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Applicable Analysis
An International Journal
Volume 92, 2013 - Issue 4
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Articles

Study on convergence of hybrid functions method for solution of nonlinear integral equations

S. Sohrabi Department of Mathematics, Faculty of Science, Urmia University, P.O. Box 165, Urmia, IranCorrespondence[email protected]
Pages 690-702 | Received 25 Aug 2011, Accepted 13 Oct 2011, Published online: 14 Nov 2011

References

  • Marzban , HR and Razzaghi , M . 2003 . Numerical solution of the controlled duffing oscillator by hybrid functions . Appl. Math. Comput. , 140 : 179 – 190 .
  • Razzaghi , M and Marzban , HR . 2000 . A hybrid analysis direct method in the calculus of variations . Int. J. Comput. Math. , 75 : 259 – 269 .
  • Marzban , HR , Tabrizidooz , HR and Razzaghi , M . 2008 . Hybrid functions for nonlinear initial-value problems with applications to Lane-Emden type equations . Phys. Lett. A , 372 : 5883 – 5886 .
  • Hsiao , CH . 2009 . Hybrid function method for solving Fredholm and Volterra integral equations of the second kind . J. Comput. Appl. Math. , 230 : 59 – 68 .
  • Marzban , HR and Razzaghi , M . 2004 . Optimal control of linear delay systems via hybrid of block-pulse and Legendre polynomials . J. Franklin Inst. , 341 : 279 – 293 .
  • Tavassoli Kajani , M and Hadi Vencheh , A . 2005 . Solving second kind integral equations with hybrid Chebyshev and block-pulse functions . Appl. Math. Comput. , 163 : 71 – 77 .
  • Maleknejad , K and Tavassoli Kajani , M . 2003 . Solving second kind integral equations by Galerkin methods with hybrid Legendre and block-pulse functions . Appl. Math. Comput. , 145 : 623 – 629 .
  • Asady , B , Tavassoli Kajani , M , Hadi Vencheh , A and Heydari , A . 2005 . Solving second kind integral equations with hybrid Fourier and block-pulse functions . Appl. Math. Comput. , 160 : 517 – 522 .
  • Marzban , HR and Razzaghi , M . 2006 . Solution of multi-delay systems using hybrid of block-pulse functions and Taylor series . J. Sound Vib. , 292 : 954 – 963 .
  • Rao , GP . 1983 . Piecewise Constant Orthogonal Functions and their Application to Systems and Control , New York : Springer-Verlag .
  • Stade , E . 2005 . Fourier Analysis , Hoboken , , NJ : Wiley-Interscience .
  • Spiegel , MR . 1994 . Theory and Problems of Fourier Analysis, Schaums Outline Series , New York : McGraw-Hill .
  • Saberi-Nadjafi , J and Heidari , M . 2010 . Solving nonlinear integral equations in the Urysohn form by Newton-Kantorovich-quadrature method . Comput. Math. Appl. , 60 : 2058 – 2065 .
  • Babolian , E and Shahsavaran , A . 2009 . Numerical solution of nonlinear Fredholm integral equations of the second kind using Haar wavelets . J. Comput. Appl. Math. , 225 : 89 – 95 .
  • Mahmoudi , Y . 2005 . Wavelet Galerkin method for numerical solution of nonlinear integral equation . Appl. Math. Comput. , 167 : 1119 – 1129 .
  • Maleknejad , K , Sohrabi , S and Rostami , Y . 2007 . Numerical solution of nonlinear Volterra integral equations of the second kind by using Chebyshev polynomials . Appl. Math. Comput. , 188 : 123 – 128 .
  • Delves , LM and Mohamed , JL . 1985 . Computational Methods for Integral Equations , Cambridge : Cambridge University Press .

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