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Convergence Analysis of Jacobi Pseudo-Spectral Method for the Volterra Delay Integro-Differential Equations |
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PP: 135-145 |
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Author(s) |
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Zhang Xiao-yong,
Li Junlin,
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Abstract |
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| The Jacobi pseudo-spectral method for the Volterra delay integro-differential equations of the second kind is proposed in
this paper. We provide a rigorous error analysis for the proposed method, which indicates that the numerical errors (in the L2w
a,b -norm
and the LĄ-norm ) will decay exponentially provided that the source function is sufficiently smooth. Numerical examples are given to
illustrate the theoretical results. |
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