2013
DOI: 10.1155/2013/485273
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A Point Source Identification Problem for a Time Fractional Diffusion Equation

Abstract: 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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Cited by 7 publications
(1 citation statement)
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References 32 publications
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“…The reciprocal gap method can be used to determine the location of point sources on R 2 along with other information in evolution equations; see [2] for its application in the heat equation and [13] in the TFDE. An exhaustion-type method is also proposed by Yang and Deng [47] to recover the location of point sources.…”
Section: Introductionmentioning
confidence: 99%
“…The reciprocal gap method can be used to determine the location of point sources on R 2 along with other information in evolution equations; see [2] for its application in the heat equation and [13] in the TFDE. An exhaustion-type method is also proposed by Yang and Deng [47] to recover the location of point sources.…”
Section: Introductionmentioning
confidence: 99%