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Modified Midpoint Method for Solving System of Linear Fredholm Integral Equations of the Second Kind

Received: 24 August 2014     Accepted: 6 September 2014     Published: 30 September 2014
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Abstract

In this paper numerical solution to system of linear Fredholm integral equations by modified midpoint method is considered. This method transforms the system of linear Fredholm integral equations into a system of linear algebraic equations that can be solved easily with any of the usual methods. Finally, some illustrative examples are presented to test this method and the results reveal that this method is very effective and convenient by comparison with exact solution and with other numerical methods such as midpoint method, trapezoidal method, Simpson's method and modified trapezoidal method. All results are computed by using a programs written in Matlab R2012b.

Published in American Journal of Applied Mathematics (Volume 2, Issue 5)
DOI 10.11648/j.ajam.20140205.12
Page(s) 155-161
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), 2014. Published by Science Publishing Group

Keywords

System of Fredholm Integral Equations, Modified Midpoint Method

References
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[17] S. J. Majeed, ‘‘Modified Midpoint Method For Solving Linear Fredholm Integral Equations Of The Second Kind ", J. Al Qadisiya for computers Science and mathematics, Vol.3 (1), 2011, pp.28-46.
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Cite This Article
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    Salam Jasim Majeed. (2014). Modified Midpoint Method for Solving System of Linear Fredholm Integral Equations of the Second Kind. American Journal of Applied Mathematics, 2(5), 155-161. https://doi.org/10.11648/j.ajam.20140205.12

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    ACS Style

    Salam Jasim Majeed. Modified Midpoint Method for Solving System of Linear Fredholm Integral Equations of the Second Kind. Am. J. Appl. Math. 2014, 2(5), 155-161. doi: 10.11648/j.ajam.20140205.12

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    AMA Style

    Salam Jasim Majeed. Modified Midpoint Method for Solving System of Linear Fredholm Integral Equations of the Second Kind. Am J Appl Math. 2014;2(5):155-161. doi: 10.11648/j.ajam.20140205.12

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  • @article{10.11648/j.ajam.20140205.12,
      author = {Salam Jasim Majeed},
      title = {Modified Midpoint Method for Solving System of Linear Fredholm Integral Equations of the Second Kind},
      journal = {American Journal of Applied Mathematics},
      volume = {2},
      number = {5},
      pages = {155-161},
      doi = {10.11648/j.ajam.20140205.12},
      url = {https://doi.org/10.11648/j.ajam.20140205.12},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajam.20140205.12},
      abstract = {In this paper numerical solution to system of linear Fredholm integral equations by modified midpoint method is considered. This method transforms the system of linear Fredholm integral equations into a system of linear algebraic equations that can be solved easily with any of the usual methods. Finally, some illustrative examples are presented to test this method and the results reveal that this method is very effective and convenient by comparison with exact solution and with other numerical methods such as midpoint method, trapezoidal method, Simpson's method and modified trapezoidal method. All results are computed by using a programs written in Matlab R2012b.},
     year = {2014}
    }
    

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    T1  - Modified Midpoint Method for Solving System of Linear Fredholm Integral Equations of the Second Kind
    AU  - Salam Jasim Majeed
    Y1  - 2014/09/30
    PY  - 2014
    N1  - https://doi.org/10.11648/j.ajam.20140205.12
    DO  - 10.11648/j.ajam.20140205.12
    T2  - American Journal of Applied Mathematics
    JF  - American Journal of Applied Mathematics
    JO  - American Journal of Applied Mathematics
    SP  - 155
    EP  - 161
    PB  - Science Publishing Group
    SN  - 2330-006X
    UR  - https://doi.org/10.11648/j.ajam.20140205.12
    AB  - In this paper numerical solution to system of linear Fredholm integral equations by modified midpoint method is considered. This method transforms the system of linear Fredholm integral equations into a system of linear algebraic equations that can be solved easily with any of the usual methods. Finally, some illustrative examples are presented to test this method and the results reveal that this method is very effective and convenient by comparison with exact solution and with other numerical methods such as midpoint method, trapezoidal method, Simpson's method and modified trapezoidal method. All results are computed by using a programs written in Matlab R2012b.
    VL  - 2
    IS  - 5
    ER  - 

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Author Information
  • Department of Physics, College of Science, University of Thi-Qar, Thi-Qar, Iraq

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