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Fibonacci Collocation Method for Solving High-Order Linear Fredholm Integro-Differential-Difference Equations

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  • Ayşe Kurt
  • Salih Yalçınbaş
  • Mehmet Sezer

Abstract

A new collocation method based on the Fibonacci polynomials is introduced for the approximate solution of high order-linear Fredholm integro-differential-difference equations with the mixed conditions. The proposed method is analyzed to show the convergence of the method. Some further numerical experiments are carried out to demonstrate the method.

Suggested Citation

  • Ayşe Kurt & Salih Yalçınbaş & Mehmet Sezer, 2013. "Fibonacci Collocation Method for Solving High-Order Linear Fredholm Integro-Differential-Difference Equations," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2013, pages 1-9, August.
    • Handle: RePEc:hin:jijmms:486013
    DOI: 10.1155/2013/486013
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    References listed on IDEAS

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    1. M.K. Kadalbajoo & K.K. Sharma, 2002. "Numerical Analysis of Boundary-Value Problems for Singularly-Perturbed Differential-Difference Equations with Small Shifts of Mixed Type," Journal of Optimization Theory and Applications, Springer, vol. 115(1), pages 145-163, October.
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