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Second-order time discretization with finite-element method for partial integro-differential equations with a weakly singular kernel
Published online by Cambridge University Press: 17 February 2009
Abstract
We propose the second-order time 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.
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- Copyright © Australian Mathematical Society 1999