Fractional type of flatlet oblique multiwavelet for solving fractional differential and integro-differential equations
Publish Year: 1393
نوع سند: مقاله ژورنالی
زبان: English
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شناسه ملی سند علمی:
JR_CMDE-2-4_006
تاریخ نمایه سازی: 15 اسفند 1401
Abstract:
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.
Keywords:
Integro-differential equations , fractional type of flatlet oblique multiwavelets , biorthogonal flatlet multiwavelet system
Authors
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.