Abstract: An iterative method to
solve the general nonlinear functional equation has been given. The method is based
on Banach contraction principle. Various nonlinear functional equations
including partial differential equations (PDE), ordinary differential equations
(ODE), system of ODEs/PDEs and algebraic equations are solved to demonstrate the
power of the method.
Keywords and phrases: nonlinear functional equations, successive approximation method, a new iterative method, Adomian decomposition method.
