TITLE

FULLY DISCRETE GALERKIN METHOD FOR FREDHOLM INTEGRO-DIFFERENTIAL EQUATIONS WITH WEAKLY SINGULAR KERNELS

AUTHOR(S)
Pedas, A.; Tamme, E.
PUB. DATE
July 2008
SOURCE
Computational Methods in Applied Mathematics;2008, Vol. 8 Issue 3, p294
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
Approximations to a solution and its derivatives of a boundary value problem of an nth order linear Fredholm integro-differential equation with weakly singular or other nonsmooth kernels have been determined. These approximations are piecewise polynomial functions on special graded grids. To find them, a fully discrete version of the Galerkin method has been constructed. This version is based on a discrete inner product concept and some suitable product integration techniques. Optimal global convergence estimates have been derived and a collection of numerical results of a test problem is given.
ACCESSION #
34999308

 

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