Title : ( Solving mixed Fredholm–Volterra integral equations by using the operational matrix of RH wavelets )
Authors: majid erfanian , Mortaza Gachpazan ,
دانلود فایل برای اعضای دانشگاهAccess to full-text not allowed by authors
Abstract
In this article, we present a method for numerical approximation of fixed point operator, particularly for the integral one associated to a nonlinear mixed Fredholm–Volterra integral equation, which uses the properties of rationalized Haar wavelets. The main tools for error analysis is Banach fixed point theorem. Furthermore, the order of convergence is analyzed. The algorithm to compute the solutions and some numerical examples are included to support the theory.
Keywords
Nonlinear Fredholm; Volterra integral equation; Rationalized Haar wavelet; Operational matrix; Fixed point theorem; Error analysis.
@article{paperid:1050504,
author = {Erfanian, Majid and Gachpazan, Mortaza},
title = {Solving mixed Fredholm–Volterra integral equations by using the operational matrix of RH wavelets},
journal = {Boletin de la Sociedad Espanola de Matematica Aplicada},
year = {2015},
volume = {2015},
number = {69},
month = {May},
issn = {2254-3902},
pages = {25--36},
numpages = {11},
keywords = {Nonlinear Fredholm; Volterra integral equation; Rationalized Haar wavelet; Operational matrix; Fixed point theorem; Error analysis.},
}
%0 Journal Article
%T Solving mixed Fredholm–Volterra integral equations by using the operational matrix of RH wavelets
%A Erfanian, Majid
%A Gachpazan, Mortaza
%J Boletin de la Sociedad Espanola de Matematica Aplicada
%@ 2254-3902
%D 2015
