Titlebook: Approximation Methods in Science and Engineering; Reza N. Jazar Book 2020 Springer Science+Business Media, LLC, part of Springer Nature 20

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https://doi.org/10.1007/978-1-0716-0480-9Lindstad-Poincare methods; Van der Pol equation; approximation methods; differential equations; duffing

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Springer Science+Business Media, LLC, part of Springer Nature 2020

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Static Dimensional Analysisews the development of the concept of dimensions and shows how to use them in the study of physical phenomena described by mathematical equations. By studying this chapter, you will learn why and how the concept of physical dimensions have been invented and expanded, and the method of expressing the

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Dynamic Dimensional Analysisations for the most general coverage. The goals of dynamic dimensional analysis are: (1) to minimize the number of variables in analysis of a system, (2) to express the mathematical model of systems by nondimensionalized equations to get the results of the investigation to be unit and size independe

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Numerical Continued Fractionstional numbers, as well as converting a numerical series to continued fraction back and forth are the topics of this chapter. This review makes the reader ready to derive and work with solution of differential equations in continued fractions..We will show that all real numbers may be divided into r

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ermining stability chart of the Mathieu equation and reviews and compares several approximate methods for that. The book provides the energy-rate methodto study the stability of parametric differential equations that generates much better approximate solutions..978-1-0716-0480-9