Non-classical H 1 projection and Galerkin methods for non-linear parabolic integro-differential equations

J. R. Cannon, Yanping Lin

Research output: Journal article publicationJournal articleAcademic researchpeer-review

76 Citations (Scopus)

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 languageEnglish
Pages (from-to)187-201
Number of pages15
JournalCalcolo
Volume25
Issue number3
DOIs
Publication statusPublished - 1 Sep 1988
Externally publishedYes

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

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