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Approximate Analytical Methods for Solving Ordinary Differential Equations
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Bibliographic Detail
Publisher Chapman & Hall
Publication date November 14, 2014
Pages 188
Binding Hardcover
Book category Adult Non-Fiction
ISBN-13 9781466588158
ISBN-10 1466588152
Dimensions 0.75 by 6.50 by 9.50 in.
Original list price $89.95
Summaries and Reviews
Amazon.com description: Product Description:

Approximate Analytical Methods for Solving Ordinary Differential Equations (ODEs) is the first book to present all of the available approximate methods for solving ODEs, eliminating the need to wade through multiple books and articles. It covers both well-established techniques and recently developed procedures, including the classical series solution method, diverse perturbation methods, pioneering asymptotic methods, and the latest homotopy methods.

The book is suitable not only for mathematicians and engineers but also for biologists, physicists, and economists. It gives a complete description of the methods without going deep into rigorous mathematical aspects. Detailed examples illustrate the application of the methods to solve real-world problems.

The authors introduce the classical power series method for solving differential equations before moving on to asymptotic methods. They next show how perturbation methods are used to understand physical phenomena whose mathematical formulation involves a perturbation parameter and explain how the multiple-scale technique solves problems whose solution cannot be completely described on a single timescale. They then describe the Wentzel, Kramers, and Brillown (WKB) method that helps solve both problems that oscillate rapidly and problems that have a sudden change in the behavior of the solution function at a point in the interval. The book concludes with recent nonperturbation methods that provide solutions to a much wider class of problems and recent analytical methods based on the concept of homotopy of topology.



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Hardcover
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With T. K. V. Iyengar, T. Raja Rani | from Chapman & Hall (November 14, 2014)
9781466588158 | details & prices | 188 pages | 6.50 × 9.50 × 0.75 in. | 0.95 lbs | List price $89.95
About: Approximate Analytical Methods for Solving Ordinary Differential Equations (ODEs) is the first book to present all of the available approximate methods for solving ODEs, eliminating the need to wade through multiple books and articles.

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