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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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發(fā)表于 2025-3-21 17:55:53 | 只看該作者 |倒序瀏覽 |閱讀模式
期刊全稱Approximation Methods in Science and Engineering
影響因子2023Reza N. Jazar
視頻videohttp://file.papertrans.cn/161/160390/160390.mp4
發(fā)行地址Covers practical model-prototype analysis and nondimensionalization of differential equations.Coverage includes approximate methods of responses of nonlinear differential equations.Discusses how to ap
圖書封面Titlebook: Approximation Methods in Science and Engineering;  Reza N. Jazar Book 2020 Springer Science+Business Media, LLC, part of Springer Nature 20
影響因子.Approximation Methods in Engineering and Science. covers fundamental and advanced topics in three areas: Dimensional Analysis, Continued Fractions, and Stability Analysis of the Mathieu Differential Equation. Throughout the book, a strong emphasis is given to concepts and methods used in everyday calculations. Dimensional analysis is a crucial need for every engineer and scientist to be able to do experiments on scaled models and use the results in real world applications. Knowing that most nonlinear equations have no analytic solution, the power series solution is assumed to be the first approach to derive an approximate solution. However, this book will show the advantages of continued fractions and provides a systematic method to develop better approximate solutions in continued fractions. It also shows the importance of determining 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..
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沙發(fā)
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Book 2020nd Stability Analysis of the Mathieu Differential Equation. Throughout the book, a strong emphasis is given to concepts and methods used in everyday calculations. Dimensional analysis is a crucial need for every engineer and scientist to be able to do experiments on scaled models and use the results
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Fridli Marti,Richard Maurer,André Stapferow to derive approximate solution of differential equations in continued fractions and introduce the advantages of continued fractions by reviewing and studying their application in science and engineering.
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發(fā)表于 2025-3-22 21:24:35 | 只看該作者
Energy-Rate Methodrate method is the most exact one. In this chapter we review this analytics-numerical method to determine stable, unstable, and periodic response of differential equations that their stability depends on relation between parameters. We will use the Mathieu equation as the principal example to develop the method.
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https://doi.org/10.1007/978-3-642-56718-6d as a base to introduce some approximate methods that are useful in stability analysis of parametric differential equations. The Mathieu equation is the simplest parametric equation that directly or indirectly appears in stability analysis of dynamic systems.
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