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Original Articles

Numerical solutions and their superconvergence for weakly singular integral equations with discontinuous coefficients

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Pages 104-113 | Published online: 14 Oct 2010

References

  • Kantorovitch , L.V. and Akilov , G.P. 1977 . Functional Analysis , Moscow : Nauka . (in Russian)
  • Pedas , A. and Vainikko , G. The smoothness of solutions to nonlinear weakly singular equations. . Z. Anal. Anwendungen , 13 (1994) 463 – 467 .
  • Pedas , A. and Vainikko , G. Superconvergence of piecewise polynomial collocations for nonlinear weakly singular integral equations . J. Integral Equations Appl. , 9 (1997) 4 380 – 406 .
  • Uba , P. 1988 . Smoothness of the solution of the weakly singular integral equation with discontinuous coefficient (in Russian) . Proc. Estonian Acad. Sci. Phys. Math. , 37 : 2 192 – 203 .
  • Uba , P. 1988 . Approximate solution of the weakly singular integral equation with a discontinuous coefficient (in Russian) . Acta et Comment. Univ. Tartuensis , 833 : 28 – 34 .
  • Vainikko , G. 1993 . Multidimensional weakly singular integral equations , Berlin : Springer Verlag .
  • Vainikko , G. , Pedas , A. and Uba , P. 1984 . Methods for solving weakly singular integral equations , Tartu . (in Russian)
  • Vainikko , G. and Uba , P. 1981 . A piecewise polynomial approximation to the solution of an integral equation with weakly singular kernel. I. . Austral. Math. Soc. , 22 : 431 – 438 .

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