A numerical solution of a two-dimensional IHCP

In this paper, we will first study the existence and uniqueness of the solution of a two-dimensional inverse heat conduction problem (IHCP) which is severely ill-posed, i.e., the solution does not depend continuously on the data. We propose a stable numerical approach based on the finite-difference...

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Veröffentlicht in:	Journal of applied mathematics & computing 2013-03, Vol.41 (1-2), p.61-79
Hauptverfasser:	Pourgholi, Reza, Esfahani, Amin, Abtahi, Morteza
Format:	Artikel
Sprache:	eng
Schlagworte:	Applied mathematics Approximation Computational Mathematics and Numerical Analysis Finite difference method Heat Heat conduction Heat conductivity Ill posed problems Linear systems Mathematical analysis Mathematical and Computational Engineering Mathematical models Mathematics Mathematics and Statistics Mathematics of Computing Maximum entropy method Numerical analysis Original Research Regularization Regularization methods Studies Temperature Theory of Computation Two dimensional
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