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About this book
The Adomian decomposition method enables the accurate and efficient analytic solution of nonlinear ordinary or partial differential equations without the need to resort to linearization or perturbation approaches. It unifies the treatment of linear and nonlinear, ordinary or partial differential equations, or systems of such equations, into a single basic method, which is applicable to both initial and boundary-value problems.
This volume deals with the application of this method to many problems of physics, including some frontier problems which have previously required much more computationally-intensive approaches.
The opening chapters deal with various fundamental aspects of the decomposition method. Subsequent chapters deal with the application of the method to nonlinear oscillatory systems in physics, the Duffing equation, boundary-value problems with closed irregular contours or surfaces, and other frontier areas. The potential application of this method to a wide range of problems in diverse disciplines such as biology, hydrology, semiconductor physics, wave propagation, etc., is highlighted.
For researchers and graduate students of physics, applied mathematics and engineering, whose work involves mathematical modelling and the quantitative solution of systems of equations.
This volume deals with the application of this method to many problems of physics, including some frontier problems which have previously required much more computationally-intensive approaches.
The opening chapters deal with various fundamental aspects of the decomposition method. Subsequent chapters deal with the application of the method to nonlinear oscillatory systems in physics, the Duffing equation, boundary-value problems with closed irregular contours or surfaces, and other frontier areas. The potential application of this method to a wide range of problems in diverse disciplines such as biology, hydrology, semiconductor physics, wave propagation, etc., is highlighted.
For researchers and graduate students of physics, applied mathematics and engineering, whose work involves mathematical modelling and the quantitative solution of systems of equations.
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Keywords
Table of contents (14 chapters)
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Front Matter
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Back Matter
Reviews
`I recommend Adomian's new book to all researchers in the area of mathematical modeling and solving complex dynamical systems.'
Foundations of Physics, 1994
Foundations of Physics, 1994
Authors and Affiliations
Bibliographic Information
Book Title: Solving Frontier Problems of Physics: The Decomposition Method
Authors: George Adomian
Series Title: Fundamental Theories of Physics
DOI: https://doi.org/10.1007/978-94-015-8289-6
Publisher: Springer Dordrecht
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eBook Packages: Springer Book Archive
Copyright Information: Springer Science+Business Media Dordrecht 1994
Hardcover ISBN: 978-0-7923-2644-1Published: 31 December 1993
Softcover ISBN: 978-90-481-4352-8Published: 09 December 2010
eBook ISBN: 978-94-015-8289-6Published: 29 June 2013
Series ISSN: 0168-1222
Series E-ISSN: 2365-6425
Edition Number: 1
Number of Pages: XIV, 354
Topics: Theoretical, Mathematical and Computational Physics, Partial Differential Equations, Ordinary Differential Equations, Applications of Mathematics