An Approximate Solution for Solving Linear System of Integral Equation With Application on Stiff Problems

An approximale solution ol the linear system of ntegral equations for both Fred holm (SFlFs) and VoHerra (SVIKs) types has been derived using Taylor series expansion . The solution is essentially based on substituting for the unknown function after differentiating both sides of the systemof integral equations. It may further be used to implement the same method uses for stiff problems.It has been shown that for stiff problems 1, Runge-kulta and modified Euler methods may lead to poor results. The proposed method is convenient for computer programming using MATLB language. Finally, by using various examples, the accuracy and the stability of this method will be shown.