The modified Adomian decomposition method and the noise terms phenomenon for solving nonlinear weakly-singular Volterra and Fredholm integral equations

摘要

In this paper,we use the systematic modified Adomian decomposition method (ADM) and the phenomenon of he self-canceling "noise" terms for solvlng nonlinear weakly-singular Volterra, Fredholm, and Volterra-Fredholm integral equations. We show that the proposed approach minimizes the computation, when compared with other conventional schemes. Our results are validated by investigating several examples.