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Original Articles

The decomposition method for solving a second kind fredholm integral equation with a logarithmic kernel

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Pages 103-110 | Received 28 Mar 1995, Published online: 19 Mar 2007

References

  • Adomian , G. 1990 . A review of the decomposition method and some recent results for nonlinear equation . Math. Comput. Modelling , 13 ( 7 ) : 17 – 43 .
  • Adomian , G. 1989 . Nonlinear Stochastic Systems . Theory and Applications to Physics , 13 ( 7 )
  • Cherruault , Y. , Saccomandi , G. and Some , B. 1992 . New results for convergence of Adomian's method applied to integral equations . Mathl. Comput. Modelling , 16 ( 2 ) : 85 – 93 .
  • Kress , R. 1989 . Linear Integral Equations Springer-Verlag, Berlin
  • Kress , R. and Spassov , W. T. 1983 . On the condition number of boundary integral operators for the exterior Dirichlet problem for the Helmholtz equation . Numer. Math , 42 : 77 – 95 .
  • Yan , Y. 1994 . A fast numerical solution for a second kind boundary integral equation with a logarithmic kernel . SI AM J. Numer. Anal , 31 ( 2 ) : 477 – 498 .
  • Some , B. 1993 . Some recent numerical methods for solving nonlinear Hammerstein integral equations . Mathl.Comput. Modelling , 18 ( 9 ) : 55 – 62 .
  • Wazwaz , A. M. 1995 . The decomposition method for approximate solution of the Goursat problem . Journal of Applied Mathematics and Computation , 18 ( 9 )

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