THE APPROXIMATE SOLUTION OF HIGH-ORDER LINEAR DELAY EQUATIONS WITH VARIABLE COEFFICIENTS IN TERMS OF SHIFTED CHEBYSHEV POLYNOMIALS

Abstract

This paper presents a numerical method for the approximate solution of m.th-order linear delay equations with variable coefficients under the mixed conditions in terms of shifted Chebyshev polynomials. The technique we have used is an improved Chebyshev collocation method. In addition, examples that illustrate the pertinent features of the method are presented and the results of study are discussed.