Numerical Treatment of First Kind Fredholm Integro_Differential Equations Via Spline Functions

Abstract

In this paper some algorithms of numerical treatment for Fred holm integro-differential equations [FIDE_S] of the first kind three types of Spline functions: Linear, Quadratic and Cubic are introduced. The values of the involved integrals in each algorithm are evaluated numerically using trapezoidal rule.  The program for each method is written in Matlab (V.6)  language. A comparison amonge the three types has been done depending on the last squares errors and running time.