Methods for solving singular perturbation problems arising in science and engineering

作者：Kumar Manoj; Parul^*

来源：Mathematical and Computer Modelling, 2011, 54(1-2): 556-575.

DOI：10.1016/j.mcm.2011.02.045

• Singular perturbations
• Asymptotic expansion method
• Matched asymptotic expansion method
• Multiple-scale method
• WKB method
• Poincare-Lindstedt method

Singular perturbation problems are of common occurrence in all branches of applied mathematics and engineering. These problems are encountered in various fields such as solid mechanics, fluid dynamics, quantum mechanics, optimal control, chemical reactor theory, aerodynamics, reaction-diffusion processes, geophysics etc. In this paper, the basic methods and literature for solving the singular perturbation problems have been presented with their comparative study.

• 出版日期2011-7