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Computational simulations for solving nonlinear composite oscillation fractional

Gamal M. Ismail, A. M. S. Mahdy, Y. A. Amer, E. S. M. Youssef

2022Journal of Ocean Engineering and Science14 citationsDOIOpen Access PDF

Abstract

In this document, we are keen on showing the rough scientific answers for fragmentary differential conditions by utilizing the Vieta-Lucas polynomial procedure. The fractional derivatives have represented in the Caputo sense. The implementation identified with the Vieta-Lucas strategy has been produced for differential conditions to the degree of admittance to estimated scientific arrangements of frameworks of partial differential conditions. The arrangements of our model conditions are determined as concurrent series with effectively process-able segments. A few models are tackled as representations, utilizing emblematic calculation. The mathematical outcomes show that the methodology is not difficult to carry out and exact with implementation to frameworks of fragmentary differential conditions. The strategy presented a hopeful device for addressing numerous direct and nonlinear partial differential conditions.

Topics & Concepts

Nonlinear systemDifferential (mechanical device)MathematicsDifferential equationPartial differential equationApplied mathematicsDegree (music)Series (stratigraphy)Oscillation (cell signaling)Computer sciencePolynomialProcess (computing)Mathematical analysisPhysicsThermodynamicsBiologyQuantum mechanicsOperating systemAcousticsGeneticsPaleontologyFractional Differential Equations SolutionsIterative Methods for Nonlinear Equations