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Simmonds, J.G. and Mann, Jr. (1997) A First Look at Perturbation Theory. Dover Publications.

has been cited by the following article:

• TITLE: Alternative Methods of Regular and Singular Perturbation Problems

  AUTHORS: Boampong Asare, Manohar Sah, Ram Krishna Hona

  KEYWORDS: Perturbation, Regular Perturbation, Singular Perturbation, Asymptotic Expansion, Matched Asymptotic, Strained Coordinates, Multiple Scales

  JOURNAL NAME: Applied Mathematics, Vol.15 No.10, October 11, 2024

  ABSTRACT: Making exact approximations to solve equations distinguishes applied mathematicians from pure mathematicians, physicists, and engineers. Perturbation problems, both regular and singular, are pervasive in diverse fields of applied mathematics and engineering. This research paper provides a comprehensive overview of algebraic methods for solving perturbation problems, featuring a comparative analysis of their strengths and limitations. Serving as a valuable resource for researchers and practitioners, it offers insights and guidance for tackling perturbation problems in various disciplines, facilitating the advancement of applied mathematics and engineering.