Solving Duffing Type Differential Equations using a Three-Point Block Variable Order Step Size Method

This research proposes a three-point block method for solving Duffing type higher order ordinary differential equations (ODEs) which is also commonly referred as the Duffing oscillator. The research conducted implements a variable order step size technique for approximating the exact solution for th...

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Bibliographic Details
Published inJournal of physics. Conference series Vol. 1366; no. 1; pp. 12024 - 12030
Main Authors Nurullah Rasedee, Ahmad Fadly, Abdul Sathar, Mohammad Hasan, Asbullah, Muhammad Asyraf, Feng, Koo Lee, Jin, Wong Tze, Ishak, Norizarina, Hamzah, Siti Raihana
Format Journal Article
LanguageEnglish
Published Bristol IOP Publishing 01.11.2019
Subjects
Algorithms
Approximation
Differential equations
Duffing oscillators
Exact solutions
Mathematical analysis
Ordinary differential equations
Physics
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Summary:This research proposes a three-point block method for solving Duffing type higher order ordinary differential equations (ODEs) which is also commonly referred as the Duffing oscillator. The research conducted implements a variable order step size technique for approximating the exact solution for the Duffing Oscillator. The proposed algorithm will be tested against various Duffing oscillators and numerical approximation will be compared with current viable methods. The accuracy and efficiency of the proposed method will be illustrated in the numerical results.
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/1366/1/012024