Volume 2, Issue 1 (9-2016)
mmr 2016, 2(1): 17-32 |
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Keshavarz E, Ordokhani Y. Bernoulli Wavelets Method for Solution of Fractional Differential Equations in a Large Interval. mmr 2016; 2 (1) :17-32
URL: http://mmr.khu.ac.ir/article-1-2575-en.html
URL: http://mmr.khu.ac.ir/article-1-2575-en.html
Abstract: (4155 Views)
In this paper, Bernoulli wavelets are presented for solving (approximately) fractional differential equations in a large interval. Bernoulli wavelets operational matrix of fractional order integration is derived and utilized to reduce the fractional differential equations to system of algebraic equations. Numerical examples are carried out for various types of problems, including fractional Van der Pol and Bagley-Torvik equations for the application of the method. Illustrative examples are presented to demonstrate the efficiency and accuracy of the proposed method.
Keywords: wavelet, Fractional calculus, Differential equations, Block pulse function, Van der Pol equation, Bagley-Torvik equation, Caputo derivative, Operational matrix, Numerical solution
Type of Study: S |
Subject:
alg
Received: 2017/01/16 | Revised: 2017/09/13 | Accepted: 2017/01/16 | Published: 2017/01/16 | ePublished: 2017/01/16
Received: 2017/01/16 | Revised: 2017/09/13 | Accepted: 2017/01/16 | Published: 2017/01/16 | ePublished: 2017/01/16
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