Title : ( A Numerical Approach for Solving Linear and NonlinearVolterra Integral Equations with Controlled Error )
Authors: Ali Vahidian Kamyad , Mohammad Mehrabinezhad , Jafar Saberi- Nadjafi ,
Full TextAbstract
In this paper we propose a new approach for solving linear and nonlinear Volterra integral equations (LVIE, NVIE) of the first and the second kinds. First, we define a new problem in calculus of variations, which is equivalent to this kind of problem. By taking this approach, one can solve a large number of problems in calculus of variations. We use a discretisation method to obtain a nonlinear programming problem and in some cases a linear programming problem. Then by using the optimal solution of the latest (LP or NLP) problem, we obtain an approximate solution with a controllable error for the original solution.
Keywords
, Volterra integral equations, Discretisation, Nonlinear programming.
@article{paperid:1017039,
author = {Vahidian Kamyad, Ali and Mehrabinezhad, Mohammad and Saberi- Nadjafi, Jafar},
title = {A Numerical Approach for Solving Linear and NonlinearVolterra Integral Equations with Controlled Error},
journal = {IAENG International Journal of Applied Mathematics},
year = {2010},
volume = {40},
number = {2},
month = {May},
issn = {1992-9978},
pages = {1--6},
numpages = {5},
keywords = {Volterra integral equations; Discretisation; Nonlinear programming.},
}
%0 Journal Article
%T A Numerical Approach for Solving Linear and NonlinearVolterra Integral Equations with Controlled Error
%A Vahidian Kamyad, Ali
%A Mehrabinezhad, Mohammad
%A Saberi- Nadjafi, Jafar
%J IAENG International Journal of Applied Mathematics
%@ 1992-9978
%D 2010
