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An efficient operational matrix method for the numerical solutions of the fractional Bagley–Torvik equation using wavelets

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Abstract

In this paper, we apply a method which comprises of two methods Bernoulli wavelet operational matrix of derivative and integration to solve Bagley–Torvik equation of fractional order arising in mathematical chemistry. We discuss convergence and comparison of this method. The obtained results indicate that the method is very efficient and accurate.

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Acknowledgements

This work was supported by the Naval Research Board (NRB) (Project No.: NRB-447/SC/19-20), Government of India. Our hearty thanks are due to Prof. R.Sethuraman, Chairman, SASTRA Deemed University, Dr. S. Vaidhyasubramaniam, Vice-Chancellor, SASTRA Deemed University, Dr.S.Swaminathan, Dean/Planning and Development, SASTRA Deemed University for their kind encouragement and for providing good research environment.

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  1. Department of Mathematics, School of Arts, Sciences and Humanities, SASTRA Deemed University, Thanjavur, 613 401, India

    S. Balaji & G. Hariharan

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  1. S. Balaji
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  2. G. Hariharan
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Correspondence to G. Hariharan.

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Balaji, S., Hariharan, G. An efficient operational matrix method for the numerical solutions of the fractional Bagley–Torvik equation using wavelets. J Math Chem 57, 1885–1901 (2019). https://doi.org/10.1007/s10910-019-01047-8

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  • DOI: https://doi.org/10.1007/s10910-019-01047-8

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