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.
This work was supported by the Key Science-Technology Project of Chongqing under Grant NO.CSTC-2005AC2090, and the Science Foundation of Chongqing under Grant NO.CSTC-2006BB2249.
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Huang, Z.H., Xia, L., He, X.P. (2007). A Numerical Solutions Based on the Quasi-wavelet Analysis. In: Shi, Y., van Albada, G.D., Dongarra, J., Sloot, P.M.A. (eds) Computational Science – ICCS 2007. ICCS 2007. Lecture Notes in Computer Science, vol 4488. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-72586-2_152
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DOI: https://doi.org/10.1007/978-3-540-72586-2_152
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