Reproducing Kernel Space Hilbert Method for Solving Generalized Burgers Equation

محورهای موضوعی : فصلنامه ریاضی

M. Karimian ¹ (Department mathematics payame noor university of tehran,Iran)
A. Karimian ² (Department of Mathematics, University of Tehran, Iran.)

تاریخ دریافت : 1397/03/18 تاریخ پذیرش : 1397/09/19 تاریخ انتشار : 1397/05/10

کلید واژه: Partial Differential Equation, Reproducing Kernel Space, Generalized Burgers Equation, Norm Space,

چکیده مقاله :

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.