Application of the decomposition method to the solution of integral equation with Cauchy Kernel

Abstract

Adomian decomposition has been applied to a variety of integral equations
with resounding success. Recently Wazwaz applied it to weakly singular second-kind Volterra-type of integral equation. It is the measure of success of the above that has inspired this work. It is our contention that applying the decomposition method to integral equation with Cauchy Kernel will lead to successful result. Indeed as demonstrated in the application below it leads to result with desired accuracy.