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International Conference on Intelligent Computing

ICIC 2008: Advanced Intelligent Computing Theories and Applications. With Aspects of Theoretical and Methodological Issues pp 744–754Cite as

A New Mechanical Algorithm for Solving System of Fredholm Integral Equation Using Resolvent Method

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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5226))

Abstract

In this paper, by using the theories and methods of mathematical analysis and computer algebra, a complete iterated collocation method for solving system of Fredholm integral equation is established, furthermore, the truncated error is discussed. And a new mechanical algorithm FredEqns is established, too. The algorithm can provide the approximate solution of system of Fredholm integral equation. Some examples are presented to illustrate the efficiency and accuracy of the algorithm. This will be useful for the integral system solving and mathematical theorems automatic proving.

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Author information

Authors and Affiliations

  1. Institute of Nonlinear Analysis, College of Mathematics and Information Science, Wenzhou University, Wenzhou, 325035,  

    Weiming Wang & Yezhi Lin

  2. Software Engineering Institute of East China Normal, University Shanghai, 200062,  

    Zhenbing Zeng

Authors
  1. Weiming Wang
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  2. Yezhi Lin
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  3. Zhenbing Zeng
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Editor information

Editors and Affiliations

  1. Department of Automation, University of Science and Technology of China, 230026, Hefei, Anhui, China

    De-Shuang Huang

  2. Applied Computational Intelligence Laboratory, P.O. Box

    Donald C. Wunsch II

  3. Arlington, USA

    Daniel S. Levine

  4. Graduate School of Electrical Engineering, University of Ulsan, Korea, San 29, Mugeo-Dong, 680 - 749, Nam-Ku, Ulsan, Korea

    Kang-Hyun Jo

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© 2008 Springer-Verlag Berlin Heidelberg

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Wang, W., Lin, Y., Zeng, Z. (2008). A New Mechanical Algorithm for Solving System of Fredholm Integral Equation Using Resolvent Method. In: Huang, DS., Wunsch, D.C., Levine, D.S., Jo, KH. (eds) Advanced Intelligent Computing Theories and Applications. With Aspects of Theoretical and Methodological Issues. ICIC 2008. Lecture Notes in Computer Science, vol 5226. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-87442-3_92

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  • DOI: https://doi.org/10.1007/978-3-540-87442-3_92

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-87440-9

  • Online ISBN: 978-3-540-87442-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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