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Fundamental Theories of Physics

Solving Frontier Problems of Physics: The Decomposition Method

Authors: Adomian, G.

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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.

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

Table of contents (14 chapters)

Table of contents (14 chapters)

Buy this book

eBook $109.00
price for USA in USD (gross)
  • ISBN 978-94-015-8289-6
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $139.99
price for USA in USD
  • ISBN 978-0-7923-2644-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $139.99
price for USA in USD
  • ISBN 978-90-481-4352-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Solving Frontier Problems of Physics: The Decomposition Method
Authors
Series Title
Fundamental Theories of Physics
Series Volume
60
Copyright
1994
Publisher
Springer Netherlands
Copyright Holder
Springer Science+Business Media Dordrecht
eBook ISBN
978-94-015-8289-6
DOI
10.1007/978-94-015-8289-6
Hardcover ISBN
978-0-7923-2644-1
Softcover ISBN
978-90-481-4352-8
Series ISSN
0168-1222
Edition Number
1
Number of Pages
XIV, 354
Topics