Abstract
A quasi-wavelet based numerical method was introduced for solving the evolution of the solutions of nonlinear paritial differential Burgers' equations. The quasi wavelet based numerical method was used to discrete the spatial derivatives, while the fourth-order Runge-Kutta method was adopted to deal with the temporal discretization. The calculations were conducted at a variety of Reynolds numbers ranging from 10 to unlimited large. The comparisons of present results with analytical solutions show that the quasi wavelet based numerical method has distinctive local property, and is efficient and robust for numerically solving Burgers' equations.
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Communicated by Dai Shi-qiang
Foundation item: the National Natural Science Foundation of China (19902010)
Biography: Wan De-cheng (1967∼)
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De-cheng, W., Guo-wei, W. The study of quasi wavelets based numerical method applied to Burgers' equations. Appl Math Mech 21, 1099–1110 (2000). https://doi.org/10.1007/BF02458986
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DOI: https://doi.org/10.1007/BF02458986