Pell-Lucas polynomials for numerical treatment of the nonlinear fractional-order Duffing equation

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Abstract: The nonlinear fractional-order cubic-quintic-heptic Duffing problem will be solved through a new numerical approximation technique. The suggested method is based on the Pell-Lucas polynomials’ operational matrix in the fractional and integer orders. The studied problem will be transformed into a nonlinear system of algebraic equations. The numerical expansion containing unknown coefficients will be obtained numerically via applying Newton’s iteration method to the claimed system. Convergence analysis and error estimates for the introduced process will be discussed. Numerical applications will be given to illustrate the applicability and accuracy of the proposed method.

Location: Deutsche Nationalbibliothek Frankfurt am Main

Extent: Online-Ressource

Language: Englisch

Bibliographic citation: Pell-Lucas polynomials for numerical treatment of the nonlinear fractional-order Duffing equation ; volume:56 ; number:1 ; year:2023 ; extent:17
Demonstratio mathematica ; 56, Heft 1 (2023) (gesamt 17)

Creator: El-Sayed, Adel Abd Elaziz

DOI: 10.1515/dema-2022-0220

URN: urn:nbn:de:101:1-2023062214112830527655

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

Last update: 14.08.2025, 10:49 AM CEST

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El-Sayed, Adel Abd Elaziz

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Pell-Lucas polynomials for numerical treatment of the nonlinear fractional-order Duffing equation

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Other Objects (12)

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