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Application of Haar wavelet based methods for solving wave propagation problems

Authors: M. Ratas, S. K. Jena, S. Chakraverty
AIP Conference Proceedings, Vol. 2293, AIP Publishing LLC, 2020.

Abstract

The Haar wavelet method (HWM) is adapted for solving 2D nonlinear wave propagation problems. The 2D Burgers equation is considered as a model equation here. The 2D wavelet expansion is employed for the spatial derivatives and standard ordinary differential equation solvers are used for the temporal derivative. The aim of the study is to validate HWM in multi-dimensional case. The numerical results obtained are found to be in good agreement with analytical solution.

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