Solving nonlinear Volterra integro-differential equation by using Legendre polynomial approximations
In this paper, we construct a new iterative method for solving nonlinear Volterra Integral Equation of second kind, by approximating the Legendre polynomial basis. Error analysis is worked using Banach fixed point theorem. We compute the approximate solution without using numerical method....
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Ferdowsi University of Mashhad
2014-11-01
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| Series: | Iranian Journal of Numerical Analysis and Optimization |
| Subjects: | |
| Online Access: | https://ijnao.um.ac.ir/article_24436_27298a4022482a838049e405114504fa.pdf |