Implementation to the Different Differential Equations of Homotopy Analysis, Differential Transformed and Adomian Decomposition Method - Volume 3 Number 6 (Dec. 2013) - ijmo
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General Information
Editor-in-chief
Prof. Adrian Olaru
University Politehnica of Bucharest, Romania
I'm happy to take on the position of editor in chief of IJMO. It's a journal that shows promise of becoming a recognized journal in the area of modelling and optimization. I'll work together with the editors to help it progress.
IJMO 2013 Vol.3(6): 529-534 ISSN: 2010-3697
DOI: 10.7763/IJMO.2013.V3.335

Implementation to the Different Differential Equations of Homotopy Analysis, Differential Transformed and Adomian Decomposition Method

Necdet Bildik and Şeyma Erdoğan
Abstract—In this study, the concept of Homotopy analysis method (HAM) is briefly introduced. Furthermore some non-linear problems are handled and the solutions of these problems are given using by HAM, DTM, ADM methods and the convergence of the solution is shown to the exact solution. Additionally, the three methods are compared and it is observed that the HAM is more-less efficient and effective than the ADM and DTM in according to the exact solution. In the end, some of the numerical solutions of two examples are presented and the results are shown in graphs and figures.

Index Terms—Homotopy analysis method, differential transform method, adomian decomposition method, auxiliary linear operator, embedding parameter, deformation equation.

The authors are with Celal Bayar University, Faculty of Arts and Sciences, Department of Mathematics, Muradiye Campus, 45047, Manisa, Turkey (e-mail: necdet.bildik@cbu.edu.tr)

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Cite:Necdet Bildik and Şeyma Erdoğan, "Implementation to the Different Differential Equations of Homotopy Analysis, Differential Transformed and Adomian Decomposition Method," International Journal of Modeling and Optimization vol. 3, no. 6, pp. 529-524, 2013.

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