Approximation Methods in Science and Engineering

Approximation Methods in Science and Engineering Front Cover
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553 pages

Book Description

Approximation Methods in and Science covers fundamental and advanced topics in three areas: Dimensional , Continued Fractions, and Stability of the Mathieu Differential Equation. Throughout the book, a strong emphasis is given to concepts and methods used in everyday calculations. Dimensional is a crucial need for every and scientist to be able to do experiments on scaled 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 method to study the stability of parametric differential equations that generates much better approximate solutions.

Book Details

  • Title: Approximation Methods in Science and Engineering
  • Author:
  • Length: 553 pages
  • Edition: 1st ed. 2020
  • Language: English
  • Publisher:
  • Publication Date: 2020-04-11
  • ISBN-10: 1071604783
  • ISBN-13: 9781071604786
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