[HTML][HTML] An exponential approximation for solutions of generalized pantograph-delay differential equations

Ş Yüzbaşı, M Sezer - Applied Mathematical Modelling, 2013 - Elsevier
Applied Mathematical Modelling, 2013Elsevier
In this paper, a new matrix method based on exponential polynomials and collocation points
is proposed for solutions of pantograph equations with linear functional arguments under the
mixed conditions. Also, an error analysis technique based on residual function is developed
for the suggested method. Some examples are given to demonstrate the validity and
applicability of the method and the comparisons are made with existing results.
Abstract
In this paper, a new matrix method based on exponential polynomials and collocation points is proposed for solutions of pantograph equations with linear functional arguments under the mixed conditions. Also, an error analysis technique based on residual function is developed for the suggested method. Some examples are given to demonstrate the validity and applicability of the method and the comparisons are made with existing results.
Elsevier
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