Other Articles by Author(s)

Vijay Saw
Sushil Kumar

Author(s) and WSEAS

Vijay Saw
Sushil Kumar

WSEAS Transactions on Systems

Print ISSN: 1109-2777
E-ISSN: 2224-2678

Volume 17, 2018

Notice: As of 2014 and for the forthcoming years, the publication frequency/periodicity of WSEAS Journals is adapted to the 'continuously updated' model. What this means is that instead of being separated into issues, new papers will be added on a continuous basis, allowing a more regular flow and shorter publication times. The papers will appear in reverse order, therefore the most recent one will be on top.

Volume 17, 2018

Numerical Scheme for Solving Two Point Fractional Bagley-Torvik Equation Using Chebyshev Collocation Method

AUTHORS: Vijay Saw, Sushil Kumar

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ABSTRACT: In this paper, we propose numerical scheme for solving two point fractional Bagley-Torvik equation (FBTE). The scheme is based on collocation and using shifted Chebyshev polynomials of the second kind (SCPSK) orthogonal basis functions. In this case, we replace an integer order derivatives by fractional order derivatives in Caputo sense. By using the properties of SCPSK to reduce fractional Bagley-Torvik equation into system of algebraic equations, which can be solved by iteration method. The error analysis and error bounds are discussed. The validation of the present algorithm is tested through number of examples. All computational results are done in Matlab.

KEYWORDS: Caputo fractional derivative, Chebyshev polynomials of the second kind, Collocation method, Fractional Bagley-Torvik equation, Convergence analysis


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WSEAS Transactions on Systems, ISSN / E-ISSN: 1109-2777 / 2224-2678, Volume 17, 2018, Art. #18, pp. 166-177

Copyright © 2018 Author(s) retain the copyright of this article. This article is published under the terms of the Creative Commons Attribution License 4.0

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