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The inverse problem of identifying an unknown source control param- eter in a semilinear parabolic equation under an integral overdetermina- tion condition is considered. The series pattern solution of the proposed problem is obtained by using the weighted homotopy analysis method (WHAM). A description of the method for solving the problem and nding the unknown parameter is derived. Finally, two numerical examples are investigated to illustrate this method.

کلیدواژه ها:

Semilinear parabolic equation ، Inverse problem ، Unknown control parameter ، Weighted homotopy analysis method ، Series solution