‐dimensional diffusion equations
• The Method of Fundamental Solutions for Stationary Heat Conduction Problems in Rotationally Symmetric Domains
• The method of fundamental solutions with eigenfunction expansion method for nonhomogeneous diffusion equation