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Original Articles

Legendre solutions of integral equations with logarithmic kernels

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Pages 53-63 | Received 02 Aug 2006, Accepted 24 Feb 2007, Published online: 31 Dec 2007

References

  • Khater , A. H. , Shamardan , A. B. , Callebaut , D. K. and Sakran , M. R.A. Numerical solutions of integral and integro-differential equations of mathematical physics using Legendre polynomials . Journal of Computational Physics , submitted
  • Khater , A. H. , Shamardan , A. B. , Callebaut , D. K. and Sakran , M. R.A. Chebyshev solution of integral equations with logarithmic kernel . In preparation
  • Brunner , H. , Pedas , A. and Vainikko , G. 1999 . The piecewise polynomial collocation method for nonlinear weakly singular Volterra equations . Mathematics of Computation , 68 : 1079 – 1095 .
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  • Pedas , A. and Vainikko , G. 1997 . Superconvergence of piecewise polynomial collocations for nonlinear weakly singular integral equations . Journal of Integral Equations Appl , 9 : 379 – 406 .
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