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Multistage optimal homotopy asymptotic method for solving initial-value problems


Anakira, N. R. and Alomari, A. K. and Jameela, Ali and Hashim, Ishak (2016) Multistage optimal homotopy asymptotic method for solving initial-value problems. Journal of Nonlinear Science and Applications, 6. pp. 1826-1843. ISSN 2008-1898

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Abstract

In this paper, a new approximate analytical algorithm namely multistage optimal homotopy asymptotic method (MOHAM) is presented for the first time to obtain approximate analytical solutions for linear, nonlinear and system of initial value problems (IVPs).This algorithm depends on the standard optimal homotopy asymptotic method (OHAM), in which it is treated as an algorithm in a sequence of subinterval. The main advantage of this study is to obtain continuous approximate analytical solutions for a long time span.Numerical examples are tested to highlight the important features of the new algorithm.Comparison of the MOHAM results, standard OHAM, available exact solution and the fourth-order Runge Kutta (RK4) reveale that this algorithm is effective, simple and more impressive than the standard OHAM for solving IVPs.

Item Type: Article
Uncontrolled Keywords: Optimal homotopy asymptotic method (OHAM), multistage optimal homotopy asymptotic method (MOHAM), initial value problems, series solution, Mathematica 9. 2010 MSC: 65M10, 78A48.
Subjects: Q Science > QA Mathematics
Divisions: School of Quantitative Sciences
Depositing User: Mrs. Norazmilah Yaakub
Date Deposited: 28 Jun 2016 06:35
Last Modified: 28 Jun 2016 06:35
URI: http://repo.uum.edu.my/id/eprint/18359

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