A Point Source Identification Problem for a Time Fractional Diffusion Equation | Zendy

Xiaomei Yang | Zendy; Zhi-Liang Deng | Zendy

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A Point Source Identification Problem for a Time Fractional Diffusion Equation

Author(s) -

Xiaomei Yang,

Zhi-Liang Deng

Publication year - 2013

Publication title -

advances in mathematical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.283

H-Index - 23

eISSN - 1687-9139

pISSN - 1687-9120

DOI - 10.1155/2013/485273

Subject(s) - heat equation , diffusion equation , identification (biology) , inverse problem , point source , diffusion , function (biology) , source function , point (geometry) , inverse , mathematics , space (punctuation) , mathematical analysis , computer science , mathematical optimization , physics , geometry , optics , thermodynamics , botany , economy , evolutionary biology , astrophysics , economics , biology , service (business) , operating system

An inverse source identification problem for a time fractional diffusion equation is discussed. The unknown heat source is supposed to be space dependent only. Based on the use of Green’s function, an effective numerical algorithm is developed to recover both the intensities and locations of unknown point sources from final measurements. Numerical results indicate that the proposed method is efficient and accurate

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