An Efficient Numerical Method for a Class of Nonlinear Volterra Integro-Differential Equations. (1st August 2018)

• Record Type: Journal Article
• Authors: Daliri Birjandi, M. H.; Saberi-Nadjafi, J.; Ghorbani, A.
• Other Names: Sezer Mehmet Academic Editor.
• Is Part Of: Journal of applied mathematics. Volume 2018(2018)
• Publication Date: 2018-08-01
• Subjects: Mathematics -- Periodicals; 519.05
• DOI: 10.1155/2018/7461058
• Languages: English
• ISSNs: 1110-757X

Abstract

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.