Overview

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.

Full Product Details

Author:   G. Adomian
Publisher:   Springer
Imprint:   Springer
Edition:   Softcover reprint of hardcover 1st ed. 1994
Volume:   60
Dimensions:   Width: 15.50cm , Height: 1.90cm , Length: 23.50cm
Weight:   0.569kg
ISBN:  

9789048143528

ISBN 10:   9048143527
Pages:   354
Publication Date:   09 December 2010
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Out of stock  
The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available.

Table of Contents

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.

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

'I recommend Adomian's new book to all researchers in the area of mathematical modeling and solving complex dynamical systems.' Foundations of Physics, 1994

`I recommend Adomian's new book to all researchers in the area of mathematical modeling and solving complex dynamical systems.' Foundations of Physics, 1994

'I recommend Adomian's new book to all researchers in the area of mathematical modeling and solving complex dynamical systems.' Foundations of Physics, 1994

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