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International Journal of Computer Mathematics Volume 84, 2007 - Issue 4
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Original Articles

A Taylor polynomial approach for solving high-order linear Fredholm integro-differential equations in the most general form

Ayşegül Akyüz-Daşcioğlu Department of Mathematics, Faculty of Science, Pamukkale University, Denizli, TurkeyCorrespondence[email protected]
&
Mehmet Sezer Department of Mathematics, Faculty of Science, Muğla University, Muğla, Turkey
Pages 527-539 | Received 15 Nov 2004, Accepted 16 Jan 2007, Published online: 21 May 2007

References

  • Sezer , M. 1994 . Taylor polynomial solution of Volterra intregral equations . International Journal of Mathematical Education for Science and Technology , 25 : 625 – 633 .
  • Sezer , M. 1996 . A method for the approximate solution of the second order linear differential equations in terms of Taylor polynomials . International Journal of Mathematical Education for Science and Technology , 27 : 821 – 834 .
  • Sezer , M. and Kaynak , M. Chebyshev polynomial solutions of linear differential equations . International Journal of Mathematical Education for Science and Technology , 27 607 – 618 .
  • Nas , Ş , Yalçınbaş , S. and Sezer , M. 2000 . A Taylor polynomial approach for solving high-order linear Fredholm integro-differential equations . International Journal of Mathematical Education for Science and Technology , 31 : 213 – 225 .
  • Yalçınbaç , S. and Sezer , M. 2000 . The approximate solution of high- order linear Volterra–Fredholm integro-differential equations in terms of Taylor polynomials . Applied Mathematics and Computation , 112 : 291 – 308 .
  • Akyüz , A. and Sezer , M. 1999 . A Chebyshev collocation method for the solution of linear integro-differential equations . International Journal of Computer Mathematics , 72 : 491 – 507 .
  • Karamete , A. and Sezer , M. 2002 . A Taylor collocation method for the solution of linear integro-differential equations . International Journal of Computer Mathematics , 79 : 987 – 1000 .
  • Maleknejad , K. and Mahmoudi , Y. Taylor polynomial solution of high-order nonlinear Volterra–Fredholm integro-differential equations . Applied Mathematics and Computation , 145 641 – 653 .

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