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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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