Reproducing Kernel Space Hilbert Method for Solving Generalized Burgers Equation

Karimian, M.; Karimian, A.

Manuscript ID : IJM2C-1812-1084 (R2) Visit : 163 Page: 199 - 206

Article Type: Original Research

Reproducing Kernel Space Hilbert Method for Solving Generalized Burgers Equation

Subject Areas : International Journal of Mathematical Modelling & Computations

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

Received: 2018-06-08 Accepted : 2018-12-10 Published : 2018-08-01

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

Abstract :

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.

References:

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Reproducing Kernel Space Hilbert Method for Solving Generalized Burgers Equation