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Matinfar, Mashallah, Abdollahi Lashaki, Hamideh, Akbari, Mozhgan, Ahmed, hany. (1403). Numerical approximation based on Bernouli polynomials for solving second-order hyperbolic telegraph equations. پژوهشنامه مدیریت اجرایی, 13(1), 74-93. doi: 10.22080/cjms.2023.25277.1653
Mashallah Matinfar; Hamideh Abdollahi Lashaki; Mozhgan Akbari; hany Ahmed. "Numerical approximation based on Bernouli polynomials for solving second-order hyperbolic telegraph equations". پژوهشنامه مدیریت اجرایی, 13, 1, 1403, 74-93. doi: 10.22080/cjms.2023.25277.1653
Matinfar, Mashallah, Abdollahi Lashaki, Hamideh, Akbari, Mozhgan, Ahmed, hany. (1403). 'Numerical approximation based on Bernouli polynomials for solving second-order hyperbolic telegraph equations', پژوهشنامه مدیریت اجرایی, 13(1), pp. 74-93. doi: 10.22080/cjms.2023.25277.1653
Matinfar, Mashallah, Abdollahi Lashaki, Hamideh, Akbari, Mozhgan, Ahmed, hany. Numerical approximation based on Bernouli polynomials for solving second-order hyperbolic telegraph equations. پژوهشنامه مدیریت اجرایی, 1403; 13(1): 74-93. doi: 10.22080/cjms.2023.25277.1653

Numerical approximation based on Bernouli polynomials for solving second-order hyperbolic telegraph equations

Caspian Journal of Mathematical Sciences
مقاله 7، دوره 13، شماره 1 - شماره پیاپی 25، 2024، صفحه 74-93    اصل مقاله (636.54 K)
نوع مقاله: Review Article
شناسه دیجیتال (DOI): 10.22080/cjms.2023.25277.1653
نویسندگان
Mashallah Matinfar1؛ Hamideh Abdollahi Lashaki* 2؛ Mozhgan Akbari3؛ hany Ahmed4
1Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran
2science facaulty, Farhangian University, Tehran, Iran
3Department of Mathematics, Faculty of Mathematical Sciences, University of Guilan, Rasht, Iran
4Department of Mathematics, Faculty of Technology and Education, Helwan University, Cairo-Egypt
تاریخ دریافت: 18 فروردین 1402،  تاریخ بازنگری: 10 خرداد 1402،  تاریخ پذیرش: 10 تیر 1402 
چکیده
In this paper, a practical matrix method is presented for solving a particular type of telegraph equations. This procedure is based on Bernouli Polynomials. This matrix method with collocation suited nodes, decreases the supposed equations into system of algebric equations with unknown Bernouli coefficients. The obtained system is solved and approximate solutions are achieved. The well-conditioning of problems is also considered. The indicated method creates the well-onditioned problems. Some numerical problems are comprised to confirm the efficacy and fitting of the suggested method. The presented technique is easy to implement and produces accurate results. The precision of the method is demonstrated by measuring the errors between exact solutions and approximate solutions for each problem.
کلیدواژه‌ها
Hyperbolic telegraph equations؛ Bernouli polynomials؛ Operational matrix, Finite difference
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