Reproducing Kernel Space Hilbert Method for Solving Generalized Burgers Equation

Document Type : Full Length Article


1 Department mathematics payame noor university of tehran,Iran

2 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.