Title: Numerical solution of a semi-linear inverse parabolic problem via HPM

Authors: Malihe Rostamian; Alimardan Shahrezaee

Addresses: Department of Mathematics, Alzahra University, Vanak, 19834, Tehran, Iran ' Department of Mathematics, Alzahra University, Vanak, 19834, Tehran, Iran

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.

Keywords: semi-linear parabolic equations; homotopy perturbation method; control parameters; convergence.

DOI: 10.1504/IJCSM.2016.078683

International Journal of Computing Science and Mathematics, 2016 Vol.7 No.4, pp.330 - 339

Received: 27 Jun 2014
Accepted: 09 Apr 2015
Published online: 01 Sep 2016 *

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