Title : ( An Efficient Numerical Method for a Class of Nonlinear Volterra Integro-Differential Equations )
Authors: Hossein Daliri , Jafar Saberi- Nadjafi , Asghar Ghorbani ,Abstract
We investigate an efficient numerical method for solving a class of nonlinear Volterra integro-differential equations, which is a combination of the parametric iterationmethod and the spectral collocation method.The implementation of the modifiedmethod 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.
Keywords
, An Efficient Numerical Methodsm, Nonlinear Volterra Integro-Differential Equations@article{paperid:1069701,
author = {Daliri, Hossein and Saberi- Nadjafi, Jafar and Ghorbani, Asghar},
title = {An Efficient Numerical Method for a Class of Nonlinear Volterra Integro-Differential Equations},
journal = {Journal of Applied Mathematics},
year = {2018},
volume = {2018},
number = {1},
month = {August},
issn = {1110-757x},
pages = {1--7},
numpages = {6},
keywords = {An Efficient Numerical Methodsm; Nonlinear Volterra Integro-Differential Equations},
}
%0 Journal Article
%T An Efficient Numerical Method for a Class of Nonlinear Volterra Integro-Differential Equations
%A Daliri, Hossein
%A Saberi- Nadjafi, Jafar
%A Ghorbani, Asghar
%J Journal of Applied Mathematics
%@ 1110-757x
%D 2018