Bulletin of the Iranian Mathematical Society

Bulletin of the Iranian Mathematical Society

Optimal order finite element approximation for a hyperbolic‎ ‎integro-differential equation

Document Type : Research Paper

Author
University of Kurdistan, Department of Mathematics
Abstract
‎Semidiscrete finite element approximation of a hyperbolic type‎
‎integro-differential equation is studied. The model problem is‎
‎treated as the wave equation which is perturbed with a memory term.‎
‎Stability estimates are obtained for a slightly more general problem.‎
‎These, based on energy method, are used to prove optimal order‎
‎a priori error estimates.‎
Keywords

  • Receive Date 26 October 2010
  • Revise Date 25 December 2011
  • Accept Date 25 December 2011