LUCAS POLYNOMIAL SOLUTION FOR NEUTRAL DIFFERENTIALEQUATIONS WITH PROPORTIONAL DELAYS

Abstract

This paper proposes a combined operational matrix approach based on Lu-cas and Taylor polynomials for the solution of neutral type differential equations withproportional delays. The advantage of the proposed method is the ease of its applica-tion. The method facilitates the solution of the given problem by reducing it to a matrixequation. Illustrative examples are validated by means of absolute errors. Residual errorestimation is presented to improve the solutions.Presented in graphs and tables theresults are compared with the existing methods in literature.