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Mohammad, Anber Abraheem Shlash, Mohammad, Suleiman Ibrahim, Vasudevan, Asokan, Alshurideh, Muhammad Turki, Nan, Ding. (1403). ON THE NUMERICAL SOLUTION OF BAGLEY-TORVIK EQUATION USING THE M ¨UNTZ-LEGENDRE WAVELET COLLOCATION METHOD. سامانه مدیریت نشریات علمی, (), -. doi: 10.22034/cmde.2025.65631.3029
Anber Abraheem Shlash Mohammad; Suleiman Ibrahim Mohammad; Asokan Vasudevan; Muhammad Turki Alshurideh; Ding Nan. "ON THE NUMERICAL SOLUTION OF BAGLEY-TORVIK EQUATION USING THE M ¨UNTZ-LEGENDRE WAVELET COLLOCATION METHOD". سامانه مدیریت نشریات علمی, , , 1403, -. doi: 10.22034/cmde.2025.65631.3029
Mohammad, Anber Abraheem Shlash, Mohammad, Suleiman Ibrahim, Vasudevan, Asokan, Alshurideh, Muhammad Turki, Nan, Ding. (1403). 'ON THE NUMERICAL SOLUTION OF BAGLEY-TORVIK EQUATION USING THE M ¨UNTZ-LEGENDRE WAVELET COLLOCATION METHOD', سامانه مدیریت نشریات علمی, (), pp. -. doi: 10.22034/cmde.2025.65631.3029
Mohammad, Anber Abraheem Shlash, Mohammad, Suleiman Ibrahim, Vasudevan, Asokan, Alshurideh, Muhammad Turki, Nan, Ding. ON THE NUMERICAL SOLUTION OF BAGLEY-TORVIK EQUATION USING THE M ¨UNTZ-LEGENDRE WAVELET COLLOCATION METHOD. سامانه مدیریت نشریات علمی, 1403; (): -. doi: 10.22034/cmde.2025.65631.3029

ON THE NUMERICAL SOLUTION OF BAGLEY-TORVIK EQUATION USING THE M ¨UNTZ-LEGENDRE WAVELET COLLOCATION METHOD

Computational Methods for Differential Equations
مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 11 اسفند 1403    اصل مقاله (1.18 M)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2025.65631.3029
نویسندگان
Anber Abraheem Shlash Mohammad1؛ Suleiman Ibrahim Mohammad* 2؛ Asokan Vasudevan3؛ Muhammad Turki Alshurideh4؛ Ding Nan5
1Digital Marketing Department, Faculty of Administrative and Financial Sciences, Petra University, Jordan.
21. Electronic Marketing and Social Media, Economic and Administrative Sciences Zarqa University, Jordan. 2. Research follower, INTI International University, 71800 Negeri Sembilan, Malaysia.
3Faculty of Business and Communications, INTI International University, 71800 Negeri Sembilan, Malaysia.
4Department of Marketing, School of Business, The University of Jordan, Amman, Jordan.
5Faculty of Liberal Arts, Shinawatra University, Thailand.
چکیده
Solving the Bagley–Torvik (BT) equation using an effective scheme and finding its numerical solution are the main goals of this work. The scheme benefits the collocation method based on the M¨untz Legendre wavelets (ML). To apply the method, after approximating the unknown solution by mapping it in the wavelet space, we replace it in the desired equation and then obtain the residual using the operational matrices of the derivative and Caputo fractional derivative (CFD). Applying the collocation method results in a linear algebraic system. To implement the collocation method, either Chebyshev or Legendre roots are used as collocation points or uniformly spaced grids are selected. The error analysis is investigated, and some numerical examples are presented to show the accuracy and effectiveness of the scheme. Thanks to the flexibility of M¨untz-Legendre wavelets, and the method’s structure, we can even obtain the exact solution in some cases
کلیدواژه‌ها
Solving the Bagley؛ Legendre wavelets؛ Applying the collocation method
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