Adomian

Adomian is a term that can refer to several different things, most notably a surname and a mathematical decomposition method.

As a surname, Adomian is of Armenian origin. Notable individuals with this surname include George Adomian, a prominent Iranian-American mathematician, and his son, David Adomian, also a mathematician.

The Adomian decomposition method is a technique for solving nonlinear equations. Developed by George Adomian, it breaks down the nonlinear operator into a sum of linear and nonlinear terms. The solution is then represented as an infinite series, where each term is determined recursively. This method has been applied to a wide range of problems in various fields, including differential equations, integral equations, and dynamical systems. It offers an alternative to traditional numerical and analytical methods, particularly for problems that are difficult to solve otherwise. The method's effectiveness and applicability have been the subject of ongoing research and refinement.