M. Van Dyke, “Analysis and Improvement of Perturbation Series,” Mathematics & Physical Sciences, Vol. 27, No. 4, 1974, pp. 423-456. doi:10.1093/qjmam/27.4.423
has been cited by the following article:
TITLE: Semi Numerical Solution for a Boundary Value Problem
AUTHORS: N.P. Pai, N. N. Katagi, Krishna B. Chavaraddi
KEYWORDS: Computer Extended Series; Domb-Sykes Plot; Pade’ Approximants; Polynomial Coefficients
JOURNAL NAME: American Journal of Computational Mathematics, Vol.3 No.1, March 27, 2013
ABSTRACT: The flow of viscous incompressible fluid through a tube is considered. The similarity transformation is used to reduce the governing equations into nonlinear ordinary differential equation. The solution procedure includes application of long series analysis with polynomial coefficients. The series representing physical parameters ( ) reveal qualitative features which are comparable to pure numerical results. The analysis enables in extending region of validity. A complete description of the solutions is presented.