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Lie Symmetry Classification and Numerica...
Chamazkoti, Rohollah...
Lie Symmetry Classification and Numerical Analysis of KdV Equation with Power-law Nonlinearity by Chamazkoti, Rohollah Bakhshandeh ( Author )
Australian National University
06-09-2023
In this paper, a complete Lie symmetry analysis of the damped wave equation with time-dependent coefficients is investigated. Then the invariant solutions and the exact solutions generated from the symmetries are presented. Moreover, a Lie algebraic classifications and the optimal system are discussed. Finally, using Chebyshev pseudo-spectral method (CPSM), a numerical analysis to solve the invariant solutions corresponded the Lie symmetries of main equation is presented. This method applies the Chebyshev-Gauss-Lobatto points as collocation points.
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Article
pdf
29.34 KB
English
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MYR 0.01
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http://arxiv.org/abs/1405.0592
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