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Wavelet solutions of the second Painleve equation | ||
| Iranian Journal of Science | ||
| مقاله 4، دوره 35، شماره 4، بهمن 2011، صفحه 287-291 اصل مقاله (128.81 K) | ||
| نوع مقاله: Regular Paper | ||
| شناسه دیجیتال (DOI): 10.22099/ijsts.2011.2153 | ||
| نویسندگان | ||
| E. Hesameddini* ؛ S. Shekarpaz | ||
| Department of Mathematics, Faculty of Basic Sciences, Shiraz University of Technology, Modarres Blvd. P.O. Box, 71555-313, Shiraz, Iran | ||
| چکیده | ||
| Dynamically adaptive numerical methods have been developed to find solutions for differential equations. The subject of wavelet has attracted the interest of many researchers, especially, in finding efficient solutions for differential equations. Wavelets have the ability to show functions at different levels of resolution. In this paper, a numerical method is proposed for solving the second Painleve equation based on the Legendre wavelet. The solutions of this method are compared with the analytic continuation and Adomian Decomposition methods and the ability of the Legendre wavelet method is demonstrated. | ||
| کلیدواژهها | ||
| Multiresolution analysis؛ Wavelet؛ Painleve equations؛ legendre wavelet؛ Adomian Decomposition Method | ||
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