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He’s homotopy perturbation method: An effective tool for solving nonlinear integral and integro-differential equations

✍ Scribed by Jafar Saberi-Nadjafi; Asghar Ghorbani

Publisher: Elsevier Science
Year: 2009
Tongue: English
Weight: 579 KB
Volume: 58
Category: Article
ISSN: 0898-1221
DOI: 10.1016/j.camwa.2009.03.032

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✦ Synopsis

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 minimize the size of work if compared to existing traditional techniques. The analysis is accompanied by examples that demonstrate the comparison, and shows the pertinent features of the homotopy perturbation technique.

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✍ M. Tavassoli Kajani; M. Ghasemi; E. Babolian 📂 Article 📅 2007 🏛 Elsevier Science 🌐 English ⚖ 191 KB

This paper compares the homotopy perturbation method with the sine-cosine wavelet method for solving linear integrodifferential equations. From the computational viewpoint, the homotopy perturbation method is more efficient and easier than the sine-cosine wavelet method.