Some Numerical Methods to Solve a System of Fredholm Integral Equations of the 2nd Kind with Symmetric Kernel

Abstract

In this paper the modification in successive approximation method is defined to solve a system of linear fredholm integral equations(SLFIE) of the 2nd kind with symmetric kernel, also applied Aitken method depending on successive approximation method to the solve SLFIE of the 2nd kind and the algorithm for the methods are suggested, efficiency of the methods is clear through solving some numerical examples, the results in tables (1,2,3 and 4) indicate the accuracy of the approachs.

Keywords

• numerical
• methods
• solve
• system
• fredholm
• integral
• equations
• nd kind
• symmetric
• kernel