Fully Discrete Galerkin Method For Fredholm Integro-Differential Equations With Weakly Singular Kernels

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Abstract: Approximations to a solution and its derivatives of a boundary value problem of an nth order linear Fredholm integro-differential equation with weakly sin-gular 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 dis-crete 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.

Location
Deutsche Nationalbibliothek Frankfurt am Main
Extent
Online-Ressource
Language
Englisch

Bibliographic citation
Fully Discrete Galerkin Method For Fredholm Integro-Differential Equations With Weakly Singular Kernels ; volume:8 ; number:3 ; year:2008 ; pages:294-308
Computational methods in applied mathematics ; 8, Heft 3 (2008), 294-308

Creator
PEDAS, A.
TAMME, E.

DOI
10.2478/cmam-2008-0021
URN
urn:nbn:de:101:1-2410261632256.971197886139
Rights
Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
Last update
15.08.2025, 7:36 AM CEST

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Associated

  • PEDAS, A.
  • TAMME, E.

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