Volterra Integral Equations with Vanishing Delay
Applied and Computational Mathematics
Volume 4, Issue 3, June 2015, Pages: 152-161
Received: Mar. 29, 2015; Accepted: May 6, 2015; Published: May 27, 2015
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Xiaoxuan Li, Department of Mathematics and Statistics, Hanshan Normal University, Chaozhou, China
Weishan Zheng, Department of Mathematics and Statistics, Hanshan Normal University, Chaozhou, China
Jiena Wu, Department of Mathematics and Statistics, Hanshan Normal University, Chaozhou, China
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In this article, we use a Chebyshev spectral-collocation method to solve the Volterra integral equations with vanishing delay. Then a rigorous error analysis provided by the proposed method shows that the numerical error decay exponentially in the infinity norm and in the Chebyshev weighted Hilbert space norm. Numerical results are presented, which confirm the theoretical predicition of the exponential rate of convergence.
Chebyshev Spectral-Collocation Method, Volterra Integral Equations, Vanishing Delay, Error Estimate, Convergence Analysis
To cite this article
Xiaoxuan Li, Weishan Zheng, Jiena Wu, Volterra Integral Equations with Vanishing Delay, Applied and Computational Mathematics. Vol. 4, No. 3, 2015, pp. 152-161. doi: 10.11648/j.acm.20150403.18
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