Iterative Multistep Reproducing Kernel Hilbert Space Method for Solving Strongly Nonlinear Oscillators
Keyword(s):
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.
2015 ◽
Vol 20
(6)
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pp. 754-767
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2021 ◽
Vol 7
(4)
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2014 ◽
Vol 38
(1)
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pp. 271-287
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2014 ◽
Vol 2014
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pp. 1-7
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2009 ◽
Vol 215
(6)
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pp. 2095-2102
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2019 ◽
Vol 13
(1)
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pp. 661-669
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Keyword(s):
2013 ◽
Vol 14
(1)
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pp. 19-27
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Keyword(s):
2010 ◽
Vol 87
(9)
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pp. 2024-2031
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