Solving Frontier Problems of Physics: The Decomposition Method - G. Adomian

Solving Frontier Problems of Physics: The Decomposition Method

(Autor)

Buch | Hardcover
354 Seiten
1993
Springer (Verlag)
978-0-7923-2644-1 (ISBN)
117,69 inkl. MwSt
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.

1 On Modelling Physical Phenomena.- 2 The Decomposition Method for Ordinary Differential Equations.- 3 The Decomposition Method in Several Dimensions.- 4 Double Decomposition.- 5 Modified Decomposition.- 6 Applications of Modified Decomposition.- 7 Decomposition Solutions for Neumann Boundary Conditions.- 8 Integral Boundary Conditions.- 9 Boundary Conditions at Infinity.- 10 Integral Equations.- 11 Nonlinear Oscillations in Physical Systems.- 12 Solution of the Duffing Equation.- 13 Boundary-Value Problems with Closed Irregular Contours or Surfaces.- 14 Applications in Physics.- Appendix I Padé and Shanks Transforms.- Appendix II On Staggered Summation of Double Decomposition Series.- Appendix III Cauchy Products of Infinite Series.

Erscheint lt. Verlag 31.12.1993
Reihe/Serie Fundamental Theories of Physics ; 60
Zusatzinfo XIV, 354 p.
Verlagsort Dordrecht
Sprache englisch
Maße 156 x 234 mm
Themenwelt Mathematik / Informatik Mathematik Analysis
Mathematik / Informatik Mathematik Angewandte Mathematik
Naturwissenschaften Physik / Astronomie Allgemeines / Lexika
Naturwissenschaften Physik / Astronomie Theoretische Physik
ISBN-10 0-7923-2644-X / 079232644X
ISBN-13 978-0-7923-2644-1 / 9780792326441
Zustand Neuware
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