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Fredholm integral equation with singular kernel

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Abstract

In this paper, we solve the Fredholm integral equation of the first and second kind when the kernel takes a singular form. Also, some important relations for Chebyshev polynomial of integration are established.

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References

  1. E. V. Kovalenko,Some approximate methods of solving integral equations of mixed problems, PMM 53, (1989), 85–92.

    MATH  MathSciNet  Google Scholar 

  2. G. Bateman and A. Ergelyi (a),Higher Transcendental functions, Vol. 1, (Nauka Moscow, 1963); (b) Higher Transcendental functions, Vol. 2, (Nauka Moscow, 1973).

  3. G. Ya. Popov,Contact problems for a linearly deformable base, Kiev, Odessa (1982).

    Google Scholar 

  4. I. C. Gradchtein and I.M. Rezuk,Tables of integrals, Sums, Series and products, Nauka Moscow (1962).

    Google Scholar 

  5. L.M. Delves and J.L. Mohamed,Computational methods for integral equations, philadelpia, New york (1985).

  6. M.A. Abdou and S.A. Hassan,Boundary value of a contact problem, P.U.M.A. Vol. 5(1994), No. 3, pp. 311–316.

    MATH  MathSciNet  Google Scholar 

  7. M.A. Abdou and others,Anumerical method for solving the Fredholm integral equation of the second kind (Accepted for publication 1997) Korean J. of Comput. Appl. Math.

  8. M.A. Abdou,Fredholm integral equation of the second kind with potential kernel, J. CAM 72 (1996) 161–167.

    MATH  MathSciNet  Google Scholar 

  9. N.I. Muskhelishvili,Some basic problems of the Mathematical theory of elasticity, Nauka Moscow, 1949.

    Google Scholar 

  10. N.K. Artiunian,Plane contact problem of the theory of creef, PMM 23(1959) 901–923.

    Google Scholar 

  11. S.M. Mkhitarian,Spectral relationships for the integral operators generated by kerneal in the form of a Wener-Sonin integral and their application to contact problems, PMM 48(1984) 67–74.

    MathSciNet  Google Scholar 

  12. S.M. Mkhitarian and M.A. Abdou,On different methods for solving the integral equation of the first kind with Karlman kernel, Dakl. Akad. Nauk. Armenia (1990) 125–130.

  13. S.M. Mkhitarian and M.A. Abdou,On different methods for solving the Fredholm integral equation of the first kind with logarithmic kernel, Dakl. Akad. Nauk. Armenia 90(1990) 1–10.

    Google Scholar 

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Abdou, M.A., Hassan, S.A. Fredholm integral equation with singular kernel. Korean J. Comput. & Appl. Math 7, 223–236 (2000). https://doi.org/10.1007/BF03009940

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  • DOI: https://doi.org/10.1007/BF03009940

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