Computational Methods for Delay Parabolic and Time-Fractional Partial Differential Equations

This article is concerned with v-methods for delay parabolic partial differential equations. The methodology is extended to time-fractional-order parabolic partial differential equations in the sense of Caputo. The fully implicit scheme preserves delay-independent asymptotic stability and the solution continuously depends on the time-fractional order. Several numerical examples of interest are included to demonstrate the effectiveness of the method. (C) 2009 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 26: 1556-1572, 2010