Fredholm-Volterra integro-differential equations

A Chebyshev collocation method, an expansion method. has been proposed in order to solve the systems of higher-order linear integro-differential equations. This method transforms the IDE system and the given conditions into the matrix equations via Chebyshev collocation points. By merging these results, a new system which corresponds to a system of linear algebraic equations is obtained. The solution of this system yields the Chebyshev coefficients of the solution function. Some numerical results are also given to illustrate the efficiency of the method. Moreover, this method is valid for the systems of differential and integral equations. (c) 2005 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.C1 Pamukkale Univ, Fac Sci, Dept Math, Denizli, Turkey.Mugla Univ, Fac Sci, Dept Math, Mugla, Turkey