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Hussain, Basharat, Afroz, Ahmad, Abdullah, Abdullah. (1401). Haar wavelet based numerical method for solving proportional delay variant of Dirichlet boundary value problems. نشریه هنرهای کاربردی, 14(1), 287-298. doi: 10.22075/ijnaa.2022.23737.2592
Basharat Hussain; Ahmad Afroz; Abdullah Abdullah. "Haar wavelet based numerical method for solving proportional delay variant of Dirichlet boundary value problems". نشریه هنرهای کاربردی, 14, 1, 1401, 287-298. doi: 10.22075/ijnaa.2022.23737.2592
Hussain, Basharat, Afroz, Ahmad, Abdullah, Abdullah. (1401). 'Haar wavelet based numerical method for solving proportional delay variant of Dirichlet boundary value problems', نشریه هنرهای کاربردی, 14(1), pp. 287-298. doi: 10.22075/ijnaa.2022.23737.2592
Hussain, Basharat, Afroz, Ahmad, Abdullah, Abdullah. Haar wavelet based numerical method for solving proportional delay variant of Dirichlet boundary value problems. نشریه هنرهای کاربردی, 1401; 14(1): 287-298. doi: 10.22075/ijnaa.2022.23737.2592

Haar wavelet based numerical method for solving proportional delay variant of Dirichlet boundary value problems

International Journal of Nonlinear Analysis and Applications
مقاله 24، دوره 14، شماره 1، فروردین 2023، صفحه 287-298    اصل مقاله (491.08 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.23737.2592
نویسندگان
Basharat Hussain1؛ Ahmad Afroz1؛ Abdullah Abdullah* 2
1Department of Mathematics, MANUU, Hyderabad, India
2Department of Mathematics, Zakir Hussain Delhi College, University of Delhi, India
تاریخ دریافت: 01 تیر 1400،  تاریخ بازنگری: 22 تیر 1401،  تاریخ پذیرش: 26 تیر 1401 
چکیده
In this paper, We studied an application of the Haar wavelet basis in solving a particular class of delay differential equations. We have extended the Haar wavelet series(HWS) method to develop a numerical technique to solve linear and nonlinear Dirichlet boundary value problems of proportional delay nature. Some problems are presented to test the efficiency of the proposed technique, where a remarkable agreement between approximate and analytic solutions is obtained. The numerical simulation indicates that error drops with the increase in the level of resolution. Also, it is observed that the rate of convergence tends to be 2.
کلیدواژه‌ها
Delay differential equation؛ Dirichlet boundary Condition؛ Haar wavelet
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