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

作者：Gulsu Mustafa^*; Ozturk Yalcin; Sezer Mehmet

来源：Applied Mathematics and Computation, 2010, 216(7): 2183-2198.

DOI：10.1016/j.amc.2010.03.054

• Mixed linear integro-differential-difference equations
• Chebyshev polynomials and series
• Approximation methods
• Collocation points

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.

• 出版日期2010-6-1