Solving nonlinear Volterra integro-differential equation by using Legendre polynomial approximations | ||
| Iranian Journal of Numerical Analysis and Optimization | ||
| مقاله 4، دوره 4، شماره 2 - شماره پیاپی 6، 2014، صفحه 73-83 اصل مقاله (222.83 K) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22067/ijnao.v4i2.34304 | ||
| نویسندگان | ||
| M. Gachpazan* ؛ M. Erfanian؛ H. Beiglo | ||
| Department of Applied Mathematics, Faculty of Mathematical Sciences, Ferdowsi University of Mashhad, Mashhad, Iran. | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| Nonlinear Volterra integro-differential equation؛ Legendre poly-nomial؛ Error analysis | ||
| مراجع | ||
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