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.
Hussain, B., Afroz, A. & Abdullah, A. (2023). Haar wavelet based numerical method for solving proportional delay variant of Dirichlet boundary value problems. International Journal of Nonlinear Analysis and Applications, 14(1), 287–298. https://doi.org/10.22075/ijnaa.2022.23737.2592
MLA
Hussain, B., Afroz, A., & Abdullah, A. "Haar wavelet based numerical method for solving proportional delay variant of Dirichlet boundary value problems", International Journal of Nonlinear Analysis and Applications, 14, 1, 2023, 287–298. doi: 10.22075/ijnaa.2022.23737.2592
HARVARD
Hussain, B., Afroz, A., & Abdullah, A. (2023). 'Haar wavelet based numerical method for solving proportional delay variant of Dirichlet boundary value problems', International Journal of Nonlinear Analysis and Applications, 14(1), pp. 287–298. doi: 10.22075/ijnaa.2022.23737.2592
CHICAGO
Hussain, B., Afroz, A. & Abdullah, A., "Haar wavelet based numerical method for solving proportional delay variant of Dirichlet boundary value problems." International Journal of Nonlinear Analysis and Applications, 14 1 (2023): 287–298, doi: 10.22075/ijnaa.2022.23737.2592
VANCOUVER
Hussain B., Afroz A., Abdullah A. Haar wavelet based numerical method for solving proportional delay variant of Dirichlet boundary value problems. IJNAA. 2023;14(1):287–298. doi: 10.22075/ijnaa.2022.23737.2592
International Journal of Nonlinear Analysis and Applications