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

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2013

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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. © 2013 Elsevier Inc.

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Keywords

Differential equations , Error analysis , Polynomials , Analysis techniques , Collocation method , Collocation points , Exponential approximations , Exponential polynomials , Pantograph equation , Residual correction , Residual functions , Pantographs

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http://akademikarsiv.cbu.edu.tr:4000/handle/123456789/17114

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