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Solving Frontier Problems of Physics: The Decomposition Method

  • George¬†Adomian

Part of the Fundamental Theories of Physics book series (FTPH, volume 60)

Table of contents

  1. Front Matter
    Pages i-xiii
  2. George Adomian
    Pages 1-5
  3. George Adomian
    Pages 69-114
  4. George Adomian
    Pages 115-153
  5. George Adomian
    Pages 154-189
  6. George Adomian
    Pages 196-210
  7. George Adomian
    Pages 211-223
  8. George Adomian
    Pages 224-227
  9. George Adomian
    Pages 228-235
  10. George Adomian
    Pages 236-287
  11. George Adomian
    Pages 302-337
  12. Back Matter
    Pages 338-354

About this book

Introduction

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.

Keywords

Mathematica Potential applied mathematics differential equation mathematics modeling ordinary differential equation oscillation partial differential equation physics semiconductor wave

Authors and affiliations

  • George¬†Adomian
    • 1
  1. 1.General Analytics CorporationAthensUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-015-8289-6
  • Copyright Information Springer Science+Business Media B.V. 1994
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-90-481-4352-8
  • Online ISBN 978-94-015-8289-6
  • Buy this book on publisher's site
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