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Haar Wavelet Method for the System of Integral Equations

Author

Listed:
  • Hassan A. Zedan
  • Eman Alaidarous

Abstract

We employed the Haar wavelet method to find numerical solution of the system of Fredholm integral equations (SFIEs) and the system of Volterra integral equations (SVIEs). Five test problems, for which the exact solution is known, are considered. Comparison of the results is obtained by the Haar wavelet method with the exact solution.

Suggested Citation

  • Hassan A. Zedan & Eman Alaidarous, 2014. "Haar Wavelet Method for the System of Integral Equations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
  • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:418909
    DOI: 10.1155/2014/418909
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    References listed on IDEAS

    as
    1. Hassan A. Zedan & Eman El Adrous, 2012. "The Application of the Homotopy Perturbation Method and the Homotopy Analysis Method to the Generalized Zakharov Equations," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-19, May.
    2. S. Saha Ray & P. K. Sahu, 2013. "Numerical Methods for Solving Fredholm Integral Equations of Second Kind," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    3. Hassan A. Zedan & Eman El Adrous, 2012. "The Application of the Homotopy Perturbation Method and the Homotopy Analysis Method to the Generalized Zakharov Equations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    4. S. Saha Ray & P. K. Sahu, 2013. "Numerical Methods for Solving Fredholm Integral Equations of Second Kind," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-17, December.
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