Using Meyer Wavelet Method to Identify an Unknown Source in the Heat Equation

Xian Li Lv; Xiu Fang Feng

doi:10.4028/p-JwWsp9

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HomeEngineering HeadwayEngineering Headway Vol. 10Using Meyer Wavelet Method to Identify an Unknown...

Using Meyer Wavelet Method to Identify an Unknown Source in the Heat Equation

Abstract:

AbstractIn this paper,we consider the problem for identifying the unknown source inthe heat equation.The Meyer wavelet reqularization method is extended todeal with ill-posedness of the problem and error estimates are obtained.Itcan be seen from the literature that wavelet plays an important role inthe identification of unknown sources,but most of them focus on numericalverification without theoretical proof.In this paper,theoretical proof is givenand numerical examples show that the proposed method is effective andstable.

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Periodical:

Engineering Headway (Volume 10)

Pages:

67-72

DOI:

https://doi.org/10.4028/p-JwWsp9

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Online since:

July 2024

Authors:

Xian Li Lv*, Xiu Fang Feng

Keywords:

Cauchy Problem, Heat Equation, Meyer Wavelet Regularization Method, Unknown Source

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