Title : ( Solving Volterra integral equations of the second kind by wavelet-Galerkin scheme )
Authors: Jafar Saberi- Nadjafi , Mohammad Mehrabinezhad , Hani Akbari ,
Full TextAbstract
In this paper, we apply the wavelet-Galerkin method to obtain approximate solutions to linear Volterra integral equations (VIEs) of the second kind. Daubechies wavelets are used to find such approximations. In this approach, we introduce some new connection coefficients and discuss their properties and propose algorithms to evaluate them. These coefficients can be computed just once and applied for solving every linear VIE of the second kind. Convergence and error analysis are discussed and numerical examples illustrate the efficiency of the method.
Keywords
, Volterra integral equations Wavelet, Galerkin method Daubechies wavelets Connection coefficients Convergence
@article{paperid:1029111,
author = {Saberi- Nadjafi, Jafar and Mehrabinezhad, Mohammad and Akbari, Hani},
title = {Solving Volterra integral equations of the second kind by wavelet-Galerkin scheme},
journal = {Computers and Mathematics with Applications},
year = {2012},
volume = {63},
number = {11},
month = {June},
issn = {0898-1221},
pages = {1536--1547},
numpages = {11},
keywords = {Volterra integral equations
Wavelet-Galerkin method
Daubechies wavelets
Connection coefficients
Convergence},
}
%0 Journal Article
%T Solving Volterra integral equations of the second kind by wavelet-Galerkin scheme
%A Saberi- Nadjafi, Jafar
%A Mehrabinezhad, Mohammad
%A Akbari, Hani
%J Computers and Mathematics with Applications
%@ 0898-1221
%D 2012
