A new collocation method for solution of mixed linear integro-differential-difference equations

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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. © 2010 Elsevier Inc. All rights reserved.

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Gülsu, M., Öztürk, Y., & Sezer, M. (2010). A new collocation method for solution of mixed linear integro-differential-difference equations. Applied Mathematics and Computation, 216(7), 2183–2198. https://doi.org/10.1016/j.amc.2010.03.054

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