Abstract
An efficient numerical method for solving nonlinear integral equations and evolution equations based on the Haar wavelets approach is proposed. The method is tested for Fredholm and Volterra integral equations and for the Burgers and sine-Gordon equations. Results obtained by computer simulation are compared with other available solutions. These calculations show that the accuracy of the Haar wavelet approach is quite high even in the case of a small number of grid points.
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© 2006 Springer
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Lepik, Ü. (2006). Haar wavelet method for solving integral equations and evolution equations. In: Motasoares, C.A., et al. III European Conference on Computational Mechanics. Springer, Dordrecht. https://doi.org/10.1007/1-4020-5370-3_44
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DOI: https://doi.org/10.1007/1-4020-5370-3_44
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-4994-1
Online ISBN: 978-1-4020-5370-2
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