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Information Technology Journal

Year: 2013 | Volume: 12 | Issue: 23 | Page No.: 7401-7408
DOI: 10.3923/itj.2013.7401.7408
On Pseudo-spectral Method for Second-kind Weakly Singularvolterra Integral Equations with Smooth Solutions
Zhang Xiao-Yong and Wu Huafeng

Abstract: The Jacobi pseudo-spectral Galerkin method for the weakly singular Volterra integral equations of the second kind with smooth solutions is proposed in this study. We provide a rigorous error analysis for the proposed method which indicates that the numerical errors (in the L2-norm and the L∞-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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How to cite this article
Zhang Xiao-Yong and Wu Huafeng, 2013. On Pseudo-spectral Method for Second-kind Weakly Singularvolterra Integral Equations with Smooth Solutions. Information Technology Journal, 12: 7401-7408.

Keywords: Volterra integral equation, Jacobi pseudo-spectral method, weakly singular kernel and convergence

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