A Mixed Covolume Method For The Pseudo-Parabolic Integro-Differential Equation On Triangular Grids

Abstract

In this paper, we present a mixed covolume method for the initial-boundary value problem of the pseudo-parabolic integro-differential equation. This method uses the lowest order Raviart-Thomas mixed element space on triangles as the trial space. The convergence analysis shows that this method yields the approximate solution with optimal accuracy in 2 div;Ω (Ω) H() Ĺ .