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Numerical solution of fractional differential equations by semiorthogonal B‐spline wavelets
Author(s) -
Liu Can,
Zhang Xinming,
Wu Boying
Publication year - 2019
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.5828
Subject(s) - mathematics , bounded function , wavelet , b spline , mathematical analysis , algebra over a field , pure mathematics , computer science , artificial intelligence
In this paper, semiorthogonal B‐spline wavelets collection method (SOBWCM) is applied for solving the fractional differential equations with derivatives in Caputo sense. This method transforms the original fractional differential equations to a system of algebraic equations based on the semiorthogonal B‐spline wavelets and the relevant scaling functions on a bounded interval. The operational matrix of SOBWCM is presented, and the error analysis is derived. Finally, some test examples are provided to demonstrate the accuracy of the method.