An h-p version of the continuous Petrov-Galerkin method for Volterra delay-integro-differential equations |
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Authors: | Lina Wang Lijun Yi |
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Affiliation: | 1.Department of Mathematics,Shanghai Normal University,Shanghai,China |
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Abstract: | We consider an h-p version of the continuous Petrov-Galerkin time stepping method for Volterra integro-differential equations with proportional delays. We derive a priori error bounds in the L 2-, H 1- and L ∞-norm that are explicit in the local time steps, the local approximation orders, and the local regularity of the exact solution. Numerical experiments are presented to illustrate the theoretical results. |
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