Titlebook: Essential Perturbation Methods; C.Y. Wang Book 2023 The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer N

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2690-0300 s resulting in normalized perturbation equations.Contains pr.This book presents the modeling and scaling of physical problems, which result in normalized perturbation equations. This is followed by solving perturbation problems and evaluating the results.? The author?refines perturbation methods int

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https://doi.org/10.1057/9780230289802nt of location or time. A knowledge of the phase plane is helpful for choosing the proper perturbation method. For example, the perturbation method used is different when the solution is periodic or almost periodic. Other applications include the possible existence of boundary layers, transition layers, etc., for singular differential equations.

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Book 2023iques. This book is ideal and beneficial for practicing?scientists?and engineers who need to understand and apply perturbation methods to difficult problems with applications in mathematics, engineering, and biology.? Discussions on new perspectives, simpler presentations on convergence, and the expansion of integrals are included.??.?. .? ??.

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Improving Asymptotic Series,d in this chapter may be used to extract more accuracy from the perturbation series without solving for further higher order terms analytically. Rigorous convergence proofs are absent for these methods.

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GIBE

The Role of Knowledge in Conflict Resolutiond in this chapter may be used to extract more accuracy from the perturbation series without solving for further higher order terms analytically. Rigorous convergence proofs are absent for these methods.

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