A. Babaei - Department of Mathematics, University of Mazandaran, Babolsar, Iran

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.

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