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An Efficient Numerical Method for a Class of Nonlinear Volterra Integro-Differential Equations.
- Source :
- Journal of Applied Mathematics; 8/1/2018, p1-7, 7p
- Publication Year :
- 2018
-
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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 1110757X
- Database :
- Complementary Index
- Journal :
- Journal of Applied Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 131015076
- Full Text :
- https://doi.org/10.1155/2018/7461058