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2018 An Efficient Numerical Method for a Class of Nonlinear Volterra Integro-Differential Equations
M. H. Daliri Birjandi, J. Saberi-Nadjafi, A. Ghorbani
J. Appl. Math. 2018: 1-7 (2018). DOI: 10.1155/2018/7461058

Abstract

We investigate an efficient numerical method for solving a class of nonlinear Volterra integro-differential equations, which is a combination of the parametric iteration method and the spectral collocation method. The implementation of the modified method is demonstrated by solving several nonlinear Volterra integro-differential equations. The results reveal that the developed method is easy to implement and avoids the additional computational work. Furthermore, the method is a promising approximate tool to solve this class of nonlinear equations and provides us with a convenient way to control and modify the convergence rate of the solution.

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M. H. Daliri Birjandi. J. Saberi-Nadjafi. A. Ghorbani. "An Efficient Numerical Method for a Class of Nonlinear Volterra Integro-Differential Equations." J. Appl. Math. 2018 1 - 7, 2018. https://doi.org/10.1155/2018/7461058

Information

Received: 6 April 2018; Revised: 8 June 2018; Accepted: 13 June 2018; Published: 2018
First available in Project Euclid: 19 September 2018

zbMATH: 07000939
MathSciNet: MR3842721
Digital Object Identifier: 10.1155/2018/7461058

Rights: Copyright © 2018 Hindawi

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