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Zbl 1073.65068
Wazwaz, Abdul-Majid
Adomian decomposition method for a reliable treatment of the Bratu-type equations. (English)
[J] Appl. Math. Comput. 166, No. 3, 652-663 (2005). ISSN 0096-3003

Summary: We present a framework to determine exact solutions of Bratu-type equations. The algorithm rests mainly on the Adomian decomposition method. The proposed scheme is illustrated by studying two boundary value problems and an initial value problem of Bratu-type. The first type gives a solution that blows up at the middle of the domain, whereas the other equations give bounded solutions.

MSC 2000:: *65L10 Boundary value problems for ODE (numerical methods)
65L05 Initial value problems for ODE (numerical methods)
34A34 Nonlinear ODE and systems, general

Keywords: numerical examples; Bratu-type equations; algorithm; Adomian decomposition method; boundary value problems; initial value problem

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