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Zbl 1030.34004
Wazwaz, Abdul-Majid
A new method for solving singular initial value problems in the second-order ordinary differential equations. (English)
[J] Appl. Math. Comput. 128, No.1, 45-57 (2002). ISSN 0096-3003

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 2000:
*34A12 Initial value problems for ODE
34A45 Theoretical approximation of solutions of ODE

Keywords: singular initial value problems; solutions

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