IMPLEMENTATION OF SINC-GALERKIN ON PARABOLIC INVERSE PROBLEM WITH UNKNOWN BOUNDARY CONDITION

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BIAZAR J.; HOULARI T.

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Journal: INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS Year:2015 | Volume:7 | Issue:4 Page(s): 313-319

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Title

IMPLEMENTATION OF SINC-GALERKIN ON PARABOLIC INVERSE PROBLEM WITH UNKNOWN BOUNDARY CONDITION

Author(s)

BIAZAR J. | HOULARI T. | Issue Writer Certificate

Keywords

ILL-POSED INVERSE PROBLEMSQ2

SINC-GALERKIN METHODQ2

TIKHONOV REGULARIZATIONQ2

UNKOWN BOUNDARY CONDITIONQ2

Abstract

The determination of an unknown boundary condition, in a nonlinaer inverse diffusion problem is considered. For solving these ILL-POSED INVERSE PROBLEMS, Galerkin method based on Sinc basis functions for space and time will be used. To solve the system of linear equation, a noise is imposed and Tikhonove regularization is applied. By using a sensor located at a point in the domain of x, say x = a′, and determining u (a′, t) a stable solution will be achived. An illustrative example is provided to show the ability and the efficiency of this numerical approach.

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APA: Copy

BIAZAR, J., & HOULARI, T.. (2015). IMPLEMENTATION OF SINC-GALERKIN ON PARABOLIC INVERSE PROBLEM WITH UNKNOWN BOUNDARY CONDITION. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, 7(4), 313-319. SID. https://sid.ir/paper/231701/en

Vancouver: Copy

BIAZAR J., HOULARI T.. IMPLEMENTATION OF SINC-GALERKIN ON PARABOLIC INVERSE PROBLEM WITH UNKNOWN BOUNDARY CONDITION. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS[Internet]. 2015;7(4):313-319. Available from: https://sid.ir/paper/231701/en

IEEE: Copy

J. BIAZAR, and T. HOULARI, “IMPLEMENTATION OF SINC-GALERKIN ON PARABOLIC INVERSE PROBLEM WITH UNKNOWN BOUNDARY CONDITION,” INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, vol. 7, no. 4, pp. 313–319, 2015, [Online]. Available: https://sid.ir/paper/231701/en

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