Galerkin methods for nonlinear parabolic integrodifferential equations with nonlinear boundary conditions

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Abstract

Galerkin methods are analyzed for a nonlinear parabolic integrodifferential equation subject to a specified nonlinear boundary condition and the usual initial condition. Optimal-order error estimates are derived in L2(Ω) norm for the continuous, Crack-Nicolson, and modified Crack-Nicolson Galerkin approximations. As usual, the latter will yield a system of linear algebraic equations to be solved at each level.
Original languageEnglish
Pages (from-to)608-621
Number of pages14
JournalSIAM Journal on Numerical Analysis
Volume27
Issue number3
DOIs
Publication statusPublished - 1 Jan 1990
Externally publishedYes

ASJC Scopus subject areas

  • Numerical Analysis

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