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Author: W. F. Ames
Publisher: Academic Press
ISBN: 0080955509
Category : Computers
Languages : en
Pages : 282
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Book Description
Nonlinear Ordinary Differential Equations in Transport Processes
Author: W. F. Ames
Publisher: Academic Press
ISBN: 0080955509
Category : Computers
Languages : en
Pages : 282
Get Book Here
Book Description
Nonlinear Ordinary Differential Equations in Transport Processes
Author: William F. Ames
Publisher:
ISBN:
Category : Differential equations, Nonlinear
Languages : en
Pages : 265
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Book Description
Author: William F. Ames
Publisher:
ISBN:
Category :
Languages : en
Pages : 265
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Book Description
Author: Martin Hermann
Publisher: Springer
ISBN: 813222812X
Category : Mathematics
Languages : en
Pages : 320
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Book Description
The book discusses the solutions to nonlinear ordinary differential equations (ODEs) using analytical and numerical approximation methods. Recently, analytical approximation methods have been largely used in solving linear and nonlinear lower-order ODEs. It also discusses using these methods to solve some strong nonlinear ODEs. There are two chapters devoted to solving nonlinear ODEs using numerical methods, as in practice high-dimensional systems of nonlinear ODEs that cannot be solved by analytical approximate methods are common. Moreover, it studies analytical and numerical techniques for the treatment of parameter-depending ODEs. The book explains various methods for solving nonlinear-oscillator and structural-system problems, including the energy balance method, harmonic balance method, amplitude frequency formulation, variational iteration method, homotopy perturbation method, iteration perturbation method, homotopy analysis method, simple and multiple shooting method, and the nonlinear stabilized march method. This book comprehensively investigates various new analytical and numerical approximation techniques that are used in solving nonlinear-oscillator and structural-system problems. Students often rely on the finite element method to such an extent that on graduation they have little or no knowledge of alternative methods of solving problems. To rectify this, the book introduces several new approximation techniques.
Author: William F. Ames
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Book Description
Author: William Francis Ames
Publisher:
ISBN:
Category :
Languages : en
Pages : 265
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Book Description
Author: Dominic William Jordan
Publisher: Oxford University Press, USA
ISBN: 9780198565628
Category : Mathematics
Languages : en
Pages : 564
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Book Description
This edition has been completely revised to bring it into line with current teaching, including an expansion of the material on bifurcations and chaos.
Author: Dominic Jordan
Publisher: OUP Oxford
ISBN: 0191525995
Category : Mathematics
Languages : en
Pages : 540
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Book Description
This is a thoroughly updated and expanded 4th edition of the classic text Nonlinear Ordinary Differential Equations by Dominic Jordan and Peter Smith. Including numerous worked examples and diagrams, further exercises have been incorporated into the text and answers are provided at the back of the book. Topics include phase plane analysis, nonlinear damping, small parameter expansions and singular perturbations, stability, Liapunov methods, Poincare sequences, homoclinic bifurcation and Liapunov exponents. Over 500 end-of-chapter problems are also included and as an additional resource fully-worked solutions to these are provided in the accompanying text Nonlinear Ordinary Differential Equations: Problems and Solutions, (OUP, 2007). Both texts cover a wide variety of applications whilst keeping mathematical prequisites to a minimum making these an ideal resource for students and lecturers in engineering, mathematics and the sciences.
Author: C. A. Silebi
Publisher: Elsevier
ISBN: 0080925820
Category : Technology & Engineering
Languages : en
Pages : 533
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Book Description
This book presents a methodology for the development and computer implementation of dynamic models for transport process systems. Rather than developing the general equations of transport phenomena, it develops the equations required specifically for each new example application. These equations are generally of two types: ordinary differential equations (ODEs) and partial differential equations (PDEs) for which time is an independent variable. The computer-based methodology presented is general purpose and can be applied to most applications requiring the numerical integration of initial-value ODEs/PDEs. A set of approximately two hundred applications of ODEs and PDEs developed by the authors are listed in Appendix 8.
Author:
Publisher:
ISBN:
Category : Weights and measures
Languages : en
Pages : 1164
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Book Description
