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Numerical solution of Bagley–Torvik, nonlinear and higher order fractional differential equations using Haar wavelet

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Abstract

This paper deals with a study of performance of the collocation method for solution of the Bagley–Torvik, nonlinear and higher order fractional differential equations arising quite frequently in various branches of applied mathematics and mechanics via Haar wavelets. We first reduce the fractional differential equation into the algebraic equation which can be solved easily. Numerical examples are presented and obtained results are compared with those exist in the literature, which validate the accuracy and efficiency of the proposed technique.

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Acknowledgements

Authors are thankful to KLECET, Chikodi and KLE's G. I. Bagewadi College, Nipani for their support to research. Also authors are thankful to the reviewers for their suggestions.

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Authors and Affiliations

  1. Department of Mathematics, KLECET, Chikodi, 591201, India

    A. B. Deshi

  2. Department of Mathematics, KLE’s G. I. Bagewadi College, Nipani, 591237, India

    G. A. Gudodagi

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  1. A. B. Deshi
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  2. G. A. Gudodagi
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Correspondence to A. B. Deshi.

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Deshi, A.B., Gudodagi, G.A. Numerical solution of Bagley–Torvik, nonlinear and higher order fractional differential equations using Haar wavelet. SeMA 79, 663–675 (2022). https://doi.org/10.1007/s40324-021-00264-z

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