A numerical-analytic method for solving the Cauchy problem for ordinary differential equations

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Abstract: A functional-discrete method for solving the Cauchy problem for first-order ordinary differential equations (ODEs) is proposed. Generally speaking, this method (FD-method) is similar to the Adomian Decomposition Method (ADM). However, we have shown that for some problems the FD-method is convergent whereas the ADM is divergent. The results presented in this paper can easily be generalized to the case of systems of ODEs.

Location: Deutsche Nationalbibliothek Frankfurt am Main

Extent: Online-Ressource

Language: Englisch

Bibliographic citation: A numerical-analytic method for solving the Cauchy problem for ordinary differential equations ; volume:11 ; number:4 ; year:2011 ; pages:491-509
Computational methods in applied mathematics ; 11, Heft 4 (2011), 491-509

Creator: Makarov, Volodymyr
Dragunov, Denys

DOI: 10.2478/cmam-2011-0027

URN: urn:nbn:de:101:1-2410261638320.830095035810

Rights: Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.

Last update: 15.08.2025, 7:33 AM CEST

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Makarov, Volodymyr
Dragunov, Denys

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A numerical-analytic method for solving the Cauchy problem for ordinary differential equations

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Other Objects (12)

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