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Reproducing Kernel Space Hilbert Method for Solving Generalized Burgers Equation | ||
International Journal of Mathematical Modelling & Computations | ||
مقاله 6، دوره 8، 3 (SUMMER) - شماره پیاپی 31، آبان 2018، صفحه 199-206 اصل مقاله (78.4 K) | ||
نوع مقاله: Full Length Article | ||
نویسندگان | ||
M. Karimian* 1؛ A. Karimian2 | ||
1Department mathematics payame noor university of tehran,Iran | ||
2Department of Mathematics, University of Tehran, Iran. | ||
چکیده | ||
In this paper, we present a new method for solving Reproducing Kernel Space (RKS) theory, and iterative algorithm for solving Generalized Burgers Equation (GBE) is presented. The analytical solution is shown in a series in a RKS, and the approximate solution u(x,t) is constructed by truncating the series. The convergence of u(x,t) to the analytical solution is also proved. | ||
کلیدواژهها | ||
Reproducing Kernel Space؛ Generalized Burgers Equation؛ Norm Space؛ Partial Differential Equation | ||
آمار تعداد مشاهده مقاله: 351 تعداد دریافت فایل اصل مقاله: 230 |