Rational approximation for solving Fredholm integro-differential equations by new algorithm

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Abstract: In this article, we used a novel semi-analytical approach, named the optimal auxiliary function method (OAFM), to solve integro-differential equations (IDEs). The OAFM includes an auxiliary function and convergence control parameters, which expedite the convergence of the method. To apply the proposed method, some assumptions regarding small or large parameters in the problem are necessary. We present numerical outcomes acquired via the OAFM alongside those obtained from other numerical techniques in tables. Furthermore, we demonstrate the efficacy and ease of implementing the proposed method for various IDEs using 2D graphs.

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

Erschienen in
Rational approximation for solving Fredholm integro-differential equations by new algorithm ; volume:21 ; number:1 ; year:2023 ; extent:7
Open physics ; 21, Heft 1 (2023) (gesamt 7)

Urheber
Nawaz, Rashid
Sumera
Zada, Laiq
Ayaz, Muhammad
Ahmad, Hijaz
Awwad, Fuad A.
Ismail, Emad A. A.

DOI
10.1515/phys-2022-0181
URN
urn:nbn:de:101:1-2023102014092764293145
Rechteinformation
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
Letzte Aktualisierung
14.08.2025, 11:01 MESZ

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Beteiligte

  • Nawaz, Rashid
  • Sumera
  • Zada, Laiq
  • Ayaz, Muhammad
  • Ahmad, Hijaz
  • Awwad, Fuad A.
  • Ismail, Emad A. A.

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