Numerical solution of the inverse problem of determining an unknown source term in a two-dimensional heat equation
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A numerical procedure for an inverse problem of determination of unknown source term in two-dimensional parabolic equation is presented. The approach of the proposed method is to approximate unknown function by a piecewise linear function whose coefficients are determined from the solution of minimisation problem based on the overspecified data. Some numerical examples are presented.
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[3] Afet Golayoglu Fatullayev. Numerical solution of the inverse problem of determining an unknown source term in a heat equation , 2002, Math. Comput. Simul..