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Solution of Troesche's problem by double exponential Sinc collocation method | ||
| Journal of Mathematical Modeling | ||
| مقاله 4، دوره 6، شماره 1، مهر 2018، صفحه 77-90 اصل مقاله (391.99 K) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22124/jmm.2018.2808 | ||
| نویسندگان | ||
| Mohammad Nabati* 1؛ Soudabeh Nikmanesh1؛ Mehdi Jalalvand2 | ||
| 1Department of Basic Sciences, Abadan Faculty of Petroleum Engineering, Petroleum University of Technology, Abadabn, Iran | ||
| 2Department of Mathematics, Faculty of Mathematical Sciences and Computer, Shahid Chamran University of Ahvaz, Ahvaz, Iran | ||
| چکیده | ||
| In this investigation, the Sinc collocation method based on double exponential transformation is developed to solve the Troesche's problem. Properties of this method are utilized to reduce the system of strongly nonlinear two point boundary value problem to same nonlinear algebraic equations. Combining double exponential transformation through Sinc collocation method causes the remarkable results. To illustrate the high accuracy of the method, the obtained solutions are compared with results of other methods in open literature. The demonstrated results show the simplicity and considerably accuracy of this method in comparison with other methods. | ||
| کلیدواژه‌ها | ||
| Sinc function؛ collocation method؛ double exponential transformation؛ nonlinear Troesche's problem | ||
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آمار تعداد مشاهده مقاله: 930 تعداد دریافت فایل اصل مقاله: 765 |
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