I am pleased to submit my comprehensive worldwide bibliography on the Adomian
decomposition method:“A bibliography of the theory and applications of the Adomian …

The paper deals with an application of Adomian Decomposition Method for solving linear
stochastic differential equations. We derive new formulas such as the analytical approximate …

In this paper, we prove that the accelerated Adomian polynomials formula suggested by
Adomian (Nonlinear Stochastic Systems: Theory and Applications to Physics, Kluwer …

In this paper, a new technique for solving a class of quadratic integral and integro-differential
equations is introduced. The main advantage of this technique is that it can replace the …

Technique of orthogonal collocation along with finite elements has been presented to solve
the linear and non linear heat conduction problems numerically. Choice of Lagrangian …

In this paper, a new technique for solving a class of nonlinear Boundary Value Problems
(BVPs) is introduced. Convergence of the series solution obtained from the proposed …

In this paper, the Adomian decomposition method (ADM) and Picard technique are used to
solve a class of nonlinear multidimensional fractional differential equations with Caputo …

In this paper, the well known Adomian decomposition method is modified to solve the one-
dimensional stochastic differential equations as an infinite series. The uniqueness of …

In this paper, a new technique for solving a class of Nonlinear Initial-Boundary Value
Problems (NIBVPs) is introduced. The main advantage of this technique is that it utilizes both …

In this paper, we apply an accelerated version of the Adomian decomposition method for
solving a class of nonlinear partial differential equations. This version is a smart recursive …