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Chebyshev Polynomial Bases for Solving Linear Fredholm-Volterra Integro-Delay-Differential-Difference Equations

Yalçın Öztürk, Mustafa Gülsu, Mehmet Sezer


Numerical solution ofmixed linear integro-delay-differential-difference equation is presented using Chebyshev collocation method. The aim of this article is to present an efficient numerical procedure for solving mixed linear integro delay differential-difference equations. Our method depends mainly on a Chebyshev expansion approach. This method transforms mixed linear integro-dealy-differential-difference equations and the given conditions into a matrix equation which corresponds to a system of linear algebraic equations. The reliability and efficiency of the proposed scheme are demonstrated by some numerical experiments and performed on the computer algebraic system Maple 9.


mixed linear integro-delay-differential-difference equations, Chebyshev polynomials and series, approximation methods, collocation points.

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