Title of article :
OPTIMAL ORDER FINITE ELEMENT APPROXIMATION FOR A HYPERBOLIC INTEGRO-DIFFERENTIAL EQUATION
Author/Authors :
SAEDPANAH, F. university of kurdistan - Department of Mathematics, سنندج, ايران
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 :
Finite element method , wave equation , integro , differential equation , stability , a priori error estimate.
Journal title :
Bulletin of the Iranian Mathematical Society
Journal title :
Bulletin of the Iranian Mathematical Society
