Numerical Approach for Bagley- Torvik Fractional Differential Equations Using Haar Wavelets

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Volume 14, Issue 2

A.Padmanabha Reddy, C. Sateesha and Manjula S. H

J. Info. Comput. Sci. , 14 (2019), pp. 103-114.

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Abstract

In this paper we consider Bagley-Torvik fractional differential equations, which are arising in the modeling of motion of rigid plate immersed in a Newtonian fluid. The main attribution of our content is that it transforms the fractional differential equations to a system of algebraic equations without any restrictions and assumptions. Theoretical results are authenticated by five numerical examples of both linear and nonlinear. To demonstrate the accuracy and efficiency of the Haar wavelet collocation method and results are compared with the existing methods.

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@Article{JICS-14-103, author = {A.Padmanabha Reddy, C. Sateesha and Manjula S. H}, title = {Numerical Approach for Bagley- Torvik Fractional Differential Equations Using Haar Wavelets}, journal = {Journal of Information and Computing Science}, year = {2019}, volume = {14}, number = {2}, pages = {103--114}, abstract = { In this paper we consider Bagley-Torvik fractional differential equations, which are arising in the modeling of motion of rigid plate immersed in a Newtonian fluid. The main attribution of our content is that it transforms the fractional differential equations to a system of algebraic equations without any restrictions and assumptions. Theoretical results are authenticated by five numerical examples of both linear and nonlinear. To demonstrate the accuracy and efficiency of the Haar wavelet collocation method and results are compared with the existing methods. }, issn = {3080-180X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jics/22420.html} }

TY - JOUR T1 - Numerical Approach for Bagley- Torvik Fractional Differential Equations Using Haar Wavelets AU - A.Padmanabha Reddy, C. Sateesha and Manjula S. H JO - Journal of Information and Computing Science VL - 2 SP - 103 EP - 114 PY - 2019 DA - 2019/06 SN - 14 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jics/22420.html KW - AB - In this paper we consider Bagley-Torvik fractional differential equations, which are arising in the modeling of motion of rigid plate immersed in a Newtonian fluid. The main attribution of our content is that it transforms the fractional differential equations to a system of algebraic equations without any restrictions and assumptions. Theoretical results are authenticated by five numerical examples of both linear and nonlinear. To demonstrate the accuracy and efficiency of the Haar wavelet collocation method and results are compared with the existing methods.

A.Padmanabha Reddy, C. Sateesha and Manjula S. H. (2019). Numerical Approach for Bagley- Torvik Fractional Differential Equations Using Haar Wavelets. Journal of Information and Computing Science. 14 (2). 103-114. doi:

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