Abstract
Taking the approximate equations for long waves in shallow water as example, the quasi-wavelet discrete scheme is proposed for obtaining numerical solution of the (1+1) dimension nonlinear partial differential equation. In the method, the quasi-wavelet discrete scheme is adopted to discretize the spatial derivative discrete and the ordinary differential equation about time is obtained. Then the fourth order Rung-Katta method is employed to discretize the temporal derivative. Finally the quasi-wavelet solution is compared with the analytical solution, and the computations are validated. © Springer-Verlag Berlin Heidelberg 2007.
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CITATION STYLE
Huang, Z. H., Xia, L., & He, X. P. (2007). A numerical solutions based on the quasi-wavelet analysis. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 4488 LNCS, pp. 1083–1090). Springer Verlag. https://doi.org/10.1007/978-3-540-72586-2_152
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