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Analytical method for solving inviscid burger equation

Author(s)
Muhammad Amir Department of Mathematics, University of Engineering and Technology Lahore, Pakistan
Muhammad Awais Department of Mathematics, University of Engineering and Technology Lahore, Pakistan
Asifa Ashraf Department of Mathematics, University of Engineering and Technology Lahore, Pakistan
Riasat Ali Department of Mathematics and Statistics, Faculty of Science and Technology, Thammasat University, Pathum Thani, Thailand
Syed Asif Ali Shah Department of Mathematics and Statistics, The University of Lahore, Lahore, Pakistan
Abstract
In this paper, we use the natural decomposition method (NDM) for solving inviscid Burger equation (BE). The NDM is associated with the Adomain decomposition method (ADM) and the natural transform method. Applying the analytic method, we solved successfully both lin-ear and non-linear partial differential equations. By applying the NDM, we compute the best approximation solution of linear and non-linear par-tial differential equations. In our experiments, we report comparisons with the exact solution.
Publication Details
Page(s) 13-25
DOI DOI not available
Published Journal: Punjab University Journal of Mathematics, Volume: 55, Issue: 1, Year: 2023

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Keywords
Natural decomposition method, Adomain polynomial, Inviscid Burger equation
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