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A generalized block-by-block method for the system of linear Volterra integral equations of the second kind

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Wuhan University Journal of Natural Sciences

Abstract

In this paper, we provide a generalized block-by-block method for constructing block-by-block systems to solve the system of linear Volterra integral equations of the second kind, and then deduce some of the special cases. Compared with the expansion method and He’s homotopy perturbation method, respectively, numerical examples are given to certify the effectiveness of the method. The results show that the block-by-block method is very effective, simple, and of high accuracy in solving the system of linear Volterra integral equations of the second kind.

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Authors and Affiliations

  1. Institute of Geology and Geophysics, Chinese Academy of Sciences, Beijing, 100029, China

    Wenshuai Wang

  2. School of Mathematics and Computer Science, Ningxia University, Yinchuan, 750021, Ningxia, China

    Wenshuai Wang & Xu Wang

Authors
  1. Wenshuai Wang
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  2. Xu Wang
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Correspondence to Wenshuai Wang.

Additional information

Foundation item: Supported by the National Natural Science Foundation of China(10962008)

Biography: WANG Wenshuai, male, Ph. D. candidate, research direction: numerical simulation of seismic wave.

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Wang, W., Wang, X. A generalized block-by-block method for the system of linear Volterra integral equations of the second kind. Wuhan Univ. J. Nat. Sci. 16, 465–468 (2011). https://doi.org/10.1007/s11859-011-0782-3

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  • DOI: https://doi.org/10.1007/s11859-011-0782-3

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