Year: 2018
Author: Hua Wu, Yunzhen Zhu, Hailu Wang, Lingfang Xu
Journal of Mathematical Study, Vol. 51 (2018), Iss. 1 : pp. 57–75
Abstract
We develop a domain decomposition Chebyshev spectral collocation method for the second-kind linear and nonlinear Volterra integral equations with smooth kernel functions. The method is easy to implement and possesses high accuracy. In the convergence analysis, we derive the spectral convergence order under the $L^∞$-norm without the Chebyshev weight function, and we also show numerical examples which coincide with the theoretical analysis.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jms.v51n1.18.04
Journal of Mathematical Study, Vol. 51 (2018), Iss. 1 : pp. 57–75
Published online: 2018-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 19
Keywords: Nonlinear Volterra integral equations domain decomposition method Chebyshev–collocation spectral method convergence analysis.