International Journal of

ADVANCED AND APPLIED SCIENCES

EISSN: 2313-3724, Print ISSN: 2313-626X

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 Volume 7, Issue 5 (May 2020), Pages: 104-110

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 Original Research Paper

 Title: Nonlinear integral equations solution method based on operational matrices of Chebyshev

 Author(s): Jumah Aswad Zarnan *

 Affiliation(s):

 Department of Accounting by IT, Cihan University, Sulaimaniya, Kurdistan, Iraq

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 * Corresponding Author. 

  Corresponding author's ORCID profile: https://orcid.org/0000-0002-7794-4080

 Digital Object Identifier: 

 https://doi.org/10.21833/ijaas.2020.05.013

 Abstract:

In this paper, the solution of Hammerstein integral equations is presented by a new approximation method based on operational matrices of Chebyshev polynomials. The nonlinear Hammerstein and Volterra Hammerstein integral equations are reduced to a system of nonlinear algebraic equations by using operational matrices of Chebyshev polynomials. Illustrative examples are presented to test the method. The method is less complicated in comparison to others. The results obtained are demonstrated with previously validated results. 

 © 2020 The Authors. Published by IASE.

 This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).

 Keywords: Operational matrix, Chebyshev polynomial, Hammerstein, Integral equation, Volterra integral equation, Approximation method

 Article History: Received 26 October 2019, Received in revised form 20 February 2020, Accepted 22 February 2020

 Acknowledgment:

No Acknowledgment.

 Compliance with ethical standards

 Conflict of interest: The authors declare that they have no conflict of interest.

 Citation:

 Zarnan JA (2020). Nonlinear integral equations solution method based on operational matrices of Chebyshev. International Journal of Advanced and Applied Sciences, 7(5): 104-110

 Permanent Link to this page

 Figures

 Fig. 1 

 Tables

 Table 1 Table 2 Table 3

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