Application of Meshless Methods for Solving an Inverse Heat Conduction Problem
Keywords:
IHCP, Basis function method, Tikhonov regularization method, meshless method, GCV, Ill-conditioned, Heat polynomials, Auxiliary problem.Abstract
In this paper, we consider the inverse problem of determining the unknown temperatureat x = 0 and section of initial condition at t = 0 in an inverse heat conduction problem (IHCP).
Two new numerical methods are developed by using the solution of an auxiliary problem and
heat polynomials as basis functions in presence of noisy data. Due to ill-posed IHCP, we use
the Tikhonov regularization technique with the GCV scheme to solve the resulting matrix system
of the basis function methods (BFM). Some numerical examples are presented to illustrate the
strength of the methods.
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Published
2016-01-27
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Section
Partial Differential Equations and Dynamical Systems
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How to Cite
Application of Meshless Methods for Solving an Inverse Heat Conduction Problem. (2016). European Journal of Pure and Applied Mathematics, 9(1), 64-83. https://www.ejpam.com/index.php/ejpam/article/view/2501