Article ID Journal Published Year Pages File Type
837341 Nonlinear Analysis: Real World Applications 2013 13 Pages PDF
Abstract

A new method by the reproducing kernel Hilbert space is applied to an inverse heat problem of determining a time-dependent source parameter. The problem is reduced to a system of linear equations. The exact and approximate solutions are both obtained in a reproducing kernel space. The approximate solution and its partial derivatives are proved to converge to the exact solution and its partial derivatives, respectively. The proposed method improves the existing method. Our numerical results show that the method is of high precision.

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Physical Sciences and Engineering Engineering Engineering (General)
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