Exponential collocation method for solutions of singularly perturbed delay differential equations
type: Item
instance of: scholarly article
title: Exponential collocation method for solutions of singularly perturbed delay differential equations
zbMATH Open document ID: 1291.65250
DOI: 10.1155/2013/493204
author: Şuayip Yüzbaşı
author: Mehmet Sezer
published in: Abstract and Applied Analysis
publication date: 2014-06-23T00:00:00Z
review text: Summary: This paper deals with the singularly perturbed delay differential equations under boundary conditions. A numerical approximation based on the exponential functions is proposed to solve the singularly perturbed delay differential equations. By aid of the collocation points and the matrix operations, the suggested scheme converts singularly perturbed problem into a matrix equation, and this matrix equation corresponds to a system of linear algebraic equations. Also, an error analysis technique based on the residual function is introduced for the method. Four examples are considered to demonstrate the performance of the proposed scheme, and the results are discussed.
Mathematics Subject Classification ID: 65L60
Mathematics Subject Classification ID: 65L11
Mathematics Subject Classification ID: 34A45
Mathematics Subject Classification ID: 34K28
Mathematics Subject Classification ID: 65L03
zbMATH DE Number: 6306882
Wikidata QID: Q58916890
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/493204
OpenAlex ID: W2170641673
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description: scientific article; zbMATH DE number 6306882