Journal of Babylon University/Pure and Applied Sciences/ No.(1)/ Vol.(19): 2011

Journal of Babylon University/Pure and Applied Sciences/ No.(1)/ Vol.(19): 2011 Taylor Series Method for Solving Linear Fredholm Integral Equation of Second Kind Using MATLAB Hameed H Hameed H a y d e r M A b b a s Z a h r a a A M o h a m m e d Foundation Of Technical Baghdad University, College Almustansiriya university Education Of Science for women. College Of Science Technical Institute Of Alsuwayra Department Of Mathematics Department Of Astronomy Abstract This paper presents a method to find the approximation solution for linear ferdholm integral b equation : by using Taylor series expansion to approximate the kernel y(x)  f (x)   k(x,t) y(t) a N k(x,t) as a summation of multiplication functions f (x) by g (t) i.e. k(x,t)  f (x)g (t) then use n n  n n n 1 the degenerate kernel idea to solve the fredholm integral equation .In this paper we solve the above integral equation with a  0 and b  1,  is a real number, f(x) and k(x,t) are real continues functions . We have deduced a MATLAB program to solve the above equation, we have used MATLAB (R2008a) to perform this program . The presented method has high accurate when compare its results with the other analytical methods results . 1-Introduction Integral equations, that is, equations involving an unknown function which appear under an integral sign.