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ISSN:2394-3661 | Crossref DOI | SJIF: 5.138 | PIF: 3.854

International Journal of Engineering and Applied Sciences

(An ISO 9001:2008 Certified Online and Print Journal)

Two Regularization Methods Simultaneous Determination of Initial Value and the Source Term of the Heat Conduction Problem

( Volume 6 Issue 9,September 2019 ) OPEN ACCESS
Author(s):

Xue-Juan Ren, Cheng-Bo Jin

Abstract:

In this paper, we investigate the inverse problem of determining a heat source and initial temperature simultaneously in a parabolic equation. Since, it is an ill-posed problem, we use the mollification method to solve  source and  use the modified method to solve initial value. And we obtain an optimal error estimate from an a priori parameter choice rule. Finally, two examples show that the proposed method is effective and efficient.

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