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He’s homotopy perturbation method for continuous population models for single and interacting species

✍ Scribed by Serdal Pamuk; Nevin Pamuk


Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
531 KB
Volume
59
Category
Article
ISSN
0898-1221

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✦ Synopsis


He's homotopy perturbation method is applied for obtaining approximate analytical solutions of continuous population models for single and interacting species. In comparison with existing techniques, this method is very straightforward, and the solution procedure is very simple. Also, it is highly effective in terms of accuracy and rapid convergence. Analytical and numerical studies are presented.


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✍ Jafar Saberi-Nadjafi; Asghar Ghorbani 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 579 KB

In this paper, we conduct a comparative study among He's homotopy perturbation method and three traditional methods for an analytic and approximate treatment of nonlinear integral and integro-differential equations. The proper implementation of He's homotopy perturbation method can extremely minimiz