Restarted Adomian Decomposition Method to Systems of Nonlinear Algebraic Equations

Decomposition method was first introduced by Adomian since the beginning of the 1980’s for solving wide range of problems whose mathematical models yield equation or system of equation involving algebraic, differential, integral and integro-diffrential [1, 2, 3]. This iterative method has been proven to be rather successful in dealing with linear problems as well as nonlinear. Adomian gives the solution as an infinite series usually converging to an accurate solution. Abbaui and Cherruault [4] applied the standard Adomian decomposition on simple iteration method to solve f(x) = 0, where f(x) is a nonlinear function and proved the convergence of its series solution. E.