Applied and Computational Mathematics

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Homotopy Method for Solving Finite Level Fuzzy Nonlinear Integral Equation

Received: 23 May 2015    Accepted: 06 June 2015    Published: 29 June 2015
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Abstract

In this paper, non – linear finite fuzzy Volterra integral equation of the second kind (NFVIEK2) is considered. The Homotopy analysis method will be used to solve it, and comparing with the exact solution and calculate the absolute error between them. Some numerical examples are prepared to show the efficiency and simplicity of the method.

DOI 10.11648/j.acm.20150404.13
Published in Applied and Computational Mathematics (Volume 4, Issue 4, August 2015)
Page(s) 245-257
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Fuzzy Number, Finite Level, Volterra Integral Equation of Second Kind, Homotopy Analysis Method, Fuzzy Integral

References
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Author Information
  • University Gadjah mada, Department of Mathematics and atural Science, Faculty MIPA, Yogyakarta, Indonesia

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    Alan Jalal Abdulqader. (2015). Homotopy Method for Solving Finite Level Fuzzy Nonlinear Integral Equation. Applied and Computational Mathematics, 4(4), 245-257. https://doi.org/10.11648/j.acm.20150404.13

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    ACS Style

    Alan Jalal Abdulqader. Homotopy Method for Solving Finite Level Fuzzy Nonlinear Integral Equation. Appl. Comput. Math. 2015, 4(4), 245-257. doi: 10.11648/j.acm.20150404.13

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    AMA Style

    Alan Jalal Abdulqader. Homotopy Method for Solving Finite Level Fuzzy Nonlinear Integral Equation. Appl Comput Math. 2015;4(4):245-257. doi: 10.11648/j.acm.20150404.13

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  • @article{10.11648/j.acm.20150404.13,
      author = {Alan Jalal Abdulqader},
      title = {Homotopy Method for Solving Finite Level Fuzzy Nonlinear Integral Equation},
      journal = {Applied and Computational Mathematics},
      volume = {4},
      number = {4},
      pages = {245-257},
      doi = {10.11648/j.acm.20150404.13},
      url = {https://doi.org/10.11648/j.acm.20150404.13},
      eprint = {https://download.sciencepg.com/pdf/10.11648.j.acm.20150404.13},
      abstract = {In this paper, non – linear finite fuzzy Volterra integral equation of the second kind (NFVIEK2) is considered. The Homotopy analysis method will be used to solve it, and comparing with the exact solution and calculate the absolute error between them. Some numerical examples are prepared to show the efficiency and simplicity of the method.},
     year = {2015}
    }
    

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    AB  - In this paper, non – linear finite fuzzy Volterra integral equation of the second kind (NFVIEK2) is considered. The Homotopy analysis method will be used to solve it, and comparing with the exact solution and calculate the absolute error between them. Some numerical examples are prepared to show the efficiency and simplicity of the method.
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