An Efficient Numerical Method for a Class of Nonlinear Volterra Integro-Differential Equations

M. H. Daliri Birjandi, J. Saberi-Nadjafi and A. Ghorbani

Journal of Applied Mathematics, 2018, vol. 2018, 1-7

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.

Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:7461058

DOI: 10.1155/2018/7461058

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