M. Karimian - Department mathematics payame noor university of tehran,Iran
A. Karimian - Department of Mathematics, University of Tehran, Iran.

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.

Reproducing Kernel Space, Generalized Burgers Equation, Norm Space, Partial Differential Equation