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The Adomian decomposition method (ADM) is a popular analytical method for solving integral equations. This method was developed by George Adomian and has been widely used to solve various types of integral equations. The ADM involves decomposing the unknown function into a series of components and then solving for each component recursively.

It defines the players: Fredholm (limits are constants) vs. Volterra (limits are variables). Integral Equations Wazwaz Pdf