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Section B

A wavelet Petrov–Galerkin method for solving integro-differential equations

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Pages 1572-1590 | Received 16 Apr 2007, Accepted 31 Dec 2007, Published online: 23 Jul 2009

References

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  • Atkinson , K. E. 1997 . The Numerical Solution of Integral Equations of the Second Kind , UK : Cambridge University Press .
  • Ayad , A. 1996 . Spline approximation for first-order Fredholm integro-differential equation . Studia Univ. Babes-Bolyai, Math , 41 ( 3 ) : 1 – 8 .
  • Chen , Z. and Xu , Y. 1998 . The Petrov–Galerkin and iterated Petrov–Galerkin methods for second kind integral equations . SIAM J. Numer. Anal , 35 ( 1 ) : 406 – 434 .
  • Kreyszing , E. 1978 . Introductory Functional Analysis with Applications , Canada : John Wiley & Sons Inc .
  • Lakestani , M. , Razzaghi , M. and Dehghan , M. 2006 . Semiorthogonal spline wavelets approximation for Fredholm integro-differential equations . Math. Probl. Eng , 2006 : 1 – 12 . Article ID 96184
  • Maleknejad , K. and Karami , M. 2005 . Using the WPG method for solving integral equations of the second kind . Appl. Math. Comput , 166 : 123 – 130 .

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