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

Ayşe Kurt | Zendy; Sali̇h Yalçinbaş | Zendy; Mehmet Sezer | Zendy

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

Author(s) -

Ayşe Kurt,

Sali̇h Yalçinbaş,

Mehmet Sezer

Publication year - 2013

Publication title -

international journal of mathematics and mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 39

eISSN - 1687-0425

pISSN - 0161-1712

DOI - 10.1155/2013/486013

Subject(s) - mathematics , collocation method , fibonacci number , collocation (remote sensing) , convergence (economics) , mathematical analysis , differential equation , fredholm integral equation , order (exchange) , fredholm theory , orthogonal collocation , integral equation , ordinary differential equation , discrete mathematics , computer science , machine learning , finance , economic growth , economics

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

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