%0 Journal Article
%T Reproducing Kernel Space Hilbert Method for Solving Generalized Burgers Equation
%J International Journal of Mathematical Modelling & Computations
%I Islamic Azad University, Central tehran Branch
%Z 2228-6225
%A Karimian, M.
%A Karimian, A.
%D 2018
%\ 08/01/2018
%V 8
%N 3 (SUMMER)
%P 199-206
%! Reproducing Kernel Space Hilbert Method for Solving Generalized Burgers Equation
%K Reproducing Kernel Space
%K Generalized Burgers Equation
%K Norm Space
%K Partial Differential Equation
%R
%X 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.
%U http://ijm2c.iauctb.ac.ir/article_663825_5f143c09628fc5b1792b0614fab02b58.pdf