On the Finite Volume Element Method for Self-Adjoint Parabolic Integrodifferential Equations

الملخص EN

Finite volume element schemes for non-self-adjoint parabolic integrodifferential equations are derived and stated.

For the spatially discrete scheme, optimal-order error estimates in L2, H1, and Lp, W1,p norms for 2≤p<∞, are obtained.

In this paper, we also study the lumped mass modification.

Based on the Crank-Nicolson method, a time discretization scheme is discussed and related error estimates are derived.