A new method for solving singular initial value problems in the second-order ordinary differential equations. (English) Zbl 1030.34004

Wazwaz, Abdul-Majid

Appl. Math. Comput. 128, No. 1, 45-57 (2002).

Summary: Singular initial value problems, linear and nonlinear, homogeneous and nonhomogeneous, are investigated by using the Adomian decomposition method. The solutions are constructed in the form of a convergent series. A new general formula is established. The approach is illustrated with few examples.

MSC:

34A12	Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations
34A45	Theoretical approximation of solutions to ordinary differential equations

Keywords:

singular initial value problems; solutions

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