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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 | ||
| تاریخ دریافت: 19 بهمن 1399، تاریخ پذیرش: 29 تیر 1400 | ||
| 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 | ||
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