Solving nonlinear Volterra integro-di erential equation by using Legendre polynomial approximations
Publish Year: 1393
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_IJNAO-4-2_006
تاریخ نمایه سازی: 6 شهریور 1396
Abstract:
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. Finally, some examples are given to compare the results with some of the existing methods.
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Authors
m Gachpazan
Department of Applied Mathematics, Faculty of Mathematical Sciences, Ferdowsi Univer-sity of Mashhad, Mashhad, Iran.
m Erfanian
Department of Applied Mathematics, Faculty of Mathematical Sciences, Ferdowsi Univer-sity of Mashhad, Mashhad, Iran.
h Beiglo
Department of Applied Mathematics, Faculty of Mathematical Sciences, Ferdowsi Univer-sity of Mashhad, Mashhad, Iran.