Iranian Mathematical Society (IMS)Bulletin of the Iranian Mathematical Society1017-060X38220120715Optimal order finite element approximation for a hyperbolic integro-differential equation447459201ENFardinSaedpanahUniversity of Kurdistan,
Department of MathematicsJournal Article20101026Semidiscrete finite element approximation of a hyperbolic type <br />integro-differential equation is studied. The model problem is <br />treated as the wave equation which is perturbed with a memory term. <br />Stability estimates are obtained for a slightly more general problem. <br />These, based on energy method, are used to prove optimal order <br />a priori error estimates.http://bims.iranjournals.ir/article_201_e72a83b9b71c31f92537ef2e58b72810.pdf