Randolph Rach

TL;DR: This modification also avoids solving a sequence of nonlinear algebraic equations for the undetermined coefficients fraught with multiple roots, which is required to complete calculation of the solution by several prior modified recursion schemes using the Adomian decomposition method.

TL;DR: In this paper, the authors extended Adomian's solutions of nonlinear stochastic differential equations to include polynomial, exponential, and trigonometric nonlinear terms N(y).

TL;DR: In this article, simple symmetry rules are established to yield Adomian's polynomials quickly to high orders for nonlinear stochastic systems with nonlinearity dependent on the non-linearity.

TL;DR: In this article, nonlinear partial differential equations are systematically solved by the decomposition method of G. Adomian for general boundary conditions described by boundary operator equations, and linear or nonlinear ordinary differential equations become special cases all dealt with by a single procedure.