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A new approach for solution of telegraph equation | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 29، دوره 12، شماره 1، مرداد 2021، صفحه 385-396 اصل مقاله (1.26 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2021.4811 | ||
| نویسندگان | ||
| Mohammad Zarebnia* 1؛ Reza Parvaz2 | ||
| 1Department of Mathematics, University of Mohaghegh Ardabili, 56199-11367 Ardabil, Iran | ||
| 2Department of Mathematics, University of Mohaghegh Ardabili, 56199-11367 Ardabil, Iran | ||
| تاریخ دریافت: 07 شهریور 1396، تاریخ بازنگری: 13 آبان 1398، تاریخ پذیرش: 31 تیر 1399 | ||
| چکیده | ||
| In this paper, B-spline collocation method is developed for the solution of one-dimensional hyperbolic telegraph equation. The convergence of the method is proved. Also the method is applied on some test examples and the numerical results have been compared with the analytical solutions. The $L_\infty$,$L_2$ and Root-Mean-Square errors (RMS) in the solutions show the efficiency of the method computationally. | ||
| کلیدواژه‌ها | ||
| Telegraph equation؛ Collocation method؛ Convergence | ||
| مراجع | ||
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