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2019 Optimal Homotopy Asymptotic and Multistage Optimal Homotopy Asymptotic Methods for Solving System of Volterra Integral Equations of the Second Kind
Jafar Biazar, Roya Montazeri
J. Appl. Math. 2019: 1-17 (2019). DOI: 10.1155/2019/3037273

Abstract

In this paper, optimal homotopy asymptotic method (OHAM) and its implementation on subinterval, called multistage optimal homotopy asymptotic method (MOHAM), are presented for solving linear and nonlinear systems of Volterra integral equations of the second kind. To illustrate these approaches two examples are presented. The results confirm the efficiency and ability of these methods for such equations. The results will be compared to find out which method is more accurate. Advantages of applying MOHAM are also illustrated.

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Jafar Biazar. Roya Montazeri. "Optimal Homotopy Asymptotic and Multistage Optimal Homotopy Asymptotic Methods for Solving System of Volterra Integral Equations of the Second Kind." J. Appl. Math. 2019 1 - 17, 2019. https://doi.org/10.1155/2019/3037273

Information

Received: 21 July 2018; Revised: 26 November 2018; Accepted: 4 December 2018; Published: 2019
First available in Project Euclid: 26 February 2019

zbMATH: 07051372
MathSciNet: MR3898787
Digital Object Identifier: 10.1155/2019/3037273

Rights: Copyright © 2019 Hindawi

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