Sevin GÜMGÜMÖmür Kıvanç KÜRKÇÜNurcan BAYKU S SAVA SANER ILMehmet SEZER2024-07-242024-07-2420202146-1147http://akademikarsiv.cbu.edu.tr:4000/handle/123456789/23698This 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.engAraştırma Makalesi