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Number - 1394 |
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Date -
January 17th, 13 |
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Date -
January 17th, 13 |
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| Summary |
In this paper, we apply Homotopy perturbation transform method (HPTM) for solving
singular fourth order parabolic partial differential equations with variable coefficients.
This method is the combination of the Laplace transform method and Homotopy
perturbation method. The nonlinear terms can be easily handled by the use of He's
polynomials. The aim of using the Laplace transform is to overcome the deficiency
that is mainly caused by unsatisfied conditions in other semi-analytical methods
such as Homotopy perturbation method (HPM), Variational iteration method (VIM)
and Adomain Decomposition method (ADM). The proposed scheme finds the
solutions without any discretization or restrictive assumptions and avoids the round-
off errors. The comparison shows a precise agreement between the results and
introduces this method as an applicable one which it needs fewer computations and
is much easier and more convenient than others, so it can be widely used in
engineering too.
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Analytical Solution of singular fourth order parabolic partial differential equations of variable coefficients by using homotopy perturbation transfor
