Adapted block hybrid method for the numerical solution of Duffing equations and related problems

Problems of non-linear equations to model real-life phenomena have a long history in science and engineering. One of the popular of such non-linear equations is the Duffing equation. An adapted block hybrid numerical integrator that is dependent on a fixed frequency and fixed step length is proposed...

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Bibliographic Details
Published inAIMS mathematics Vol. 6; no. 12; pp. 14013 - 14034
Main Authors Abdulganiy, Ridwanulahi Iyanda, Wen, Shiping, Feng, Yuming, Zhang, Wei, Tang, Ning
Format Journal Article
LanguageEnglish
Published AIMS Press 01.01.2021
Subjects
adapted method
convergence
duffing equation
hybrid
non-linear equation
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Summary:Problems of non-linear equations to model real-life phenomena have a long history in science and engineering. One of the popular of such non-linear equations is the Duffing equation. An adapted block hybrid numerical integrator that is dependent on a fixed frequency and fixed step length is proposed for the integration of Duffing equations. The stability and convergence of the method are demonstrated; its accuracy and efficiency are also established.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2021810