On Haar wavelet operational matrix of general order and its application for the numerical solution of fractional Bagley Torvik equation |
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| Authors: | S. Saha Ray |
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| Affiliation: | Department of Mathematics, National Institute of Technology, Orissa, Rourkela 769 008, India |
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| Abstract: | In the present analysis, the motion of an immersed plate in a Newtonian fluid described by Torvik and Bagley’s fractional differential equation [1] has been considered. This Bagley Torvik equation has been solved by operational matrix of Haar wavelet method. The obtained result is compared with analytical solution suggested by Podlubny [2]. Haar wavelet method is used because its computation is simple as it converts the problem into algebraic matrix equation. |
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| Keywords: | Fractional differential equation Bagley Torvik equation Haar wavelets Operational matrices |
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