Iterative Multistep Reproducing Kernel Hilbert Space Method for Solving Strongly Nonlinear Oscillators
Joint Authors
Maayah, Banan
Abu Arqub, Omar
Momani, Shaher M.
Bushnaq, Samia
Source
Advances in Mathematical Physics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-06-17
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
A new algorithm called multistep reproducing kernel Hilbert space method is represented to solve nonlinear oscillator’s models.
The proposed scheme is a modification of the reproducing kernel Hilbert space method, which will increase the intervals of convergence for the series solution.
The numerical results demonstrate the validity and the applicability of the new technique.
A very good agreement was found between the results obtained using the presented algorithm and the Runge-Kutta method, which shows that the multistep reproducing kernel Hilbert space method is very efficient and convenient for solving nonlinear oscillator’s models.
American Psychological Association (APA)
Maayah, Banan& Bushnaq, Samia& Momani, Shaher M.& Abu Arqub, Omar. 2014. Iterative Multistep Reproducing Kernel Hilbert Space Method for Solving Strongly Nonlinear Oscillators. Advances in Mathematical Physics،Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-496408
Modern Language Association (MLA)
Maayah, Banan…[et al.]. Iterative Multistep Reproducing Kernel Hilbert Space Method for Solving Strongly Nonlinear Oscillators. Advances in Mathematical Physics No. 2014 (2014), pp.1-7.
https://search.emarefa.net/detail/BIM-496408
American Medical Association (AMA)
Maayah, Banan& Bushnaq, Samia& Momani, Shaher M.& Abu Arqub, Omar. Iterative Multistep Reproducing Kernel Hilbert Space Method for Solving Strongly Nonlinear Oscillators. Advances in Mathematical Physics. 2014. Vol. 2014, no. 2014, pp.1-7.
https://search.emarefa.net/detail/BIM-496408
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-496408