A two-dimensional inverse heat conduction problem for estimating heat source | Zendy

A. Shidfar | Zendy; Ali Zakeri | Zendy; A. Neisi | Zendy

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A two-dimensional inverse heat conduction problem for estimating heat source

Author(s) -

A. Shidfar,

Ali Zakeri,

A. Neisi

Publication year - 2005

Publication title -

international journal of mathematics and mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 39

eISSN - 1687-0425

pISSN - 0161-1712

DOI - 10.1155/ijmms.2005.1633

Subject(s) - mathematics , inverse problem , piecewise , heat equation , thermal conduction , inverse , heat kernel , domain (mathematical analysis) , volterra integral equation , piecewise linear function , square (algebra) , mathematical analysis , integral equation , mathematical optimization , geometry , thermodynamics , physics

This note considers the problem of estimating unknown time-varying strength of the temporal-dependent heat source, from measurements of the temperature inside the square domain, when the prior knowledge of the source functions is notavailable. This problem is an inverse heat conduction problem. In this process, the direct problem will be solved by using the heat fundamental solution. Then a sequential algorithm is developed to solve a Volterra integral equation, which has been produced by using unknown source term and overposed data conditions. This algorithm is based on the piecewise linear continuous functions. The performance of the present technique of inverse analysis is evaluated, by means of several numerical experiments, and is foundto be very accurate as well as efficient

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