Nonlinear Ordinary Differential Equations: Analytical Approximation and Numerical Methods

Martin Hermann; Masoud Saravi

ISBN 10: 8132228111 ISBN 13: 9788132228110
Published by Springer, 2016
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May have limited writing in cover pages. Pages are unmarked. ~ ThriftBooks: Read More, Spend Less. Seller Inventory # G8132228111I4N00

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A Brief Review of Elementary Analytical Methods for Solving Nonlinear ODEs.- Analytical Approximation Methods.- Further Analytical Approximation Methods and Some Applications.- Nonlinear Two-Point Boundary Value Problems.- Numerical Treatment of Parameterized Two-Point Boundary Value Problems.

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Title: Nonlinear Ordinary Differential Equations: ...
Publisher: Springer
Publication Date: 2016
Binding: Paperback
Condition: Very Good
Dust Jacket Condition: No Jacket

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Masoud Saravi, Martin Hermann
Published by Springer India, 2016
ISBN 10: 8132228103 ISBN 13: 9788132228103
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Condition: Hervorragend. Zustand: Hervorragend | Seiten: 328 | Sprache: Englisch | Produktart: Bücher | 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. Seller Inventory # 26675179/1

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Hermann, Martin; Saravi, Masoud
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Hardcover/Pappeinband. Condition: Sehr gut. xiii, 310 Seiten. Sehr gut erhalten. 9788132228103 Sprache: Englisch Gewicht in Gramm: 1200. Seller Inventory # 97463

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Martin Hermann, Masoud Saravi
Published by Springer India, 2016
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Gebundene Ausgabe. Condition: Sehr gut. Gebraucht - Sehr gut SG - Ungelesenes Mängelexemplar, gestempelt, mit leichten Lagerspuren - 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. Seller Inventory # INF1000548182

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