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Heydary, Sahba, Aminataei, Azim. (1401). Numerical solution of Drinfel’d–Sokolov system with the Haar wavelets method. سامانه مدیریت نشریات علمی, 10(4), 1086-1096. doi: 10.22034/cmde.2022.47018.1972
Sahba Heydary; Azim Aminataei. "Numerical solution of Drinfel’d–Sokolov system with the Haar wavelets method". سامانه مدیریت نشریات علمی, 10, 4, 1401, 1086-1096. doi: 10.22034/cmde.2022.47018.1972
Heydary, Sahba, Aminataei, Azim. (1401). 'Numerical solution of Drinfel’d–Sokolov system with the Haar wavelets method', سامانه مدیریت نشریات علمی, 10(4), pp. 1086-1096. doi: 10.22034/cmde.2022.47018.1972
Heydary, Sahba, Aminataei, Azim. Numerical solution of Drinfel’d–Sokolov system with the Haar wavelets method. سامانه مدیریت نشریات علمی, 1401; 10(4): 1086-1096. doi: 10.22034/cmde.2022.47018.1972

Numerical solution of Drinfel’d–Sokolov system with the Haar wavelets method

Computational Methods for Differential Equations
مقاله 17، دوره 10، شماره 4، دی 2022، صفحه 1086-1096    اصل مقاله (721.98 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22034/cmde.2022.47018.1972
نویسندگان
Sahba Heydary؛ Azim Aminataei*
Faculty of Mathematics, K. N. Toosi University of Technology, P. O. Box: 16765–3381, Tehran, Iran.
چکیده
In this article, we use the Haar wavelets (HWs) method to numerically solve the nonlinear Drinfel’d–Sokolov (DS) system. For this purpose, we use an approximation of functions with the help of HWs, and we approximate spatial derivatives using this method. In this regard, to linearize the nonlinear terms of the equations, we use the quasilinearization technique. At the end, to show the effectiveness and accuracy of the method in solving this system one numerical example is provided. 
کلیدواژه‌ها
Drinfel’d–Sokolov system؛ Numerical solution؛ Haar wavelets method؛ Quasilinearization technique
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