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Solving time delay two-point boundary value problems with shooting continuous Runge-Kutta methods | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقالات آماده انتشار، اصلاح شده برای چاپ، انتشار آنلاین از تاریخ 24 تیر 1405 اصل مقاله (567.75 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2024.34368.5133 | ||
| نویسنده | ||
| Tahereh Jabbari Khanbehbin* | ||
| Department of Mathematics and Statistics, Faculty of Basic Sciences, Gonbad Kavous University, Gonbad Kavous, Iran | ||
| تاریخ دریافت: 18 فروردین 1403، تاریخ پذیرش: 26 خرداد 1403 | ||
| چکیده | ||
| This paper presents an efficient method for solving time delay two-point boundary value problems. A combination of the Continuous Runge-Kutta method and the Newton shooting method has been used for solving this problem. The efficiency, high accuracy and the rate of convergence of the proposed method are illustrated by an example. | ||
| کلیدواژهها | ||
| time delay two-point boundary value problems؛ continuous Runge-Kutta methods؛ shooting methods | ||
| مراجع | ||
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[1] Ch. Baker and Ch. Paul, Parallel continuous Runge-Kutta methods and vanishing lag delay differential equations, Adv. Comput. Math. 1 (1993), no. 3, 367-394. [2] C. Baker, C. Paul, and D. Wille, A bibliography on the numerical solution of delay differential equations, Technical Report 269, University of Manchester, 1995. [3] M. Behroozifar and S.A. Yousefi, Numerical solution of delay differential equations via operational matrices of hybrid of block‑pulse functions and Bernstein polynomials, Comput. Meth. Differ. Equ. 1 (2013), no. 2, 78-95. [4] A. Bellen and M. Zennaro, Numerical Methods for Delay Differential Equations, Oxford University Press, 2013. [5] M. Zennaro, Natural continuous extensions of Runge‑Kutta methods, Math. Comput. 46 (1986), no. 173, 119-133. [6] A. El‑Safty, M.S. Salim, and M.A. El‑Khatib, Convergence of the spline function for delay dynamic system, Int. J. Comput. Math. 80 (2003), no. 4, 509-518. [7] D.J. Evans and K.R. Raslan, The Adomian decomposition method for solving delay differential equation, Int. J. Comput. Math. 82 (2005), no. 1, 49-54. [8] E. Fridman, Introduction to Time‑Delay Systems: Analysis and Control, Springer, 2014. | ||
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آمار تعداد مشاهده مقاله: 4 تعداد دریافت فایل اصل مقاله: 2 |
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