Shijun Liao

Beyond Perturbation (eBook, PDF)

Introduction to the Homotopy Analysis Method

• Format: PDF

Produktbeschreibung

Solving nonlinear problems is inherently difficult, and the stronger the nonlinearity, the more intractable solutions become. This book introduces a powerful new analytic method for nonlinear problems-homotopy analysis-that remains valid even with strong nonlinearity.

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Produktdetails

• Verlag: Taylor & Francis
• Seitenzahl: 336
• Erscheinungstermin: 27. Oktober 2003
• Englisch
• ISBN-13: 9781135438296
• Artikelnr.: 58505261

Autorenporträt

Shijun Liao (Shanghai Jiao Tong University, Shanghai, China)

Inhaltsangabe

PART I BASIC IDEAS: Introduction. Illustrative Description. Systematic
Description. Relations to Some Previous Analytic Methods. Advantages,
Limitations, and Open Questions. PART II APPLICATIONS: Simple Bifurcation
of a Nonlinear Problem. Multiple Solutions of a Nonlinear Problem.
Nonlinear Eigenvalue Problem. Thomas-Fermi Atom Model. Volterra's
Population Model. Free Oscillation Systems with Odd Nonlinearity. Free
Oscillation Systems with Quadratic Nonlinearity. Limit Cycle in a
Multidimensional System. Blasius' Viscous Flow. Boundary-layer Flow with
Exponential Property. Boundary-layer Flow with Algebraic Property. Von
Kármán Swirling Flow. Nonlinear Progressive Waves in Deep Water.
BIBLIOGRAPHY. INDEX