Shijun Liao

Beyond Perturbation

Introduction to the Homotopy Analysis Method

• Gebundenes Buch

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. The author starts with a very simple example, then presents the basic ideas, detailed procedures, and the advantages (and limitations) of homotopy analysis. Part II illustrates the application of homotopy analysis to many interesting nonlinear problems. Written by a pioneer in its development, Beyond Pertubation: Introduction to the Homotopy Analysis Method is the first book to explore the details of this valuable new approach.

Produktdetails

• Verlag: CRC Press
• Seitenzahl: 334
• Erscheinungstermin: 27. Oktober 2003
• Englisch
• Abmessung: 247mm x 157mm x 23mm
• Gewicht: 630g
• ISBN-13: 9781584884071
• ISBN-10: 158488407X
• Artikelnr.: 22162313

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