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Analytical solutions of boundary values problem of 2D and 3D Poisson and biharmonic equations by homotopy decomposition method


Citation

Atangana, Abdon and Kilicman, Adem (2013) Analytical solutions of boundary values problem of 2D and 3D Poisson and biharmonic equations by homotopy decomposition method. Abstract and Applied Analysis, 2013. art. no. 380484. pp. 1-9. ISSN 1085-3375; ESSN: 1687-0409

Abstract

The homotopy decomposition method, a relatively new analytical method, is used to solve the 2D and 3D Poisson equations and biharmonic equations. The method is chosen because it does not require the linearization or assumptions of weak nonlinearity, the solutions are generated in the form of general solution, and it is more realistic compared to the method of simplifying the physical problems. The method does not require any corrected function or any Lagrange multiplier and it avoids repeated terms in the series solutions compared to the existing decomposition method including the variational iteration method, the Adomian decomposition method, and Homotopy perturbation method. The approximated solutions obtained converge to the exact solution as N tends to infinity.


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Additional Metadata

Item Type: Article
Divisions: Faculty of Science
Institute for Mathematical Research
DOI Number: https://doi.org/10.1155/2013/380484
Publisher: Hindawi Publishing Corporation
Keywords: Boundary value problems; Poisson equations; Biharmonic equations; Numerical solution
Depositing User: Umikalthom Abdullah
Date Deposited: 25 Aug 2014 06:57
Last Modified: 31 Mar 2016 08:24
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1155/2013/380484
URI: http://psasir.upm.edu.my/id/eprint/30188
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