Fractional type of flatlet oblique multiwavelet for solving fractional differential and integro-differential equations

سال انتشار: 1393
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 273

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شناسه ملی سند علمی:

JR_CMDE-2-4_006

تاریخ نمایه سازی: 15 اسفند 1401

چکیده مقاله:

The construction of fractional type of flatlet biorthogonal multiwavelet system is investigated in this paper. We apply this system as basis functions to solve the fractional differential and integro-differential equations. Biorthogonality and high vanishing moments of this system are two major properties which lead to the good approximation for the solutions of the given problems. Some test problems are discussed at the end of paper to show the efficiency of the proposed method.

کلیدواژه ها:

Integro-differential equations ، fractional type of flatlet oblique multiwavelets ، biorthogonal flatlet multiwavelet system

نویسندگان

Mohammadreza Ahmadi Darani

Faculty of mathematical Sciences, Shahrekord University, P. O. Box ۱۱۵, Shahrekord, Iran.

Shirin Bagheri

Faculty of Basic Sciences, Islamic Azad University, Science and Research Branch, P. O. Box ۱۴۵۱۵/۷۷۵, Tehran, Iran.