Author/Authors :
GUMGUM, S Department of Mathematics - Izmir University of Economics - Izmir, Turkey , BAYKUSSAVASANERIL, N Izmir Vocational School - Dokuz Eylul University - Izmir, Turkey , KURKCU, O. K Department of Mathematics - Izmir University of Economics - Izmir, Turkey , SEZER, M Department of Mathematics - Celal Bayar University - Manisa, Turkey
Abstract :
This paper proposes a combined operational matrix approach based on Lucas and Taylor polynomials for the solution of neutral type differential equations with
proportional delays. The advantage of the proposed method is the ease of its application. The method facilitates the solution of the given problem by reducing it to a matrix
equation. Illustrative examples are validated by means of absolute errors. Residual error
estimation is presented to improve the solutions. Presented in graphs and tables the
results are compared with the existing methods in literature
