International Journal of Science and Technology

International Journal of Science and Technology>> Volume 7, Number 6, June 2017

International Journal of Science and Technology


Application of New Homotopy Analysis Method for First and Second Orders Integro- Differential Equations

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Author O. A. TAIWO, A .O ADEWUMI, R . A. RAJI
On Pages 328-332
Volume No. 2
Issue No. 5
Issue Date May, 2012
Publishing Date May, 2012
Keywords Homotopy, Perturbation, Sine-Cosine wavelets, integro-differential equation


Abstract

This paper is aimed to demonstrate the modified form of Homotopy Analysis Method for solving both linear and nonlinear integro differential equations.The modified form of Homotopy Analysis method is found to be fast, reliable and accurate and contains an auxiliary parameter that provides a powerful tool to analyses strongly linear and nonlinear (without linearization) problems directly. Numerical examples are presented to compare the results obtained with some existing results found in literatures. Results obtained by the modified form Homotopy Analysis method are compared favorably and performed better in terms of accuracy achieved.

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