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An Approximation Method for Solving Burgers’ Equation Using Legendre Wavelets

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Abstract

In this paper, we study the solution of the Burgers’ equation, a non-linear Partial Differential equation, using Legendre wavelets based technique. Burgers’ equation is an essential partial differential equation from fluid mechanics and is also used extensively in other areas of engineering such as gas dynamics, traffic flow modeling, acoustic wave propagation, and so on. The method is based on the function approximation so that that the connection coefficients can be identified easily and the series is the approximate solution or in closed form is the exact solution. Illustrative examples have been demonstrated to promote validity and applicability of the proposed method.

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Acknowledgement

The authors wish to thank Department of Science and Technology, Government of India for the financial sanction towards this work under FIST Programme SR\FST\MSI-107/2015.

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Authors and Affiliations

  1. Department of Mathematics, School of Humanities and Sciences, SASTRA University, Thanjavur, Tamilnadu, 613401, India

    S. G. Venkatesh, S. K. Ayyaswamy & S. Raja Balachandar

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  1. S. G. Venkatesh
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  2. S. K. Ayyaswamy
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  3. S. Raja Balachandar
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Correspondence to S. G. Venkatesh.

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Venkatesh, S.G., Ayyaswamy, S.K. & Raja Balachandar, S. An Approximation Method for Solving Burgers’ Equation Using Legendre Wavelets. Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci. 87, 257–266 (2017). https://doi.org/10.1007/s40010-016-0326-5

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  • DOI: https://doi.org/10.1007/s40010-016-0326-5

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