Reproducing Kernel Space Hilbert Method for Solving Generalized Burgers Equation

Authors

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

Upgrade to premium to download articles

Sign up to access the full text

Already have an account?login

similar resources

Reproducing Kernel Hilbert Space(RKHS) method for solving singular perturbed initial value problem

In this paper, a numerical scheme for solving singular initial/boundary value problems presented.By applying the reproducing kernel Hilbert space method (RKHSM) for solving these problems,this method obtained to approximated solution. Numerical examples are given to demonstrate theaccuracy of the present method. The result obtained by the method and the exact solution are foundto be in good agr...

full text

A Novel Method for Solving KdV Equation Based on Reproducing Kernel Hilbert Space Method

and Applied Analysis 3 Similarly, we define the space W 2 2 [0, T] = { { { { { { { V (t) | V (t) , V 󸀠 (t) are absolutely continuous in [0, T] , V 󸀠󸀠 (t) ∈ L 2 [0, T] , t ∈ [0, T] , V (0) = 0 } } }

full text

Solving Fuzzy Impulsive Fractional Differential Equations by Reproducing Kernel Hilbert Space Method

The aim of this paper is to use the Reproducing kernel Hilbert Space Method (RKHSM) to solve the linear and nonlinear fuzzy impulsive fractional differential equations. Finding the numerical solutionsof this class of equations are a difficult topic to analyze. In this study, convergence analysis, estimations error and bounds errors are discussed in detail under some hypotheses which provi...

full text

Solving multi-order fractional differential equations by reproducing kernel Hilbert space method

In this paper we propose a relatively new semi-analytical technique to approximate the solution of nonlinear multi-order fractional differential equations (FDEs). We present some results concerning to the uniqueness of solution of nonlinear multi-order FDEs and discuss the existence of solution for nonlinear multi-order FDEs in reproducing kernel Hilbert space (RKHS). We further give an error a...

full text

reproducing kernel hilbert space(rkhs) method for solving singular perturbed initial value problem

in this paper, a numerical scheme for solving singular initial/boundary value problems presented.by applying the reproducing kernel hilbert space method (rkhsm) for solving these problems,this method obtained to approximated solution. numerical examples are given to demonstrate theaccuracy of the present method. the result obtained by the method and the exact solution are foundto be in good agr...

full text

New implementation of reproducing kernel Hilbert space method for solving a class of functional integral equations

In this paper, we apply the new implementation of reproducing kernel Hilbert space method to give the approximate solution to some functional integral equations of the second kind. To show its effectiveness and convenience, some examples are given.

full text

My Resources

Save resource for easier access later

Save to my library Already added to my library

{@ msg_add @}


Journal title

volume 8  issue 3 (SUMMER)

pages  199- 206

publication date 2018-05-01

By following a journal you will be notified via email when a new issue of this journal is published.

Hosted on Doprax cloud platform doprax.com

copyright © 2015-2023