A numerical-analytic method for solving the Cauchy problem for ordinary differential equations
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.
- Standort
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Deutsche Nationalbibliothek Frankfurt am Main
- Umfang
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Online-Ressource
- Sprache
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Englisch
- Erschienen in
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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
- Urheber
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Makarov, Volodymyr
Dragunov, Denys
- DOI
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10.2478/cmam-2011-0027
- URN
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urn:nbn:de:101:1-2410261638320.830095035810
- Rechteinformation
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Letzte Aktualisierung
- 15.08.2025, 07:33 MESZ
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Beteiligte
- Makarov, Volodymyr
- Dragunov, Denys
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