Adomian decomposition method
Encyclopedia
The Adomian decomposition method (ADM) is a non-numerical method for solving nonlinear differential equation
s, both ordinary and partial. The general direction of this work is towards a unified theory for partial differential equation
s (PDE). The method was developed by George Adomian
, chair of the Center for Applied Mathematics at the University of Georgia
. This method is a semi-analytical method.
Differential equation
A differential equation is a mathematical equation for an unknown function of one or several variables that relates the values of the function itself and its derivatives of various orders...
s, both ordinary and partial. The general direction of this work is towards a unified theory for partial differential equation
Partial differential equation
In mathematics, partial differential equations are a type of differential equation, i.e., a relation involving an unknown function of several independent variables and their partial derivatives with respect to those variables...
s (PDE). The method was developed by George Adomian
George Adomian
George Adomian was the Armenian-American mathematician who developed the Adomian decomposition method for solving nonlinear differential equations, both ordinary and partial. The method is explained, among other places, in his book "Solving Frontier Problems in Physics: The Decomposition Method"...
, chair of the Center for Applied Mathematics at the University of Georgia
University of Georgia
The University of Georgia is a public research university located in Athens, Georgia, United States. Founded in 1785, it is the oldest and largest of the state's institutions of higher learning and is one of multiple schools to claim the title of the oldest public university in the United States...
. This method is a semi-analytical method.