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http://dx.doi.org/10.14317/jami.2017.439

A TRACE-TYPE FUNCTIONAL METHOD FOR DETERMINATION OF A COEFFICIENT IN AN INVERSE HEAT CONDUCTION PROBLEM  

WEN, JIN (Department of Mathematics, Northwest Normal University)
CHENG, JUN-FENG (Department of Mathematics, Northwest Normal University)
Publication Information
Journal of applied mathematics & informatics / v.35, no.5_6, 2017 , pp. 439-447 More about this Journal
Abstract
This paper investigates the inverse problem of determining an unknown heat radiative coefficient, which is only time-dependent. This is an ill-posed problem, that is, small errors in data may cause huge deviations in determining solution. In this paper, the existence and uniqueness of the problem is established by the second Volterra integral equation theory, and the method of trace-type functional formulation combined with finite difference scheme is studied. One typical numerical example using the proposed method is illustrated and discussed.
Keywords
inverse heat conduction problem; uniqueness; trace-type functional; finite difference technique; inverse coefficient;
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