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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