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Title: Alternative Methods of Regular and Singular Perturbation Problems
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.  more » « less
Award ID(s):
1839895
PAR ID:
10649596
Author(s) / Creator(s):
; ;
Publisher / Repository:
Scientific Research
Date Published:
Journal Name:
Applied Mathematics
Volume:
15
Issue:
10
ISSN:
2152-7385
Page Range / eLocation ID:
687 to 708
Subject(s) / Keyword(s):
Perturbation, Regular Perturbation, Singular Perturbation, Asymptotic Expansion, Matched Asymptotic, Strained Coordinates, Multiple Scales
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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