Exponential Collocation Method for Solutions of Singularly Perturbed Delay Differential Equations

Şuayip Yüzbaşı, Mehmet Sezer
2013 Abstract and Applied Analysis  
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
more » ... ed 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.
doi:10.1155/2013/493204 fatcat:wuopnabd55f4bhwojgky4hkxf4