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Chebyshev Wavelet Method for Numerical Solution of Fredholm Integral Equations of the First Kind

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  • Hojatollah Adibi
  • Pouria Assari

Abstract

A computational method for solving Fredholm integral equations of the first kind is presented. The method utilizes Chebyshev wavelets constructed on the unit interval as basis in Galerkin method and reduces solving the integral equation to solving a system of algebraic equations. The properties of Chebyshev wavelets are used to make the wavelet coefficient matrices sparse which eventually leads to the sparsity of the coefficients matrix of obtained system. Finally, numerical examples are presented to show the validity and efficiency of the technique.

Suggested Citation

  • Hojatollah Adibi & Pouria Assari, 2010. "Chebyshev Wavelet Method for Numerical Solution of Fredholm Integral Equations of the First Kind," Mathematical Problems in Engineering, Hindawi, vol. 2010, pages 1-17, June.
    • Handle: RePEc:hin:jnlmpe:138408
    DOI: 10.1155/2010/138408
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    Cited by:

    1. Thanon Korkiatsakul & Sanoe Koonprasert & Khomsan Neamprem, 2019. "New Analytical Solutions for Time-Fractional Kolmogorov-Petrovsky-Piskunov Equation with Variety of Initial Boundary Conditions," Mathematics, MDPI, vol. 7(9), pages 1-20, September.

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