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

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

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 expe...

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Main Authors: Ayşe Kurt, Salih Yalçınbaş, Mehmet Sezer
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2013/486013
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spelling doaj-9b2cff17a36c4a1593a881e01f9fee5d2020-11-24T22:58:55ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252013-01-01201310.1155/2013/486013486013Fibonacci Collocation Method for Solving High-Order Linear Fredholm Integro-Differential-Difference EquationsAyşe Kurt0Salih Yalçınbaş1Mehmet Sezer2Department of Mathematics, Celal Bayar University, Muradiye, 45140 Manisa, TurkeyDepartment of Mathematics, Celal Bayar University, Muradiye, 45140 Manisa, TurkeyDepartment of Mathematics, Celal Bayar University, Muradiye, 45140 Manisa, TurkeyA 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.http://dx.doi.org/10.1155/2013/486013
collection DOAJ
language English
format Article
sources DOAJ
author Ayşe Kurt
Salih Yalçınbaş
Mehmet Sezer
spellingShingle Ayşe Kurt
Salih Yalçınbaş
Mehmet Sezer
Fibonacci Collocation Method for Solving High-Order Linear Fredholm Integro-Differential-Difference Equations
International Journal of Mathematics and Mathematical Sciences
author_facet Ayşe Kurt
Salih Yalçınbaş
Mehmet Sezer
author_sort Ayşe Kurt
title Fibonacci Collocation Method for Solving High-Order Linear Fredholm Integro-Differential-Difference Equations
title_short Fibonacci Collocation Method for Solving High-Order Linear Fredholm Integro-Differential-Difference Equations
title_full Fibonacci Collocation Method for Solving High-Order Linear Fredholm Integro-Differential-Difference Equations
title_fullStr Fibonacci Collocation Method for Solving High-Order Linear Fredholm Integro-Differential-Difference Equations
title_full_unstemmed Fibonacci Collocation Method for Solving High-Order Linear Fredholm Integro-Differential-Difference Equations
title_sort fibonacci collocation method for solving high-order linear fredholm integro-differential-difference equations
publisher Hindawi Limited
series International Journal of Mathematics and Mathematical Sciences
issn 0161-1712
1687-0425
publishDate 2013-01-01
description 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.
url http://dx.doi.org/10.1155/2013/486013
work_keys_str_mv AT aysekurt fibonaccicollocationmethodforsolvinghighorderlinearfredholmintegrodifferentialdifferenceequations
AT salihyalcınbas fibonaccicollocationmethodforsolvinghighorderlinearfredholmintegrodifferentialdifferenceequations
AT mehmetsezer fibonaccicollocationmethodforsolvinghighorderlinearfredholmintegrodifferentialdifferenceequations
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