Numerical solutions of systems of nonlinear integro-differential equations by Homotopy-perturbation method
β Scribed by Pradip Roul; Peter Meyer
- Book ID
- 108057190
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 226 KB
- Volume
- 35
- Category
- Article
- ISSN
- 0307-904X
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In this study, the homotopy perturbation method proposed by Ji-Huan He is applied to solve both linear and nonlinear boundary value problems for fourth-order integro-differential equations. The analysis is accompanied by numerical examples. The results show that the homotopy perturbation method is o
The aim of this paper is to present an efficient analytical and numerical procedure for solving the high-order nonlinear Volterra-Fredholm integro-differential equations. Our method depends mainly on a Taylor expansion approach. This method transforms the integro-differential equation and the given
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