Abstract and Applied Analysis

Exponential Collocation Method for Solutions of Singularly Perturbed Delay Differential Equations

Şuayip Yüzbaşı and Mehmet Sezer

Full-text: Open access

Abstract

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.

Article information

Source
Abstr. Appl. Anal., Volume 2013 (2013), Article ID 493204, 9 pages.

Dates
First available in Project Euclid: 27 February 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1393512015

Digital Object Identifier
doi:10.1155/2013/493204

Mathematical Reviews number (MathSciNet)
MR3095347

Zentralblatt MATH identifier
1291.65250

Citation

Yüzbaşı, Şuayip; Sezer, Mehmet. Exponential Collocation Method for Solutions of Singularly Perturbed Delay Differential Equations. Abstr. Appl. Anal. 2013 (2013), Article ID 493204, 9 pages. doi:10.1155/2013/493204. https://projecteuclid.org/euclid.aaa/1393512015


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