Solving Nonlinear Volterra | Fredholm Integro-differential Equations Using the Modified Adomian Decomposition Method

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Abstract: In this paper, a nonlinear Volterra | Fredholm integro-differential equation is solved by using the modified Adomian decomposition method (MADM). The approximate solution of this equation is calculated in the form of a series in which its components are computed easily. The accuracy of the proposed numerical scheme is examined by comparison with other analytical and numerical results. The existence, uniqueness and convergence and an error bound of the proposed method are proved. Some examples are presented to illustrate the efficiency and the performance of the modified decomposition method.

Standort
Deutsche Nationalbibliothek Frankfurt am Main
Umfang
Online-Ressource
Sprache
Englisch

Erschienen in
Solving Nonlinear Volterra | Fredholm Integro-differential Equations Using the Modified Adomian Decomposition Method ; volume:9 ; number:4 ; year:2009 ; pages:321-331
Computational methods in applied mathematics ; 9, Heft 4 (2009), 321-331

Urheber
Araghi, M. A. Fariborzi
Behzadi, Sh. Sadigh

DOI
10.2478/cmam-2009-0020
URN
urn:nbn:de:101:1-2410261641204.303623757130
Rechteinformation
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
Letzte Aktualisierung
15.08.2025, 07:35 MESZ

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Beteiligte

  • Araghi, M. A. Fariborzi
  • Behzadi, Sh. Sadigh

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