Title of article
LUCAS POLYNOMIAL SOLUTION FOR NEUTRAL DIFFERENTIAL EQUATIONS WITH PROPORTIONAL DELAYS
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
Pages
11
From page
259
To page
269
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
Keywords
Neutral differential equations , Lucas and Taylor polynomials , collocation and matrix methods
Journal title
Turkish World Mathematical Society Journal of Applied and Engineering Mathematics
Serial Year
2020
Record number
2588896
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