A class of boundary value problems for third-order differential equation with a turning point

Abstract

A class of boundary value problems for a third-order differential equation with a turning point is considered. Using the method of multiple scales and others, the uniformly valid asymptotic expansion of solution for the boundary value problem is constructed.

Parameter Uniform Numerical Method for Third Order Singularly Perturbed Turning Point Problems Exhibiting Boundary Layers

“…Motivated by the works of Leung [2], Jian-ping and Zong-chi [4], Mo and Wen [9] and Natesan et al [15], we consider the following boundary value problem for singularly perturbed third order differential equation with a turning point at x = 0:…”

“…In [2,4] asymptotic expansion of solution is given for a third order singularly perturbed turning point problems. Existence of solution for third order semi linear differential equation with turning point is proved in [9]. In ( [19], p. 5), Wasow have discussed a modified form of Orr-Summerfeld equation which is a fourth order singularly perturbed turning point problem.…”