Solving Duffing-Van der Pol Oscillator Equations of Fractional Order by an Accurate Technique
عنوان مقاله: Solving Duffing-Van der Pol Oscillator Equations of Fractional Order by an Accurate Technique
شناسه ملی مقاله: JR_JACM-7-3_018
منتشر شده در در سال 1400
شناسه ملی مقاله: JR_JACM-7-3_018
منتشر شده در در سال 1400
مشخصات نویسندگان مقاله:
Nourhane Attia - Dynamic of Engines and Vibroacoustic Laboratory, University M۰۳۹;hamed Bougara of Boumerdes, Boumerdes, ۳۵۰۰۰, Algeria
Djamila Seba - Dynamic of Engines and Vibroacoustic Laboratory, University M۰۳۹;hamed Bougara of Boumerdes, Boumerdes, ۳۵۰۰۰, Algeria
Ali Akgül - Art and Science Faculty, Department of Mathematics, Siirt University, Siirt, TR-۵۶۱۰۰, Turkey
Abdelkader Nour - Dynamic of Engines and Vibroacoustic Laboratory, University M۰۳۹;hamed Bougara of Boumerdes, Boumerdes, ۳۵۰۰۰, Algeria
خلاصه مقاله:
Nourhane Attia - Dynamic of Engines and Vibroacoustic Laboratory, University M۰۳۹;hamed Bougara of Boumerdes, Boumerdes, ۳۵۰۰۰, Algeria
Djamila Seba - Dynamic of Engines and Vibroacoustic Laboratory, University M۰۳۹;hamed Bougara of Boumerdes, Boumerdes, ۳۵۰۰۰, Algeria
Ali Akgül - Art and Science Faculty, Department of Mathematics, Siirt University, Siirt, TR-۵۶۱۰۰, Turkey
Abdelkader Nour - Dynamic of Engines and Vibroacoustic Laboratory, University M۰۳۹;hamed Bougara of Boumerdes, Boumerdes, ۳۵۰۰۰, Algeria
In this paper, an accurate technique is used to find an approximate solution to the fractional-order Duffing-Van der Pol (DVP, for short) oscillators equation which is reproducing kernel Hilbert space (RKHS, for short ) method. The numerical results show that the n-term approximation is a rapidly convergent series representation and they present also the high accuracy and effectiveness of this method. The efficiency of the proposed method has been proved by the theoretical predictions and confirmed by the numerical experiments.
کلمات کلیدی: Duffing-Van der Pol oscillator Equations of Fractional Order, Method of Reproducing Kernel Hilbert Space, Caputo derivative, Convergence, Numerical Solutions
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1249739/