Numerical solution of three-dimensional backward heat conduction problems by the time evolution method of fundamental solutions

DOI10.1016/j.ijheatmasstransfer.2011.02.017zbMath1217.80094OpenAlexW2079895351MaRDI QIDQ547602

Yong-Cai Geng, Sumit K. Garg

Publication date: 24 June 2011

Published in: International Journal of Heat and Mass Transfer (Search for Journal in Brave)

Full work available at URL: http://ntur.lib.ntu.edu.tw/bitstream/246246/242476/-1/134.pdf

zbMATH Keywords

ill-posed problembackward heat conduction problemthree-dimensionalmethod of fundamental solutionsdiffusion fundamental solutions

Mathematics Subject Classification ID

Related Items (4)

The inverse solution of the atomic mixing equations by an operator-splitting method ⋮ Solving the backward heat conduction problem by homotopy analysis method ⋮ Simultaneous determination for a space-dependent heat source and the initial data by the MFS ⋮ The method of fundamental solution for the inverse source problem for the space-fractional diffusion equation

Cites Work

• The boundary element method for the solution of the backward heat conduction equation
• The method of fundamental solutions for axisymmetric elasticity problems
• Entropy- and Tikhonov-based regularization techniques applied to the backwards heat equation
• Solution of inverse diffusion problems by operator-splitting methods
• A fundamental solution method for inverse heat conduction problem
• Time-dependent fundamental solutions for homogeneous diffusion problems
• Past Cone Dynamics and Backward Group Preserving Schemes for Backward Heat Conduction Problems
• The method of fundamental solutions for the backward heat conduction problem
• The Use of the L-Curve in the Regularization of Discrete Ill-Posed Problems
• A DISCREPANCY PRINCIPLE FOR THE SOURCE POINTS LOCATION IN USING THE MFS FOR SOLVING THE BHCP
• The method of functional equations for the approximate solution of certain boundary value problems
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