Numerical solution of Drinfel’d–Sokolov system with the Haar wavelets method
عنوان مقاله: Numerical solution of Drinfel’d–Sokolov system with the Haar wavelets method
شناسه ملی مقاله: JR_CMDE-10-4_017
منتشر شده در در سال 1401
شناسه ملی مقاله: JR_CMDE-10-4_017
منتشر شده در در سال 1401
مشخصات نویسندگان مقاله:
Sahba Heydary - Faculty of Mathematics, K. N. Toosi University of Technology, P. O. Box: ۱۶۷۶۵–۳۳۸۱, Tehran, Iran.
Azim Aminataei - Faculty of Mathematics, K. N. Toosi University of Technology, P. O. Box: ۱۶۷۶۵–۳۳۸۱, Tehran, Iran.
خلاصه مقاله:
Sahba Heydary - Faculty of Mathematics, K. N. Toosi University of Technology, P. O. Box: ۱۶۷۶۵–۳۳۸۱, Tehran, Iran.
Azim Aminataei - Faculty of Mathematics, K. N. Toosi University of Technology, P. O. Box: ۱۶۷۶۵–۳۳۸۱, Tehran, Iran.
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.
کلمات کلیدی: Drinfel’d–Sokolov system, Numerical solution, Haar wavelets method, Quasilinearization technique
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1595590/