Solving the generalized regularized long wave equation on the basis of a reproducing kernel space

  • Authors:

  • Maryam Mohammadi;Reza Mokhtari

  • Affiliations:

  • -;-

  • Venue:
  • Journal of Computational and Applied Mathematics
  • Year:
  • 2011

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Abstract

On the basis of a reproducing kernel space, an iterative algorithm for solving the generalized regularized long wave equation is presented. The analytical solution in the reproducing kernel space is shown in a series form and the approximate solution u"n is constructed by truncating the series to n terms. The convergence of u"n to the analytical solution is also proved. Results obtained by the proposed method imply that it can be considered as a simple and accurate method for solving such evolution equations.