Title of article :
NUMERICAL SOLUTION OF THE SYSTEM OF LINEAR FREDHOLM INTEGRAL EQUATIONS BASED ON DEGENERATING KERNELS
Author/Authors :
KARIMI, S. persian gulf university - Faculty of Sciences - Department of Mathematics, بوشهر, ايران , JOZI, M. persian gulf university - Faculty of Sciences - Department of Mathematics, بوشهر, ايران
Abstract :
In this paper, a new numerical method is proposed for solving system of linear Fredholm integral equations of the second kind. This method is based on Taylor-series expansion which degenerates kernels and reduces the system of integral equations to a block algebraic linear system. Convergence analysis is investigated and test problems are given to illustrate the robustness and efficiency of the new method.
Keywords :
systems of Fredholm integral equations , degenerate kernel , Taylor , series expansion , block algebraic system , Banach space
Journal title :
TWMS Journal of Pure and Applied Mathematics
Journal title :
TWMS Journal of Pure and Applied Mathematics
