On Adomian's Decomposition Method for Solving Differential Equations

Details On Adomian's Decomposition Method for Solving Differential Equations On Adomian's Decomposition Method for Solving Differential Equations

1997-05-14

arxiv.org/abs/solv-int/9705008v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

11 pages, Latex, no figure

Scientific paper

We show that with a few modifications the Adomian's method for solving second
order differential equations can be used to obtain the known results of the
special functions of mathematical physics. The modifications are necessary in
order to take correctly into account the behaviour of the solutions in the
neighborhood of the singular points.

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