A survey of numerical techniques for solving singularly perturbed ordinary differential equations

A review on singular perturbed delay differential equations

“…A survey on different asymptotic and numerical methods for solving singular perturbation problems done by Kadalbajoo and Reddy [1]. In 2002, Kadalbajoo and Patidar [2] presented another surveyonthework done by numerous researchers in the area of singular perturbation from 1984 to2000. Kadalbajoo and Patidar [3] presented are view of singularly perturbed partial differential equations in 2003.In [4] Kadalbajoo and Vikasgave brief survey on the computational techniques used to solve different classes of singular perturbation problems.…”

“…Various studies and surveys have been conducted by researchers on the development in this area. A survey on different asymptotic and numerical methods for solving ms done by Kadalbajoo and Kadalbajoo and Patidar [2] presented another surveyonthework done by numerous researchers in the area of singular perturbation from 1984 to2000.…”

Solving Third-Order Singularly Perturbed Problems: Exponentially and Polynomially Fitted Trial Functions

“…A lot of numerical methods to treat the singular perturbation problems can be seen (Bender & Orszag, 1978;Shampine & Gear, 1979;Nayfeh, 1981;Kevorkian & Cole, 1981O'Malley 1991;De Jager & Jiang, 1996), and the survey was provided by Kadalbajoo & Patidar (2002) and Kadalbajoo & Gupta (2010). For some recently developed numerical methods to solve the SPBVPs, the reader may refer (Liu, 2006a(Liu, , 2006bLiu, 2012a;Khuri & Sayfy, 2013;Dogan, Erturk & Akin, 2012).…”

Two Initial Value Problems Approach for Solving Singular Perturbations Problems

“…Awoke A, Y. N. Reddy [1,2] presented the method of Asymptotic Inner Boundary Condition and a terminal boundary condition for Singularly Perturbed Two-Point Boundary value Problems. The papers by Kadalbajoo and Reddy [3], and Kadalbajoo and Patidar [4] give an erudite outline of the singular perturbation problems. The approach were characterized by using a terminal point, the original second order problem is divided in to two problems namely inner region and outer region problems.…”