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Approximation Methods in Science and Engineering (Hardcover, 1st ed. 2020)
Loot Price: R4,938
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Approximation Methods in Science and Engineering (Hardcover, 1st ed. 2020)
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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 method to study the stability of parametric
differential equations that generates much better approximate
solutions.
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