Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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AN AUTOMATIC AUGMENTED GALERKIN METHOD FOR SINGULAR INTEGRAL EQUATIONS WITH HILBERT KERNEL

  • Abbasbandy, S. (Department of Mathematics, Imam Khomeini International University) ;
  • Babolian, E. (Institute of Mathematics, Teacher Training University)
  • Published : 2001.05.01

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Abstract

In [1, 2], described a Chebyshev series method for the numerical solution of integral equations with three automatic algorithms for computing tow regularization parameters, C/sub f/ and r. Here we describe a Fourier series expansion method for a class singular integral equations with Hilbert kernel and constant coefficients with using a new automatic algorithm.

Keywords

References

  1. ACTA Math. Sci.(English Ed.) v.17 no.1 Automatic Augmented Galerkin Algorithms for Fredholm Intergral Equations of the First Kind S.Abbasbandy;E.Babolian
  2. J. Inst. Maths. Applics. v.24 An Augmented Galerkin Method for First Kind Fredholm Equations E.Babolian;L.M.Delves
  3. Chinese J. Num. Math. & Appl v.11;2 On the Numerical Solution for Singular Integral Equations with Hilbert Kernel Du Jin-Yuan
  4. Bit v.23 A Natural Interpolation Formula for the Numerical Solution of Singular Integral Equations with Hilbert Kernel N.I.Ioakimidis
  5. Fourier Series G.P.Tolstov
  6. Integral Equations F.G.Tricomi