ON THE NUMERICAL SOLUTIONS OF INTEGRAL EQUATION OF MIXED TYPE

  • Abdou, Mohamed A. (Department of Mathematics, Faculty of Education, Alexandria University) ;
  • Mohamed, Khamis I. (Department of Mathematics, Faculty of Science, South Valley University)
  • Published : 2003.05.01

Abstract

Toeplitz matrix method and the product Nystrom method are described for mixed Fredholm-Volterra singular integral equation of the second kind with Carleman Kernel and logarithmic kernel. The results are compared with the exact solution of the integral equation. The error of each method is calculated.

Keywords

References

  1. J. Comp. Appl. Math v.138 Integral equation of mixed type and integrals of orthogonal polynomials M.A. Abdou
  2. Appl. Math. Comp v.125 Fredholm-Volterra integral equation of the first kind and contact problem M.A. Abdou
  3. Appl. Math. Comp.(to appear) Fredholm-Volterra integral equation with singular kernel M.A. Abdou
  4. Korean J. Comp. Appl. Math v.9 no.1 On asymptotic method in contact problems of Fredholm integral equation of the second kind M.A. Abdou
  5. Korean J. Comp. Appl. Math. v.7 no.3 Integral equation with Cauchy kernel in the contact problem M.A. Abdou
  6. Periodica Math. Hung v.28 no.2 Krein's method with certiain singular kernel for solving the integral equations of the first kind M.A. Abdou;N.Y. Ezz-Eldin
  7. Korean J. comp. Appl. Math. v.7 no.1 Fredholm integral equation with singular kernel M.A, Abdou;S.A. hassan
  8. PUMA v.5 no.3 Boundary value of contact problem M.A. Abdou;S.A. Hassan
  9. Korean J. Comp. Appl. Math. v.5 no.2 A numerical method for solving the Fredholm integral equation of the second kind M.A. Abdou;S.A. Hassan;M.A. Darwish
  10. Appl. Math. Comp. (to appear) Fredholm-Bolterra integral equation in contact problem M.A. Abdou;O.L. Moustafa
  11. Appl. Math. Mech. v.23 Plane contact problem of the theory of creef N.K. Artiunian
  12. The Numerical Solution of Integral Equations of the Second Kind K.E. Atkinson
  13. A Survey of Numerical Methods for the Solution of Fredholm Integral Equations of the Second Kind K.E. Atkinson
  14. Treatment of Integral Equations by Numerical Methods Christopher;T.H. Baker
  15. J. Quart. Appl. Math. v.L111 4 Integral equation of the first kind in plane elasticity C. Constanda
  16. Computational Methods for Integral Equations L.M. Delves;J.L. Mohamed
  17. Methods of Singular Integral Equations A. Dzhuraev
  18. Le Matematiche v.LV Fredholm-Bolterra integral equation of the first kind with potential kernel M.A. Fahmy;M.A. Abdou;E.I. deebs
  19. J. Quart Appl. Math v.L11 2 A Galerkin solution to a regularized Cauchy singular integro-differential equation J.I. Frankel
  20. Numerical Solution of Integral Equations M.A. Golberg
  21. Integral Equations Methods C.D. Green
  22. Linear Integral Equations Theory and Technique R.P. Kanwal
  23. Singular Integral Equations N.I. Muskhelishvili