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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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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Abstract 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.
AbstractList 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.
Author Wen, Shiping
Tang, Ning
Abdulganiy, Ridwanulahi Iyanda
Zhang, Wei
Feng, Yuming
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School of Three Gorges Artificial Intelligence, Chongqing Three Gorges University, Wanzhou, Chongqing 404100, China
Australian AI Institute, University of Technology Sydney, Ultimo NSW 2007, Australia
Department of Education, Distance Learning Institute, University of Lagos, Akoka, Nigeria
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Snippet 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...
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SubjectTerms adapted method
convergence
duffing equation
hybrid
non-linear equation
Title Adapted block hybrid method for the numerical solution of Duffing equations and related problems
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