Numerical solution for solving inverse telegraph equation by extended cubic B-spline

	Numerical solution for solving inverse telegraph equation by extended cubic B-spline
International Journal of Nonlinear Analysis and Applications
مقاله 23، دوره 14، شماره 6، شهریور 2023، صفحه 291-302 اصل مقاله (624.13 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.22610.2391
نویسندگان
Reza Pourgholi^* ؛ Fateme Torabi
School of Mathematics and Computer Science, Damghan University, P. O. Box 36715-364, Damghan, Iran
چکیده
In this paper, we consider a numerical method based on extended cubic B-spline basis functions for the determination of an unknown boundary condition in the inverse second-order one-dimensional hyperbolic telegraph equation. Extended cubic B-spline (ExCuBs) is an extension of cubic B-spline consisting of a parameter, we combined it with the Tikhonov regularization method to obtain a numerically stable solution. The convergence and stability of the technique are proved and shown that it is established under suitable assumptions and accurate order $O(k+h^2)$. The numerical results have been compared with those obtained by the cubic B-spline method to verify the accurate nature of our method.
کلیدواژه‌ها
Extended Cubic B-spline Collocation Method؛ Stability؛ Convergence Analysis؛ Telegraph Equation
مراجع

آمار تعداد مشاهده مقاله: 17,064 تعداد دریافت فایل اصل مقاله: 10,801

پیوندهای مفید

آمار