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A Hybrid Perturbation-Reproducing Kernel Method for Numerical Solution of Duffing Oscillator | ||
| Computational Methods for Differential Equations | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 10 تیر 1405 اصل مقاله (2.04 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2026.71229.3581 | ||
| نویسندگان | ||
| Farhad Moradi؛ Mojtaba Ranjbar* | ||
| Department of Financial Mathematics, Faculty of Finance Sciences, Kharazmi University, Tehran, Iran. | ||
| چکیده | ||
| This paper introduces a novel semi-analytical technique for solving nonlinear ordinary differential equations with perturbed parameters. The proposed approach combines perturbation methods with reproducing kernel Hilbert space (RKHS) theory. The method transforms nonlinear periodic problems into systems of linear differential equations, which are then solved using RKHS techniques. We establish convergence properties and provide error estimates for the approximate solutions. Several numerical examples of Duffing oscillators demonstrate the effectiveness and accuracy of the proposed algorithm. Numerical results show that the method produces highly accurate approximate solutions, with performance comparable to established numerical techniques such as the fourth-order Runge-Kutta method. | ||
| کلیدواژهها | ||
| Duffing oscillator؛ perturbation method؛ reproducing kernel Hilbert space method؛ error estimate؛ nonlinear oscillations | ||
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آمار تعداد مشاهده مقاله: 4 تعداد دریافت فایل اصل مقاله: 2 |
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