An accuracy of the Galerkin approximation for nonhomogeneous a Kirchhoff type wave equation

  • Authors:
  • Jemal Peradze

  • Affiliations:
  • Faculty of Exact and Natural Sciences, Ivane Javakhishvili Tbilisi State University, Tbilisi, Georgia

  • Venue:
  • FANDB'09 Proceedings of the 2nd WSEAS international conference on Finite differences, finite elements, finite volumes, boundary elements
  • Year:
  • 2009

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Abstract

An initial boundary value problem is posed for the Kirchhoff type integro-differential equation, which describes the dynamic state of a beam. To approximate the solution with respect to a spatial variable the Galerkin method is used the error of which is estimated.