A computational method based on Legendre wavelets for solving distributed order fractional diffrential equations
محل انتشار: مجله مدلسازی ریاضی، دوره: 9، شماره: 3
سال انتشار: 1400
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 121
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شناسه ملی سند علمی:
JR_JMMO-9-3_012
تاریخ نمایه سازی: 19 خرداد 1403
چکیده مقاله:
In the current investigation, the distributed order fractional derivative operational matrix based on the Legendre wavelets (LWs) as the basis functions is derived. This operational matrix is applied together with collocation method for solving distributed order fractional differential equations. Also, convergence analysis of the proposed scheme is given. Finally, numerical examples are presented to show the efficiency and superiority of the mentioned scheme.
کلیدواژه ها:
Legendre wavelets ، distributed order fractional diffrential equations ، numerical method ، operational matrix
نویسندگان
Parisa Rahimkhani
Department of Mathematics, Faculty of Mathematical Sciences, Alzahra University, Tehran, Iran
Yadollah Ordokhani
Department of Mathematics, Faculty of Mathematical Sciences, Alzahra University, Tehran, Iran