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Extended Legendre Wavelet Method for Solving Fractional Order Time Hyperbolic Partial Differential Equation

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Abstract

An efficient numerical technique is developed for solving fractional order time hyperbolic partial differential equations by using the extended Legendre wavelet method. The fractional integral of extended Legendre wavelet in Riemann–Liouville sense is obtained by using Laplace transformation. The proposed scheme is established to compute an approximate solution and also to achieve a high degree of accuracy with a low computational cost. The solution obtained by the Extended Legendre wavelet method and standard Legendre wavelet method has been compared with their exact solution. Moreover, the convergence behavior and error analysis of the proposed method is studied through several examples.

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Acknowledgements

Authors are thankful to Eternal University for providing necessary facilities. We are also sincerely thankful to the editor and reviewers for giving us valuable comments and suggestions.

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  1. Department of Mathematics, Eternal University, Baru Sahib, Himachal Pradesh, India

    Sandipan Gupta & Bharti Thakur

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  1. Sandipan Gupta
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  2. Bharti Thakur
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Gupta, S., Thakur, B. Extended Legendre Wavelet Method for Solving Fractional Order Time Hyperbolic Partial Differential Equation. Int. J. Appl. Comput. Math 9, 41 (2023). https://doi.org/10.1007/s40819-023-01512-8

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