Second-order time discretization with finite-element method for partial integro-differential equations with a weakly singular kernel

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We propose the second-order ti me discretization scheme with the finite-element approximation for the partial integro-differential equations with a weakly singular kernel. The space discretization is based on the finite element method and the time discretization is based on the Crank-Nicolson scheme with a graded mesh. We show the stability of the scheme and obtain the second-order convergence result for the fully discretized scheme.
Publisher
AUSTRALIAN MATHEMATICS PUBL ASSOC INC
Issue Date
1999
Language
English
Article Type
Article
Keywords

INTEGRODIFFERENTIAL EQUATION; COLLOCATION METHODS

Citation

JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES B-APPLIED MATHEMATICS, v.40, pp.513 - 524

ISSN
0334-2700
URI
http://hdl.handle.net/10203/69943
Appears in Collection
MA-Journal Papers(저널논문)
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