Abstract
In this paper the Galerkin method is analyzed for the following nonlinear integro-differential equation of parabolic type: {Mathematical expression} Optimal L 2 error estimates for Crank-Nicolson and extrapolated Crank-Nicolson approximations are derived by using a non-classical H 1 projection associated with the above equation. Both schemes result in procedures which are second order correct in time, but the latter requires the solution of a linear algebraic system only once per time step.
Original language | English |
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Pages (from-to) | 187-201 |
Number of pages | 15 |
Journal | Calcolo |
Volume | 25 |
Issue number | 3 |
DOIs | |
Publication status | Published - 1 Sept 1988 |
Externally published | Yes |
Keywords
- AMS (MOS) subject classification: 65N15, 65N30, Keywords, Error estimates, Galerkin method, parabolic integro-differential equation, non-classical H projection 1
ASJC Scopus subject areas
- Algebra and Number Theory
- Computational Mathematics