A new collocation method for solution of mixed linear integro-differential-difference equations |
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Authors: | Mustafa Gülsu Yalç?n Öztürk Mehmet Sezer |
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Institution: | Department of Mathematics, Faculty of Science, Mugla University, Mugla, Turkey |
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Abstract: | Numerical solution of mixed linear integro-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-differential-difference equations. Our method depends mainly on a Chebyshev expansion approach. This method transforms mixed linear integro-differential-difference equations and the given conditions into matrix equation which corresponds to a system of linear algebraic equation. The reliability and efficiency of the proposed scheme are demonstrated by some numerical experiments and performed on the computer algebraic system Maple10. |
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Keywords: | Mixed linear integro-differential-difference equations Chebyshev polynomials and series Approximation methods Collocation points |
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