Title : ( Solving linear two-dimensional Fredholm integral equations system by triangular functions )
Authors: Elias Hengamian Asl , Jafar Saberi- Nadjafi ,
Full TextAbstract
In this paper, we intend to offer a numerical method to solve linear two-dimensional Fredholm integral equations system of the second kind. This method converts the given two-dimensional Fredholm integral equations system into a linear system of algebraic equations by using two-dimensional triangular functions. Moreover, we prove the convergence of the method. Finally the proposed method is illustrated by two examples and also results are compared with the exact solution by using computer simulations.
Keywords
, Two, dimensional Fredholm integral equations system of the second kind (2D, FIES, 2); Two m, sets of one, dimensional triangular functions (1D, TFs); Two, dimensional triangular functions (2D, TFs)
@article{paperid:1059001,
author = {Hengamian Asl, Elias and Saberi- Nadjafi, Jafar},
title = {Solving linear two-dimensional Fredholm integral equations system by triangular functions},
journal = {International Journal of Applied Mathematical Research},
year = {2016},
volume = {5},
number = {4},
month = {October},
issn = {2227-4324},
pages = {187--191},
numpages = {4},
keywords = {Two-dimensional Fredholm integral equations system of the second kind (2D-FIES-2); Two m-sets of one-dimensional triangular functions (1D-TFs); Two-dimensional triangular functions (2D-TFs)},
}
%0 Journal Article
%T Solving linear two-dimensional Fredholm integral equations system by triangular functions
%A Hengamian Asl, Elias
%A Saberi- Nadjafi, Jafar
%J International Journal of Applied Mathematical Research
%@ 2227-4324
%D 2016
