Numerical solution of a semi-linear inverse parabolic problem via HPM
by Malihe Rostamian; Alimardan Shahrezaee
International Journal of Computing Science and Mathematics (IJCSM), Vol. 7, No. 4, 2016

Abstract: In this work, we consider the problem of finding an unknown time-dependent function in a semi-linear parabolic equation with given initial, boundary and energy over-specified conditions. The homotopy perturbation method, a powerful technique, is applied to obtain the numerical solution of this problem. Using this method, a rapid convergent sequence can be constructed which tends to the exact solution of the problem. Some examples are presented to illustrate the strength of the method.

Online publication date: Thu, 01-Sep-2016

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