Read Beyond Perturbation: Introduction to the Homotopy Analysis Method (Modern Mechanics and Mathematics Book 2)

Beyond Perturbation: Introduction to the Homotopy Analysis Method (Modern Mechanics and Mathematics Book 2)

Shijun Liao

4.9/5 (13468 ratings)

Description:Solving nonlinear problems is inherently difficult, and the stronger the nonlinearity, the more intractable solutions become. Analytic approximations often break down as nonlinearity becomes strong, and even perturbation approximations are valid only for problems with weak nonlinearity. This book introduces a powerful new analytic method for nonlinear problems-homotopy analysis-that remains valid even with strong nonlinearity. In Part I, 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. These range from simple bifurcations of a nonlinear boundary-value problem to the Thomas-Fermi atom model, Volterra's population model, Von Karman swirling viscous flow, and nonlinear progressive waves in deep water. Although the homotopy analysis method has been verified in a number of prestigious journals, it has yet to be fully detailed in book form. Written by a pioneer in its development, Beyond Pertubation: Introduction to the Homotopy Analysis Method is your first opportunity to explore the details of this valuable new approach, add it to your analytic toolbox, and perhaps make contributions to some of the questions that remain open.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Beyond Perturbation: Introduction to the Homotopy Analysis Method (Modern Mechanics and Mathematics Book 2). To get started finding Beyond Perturbation: Introduction to the Homotopy Analysis Method (Modern Mechanics and Mathematics Book 2), you are right to find our website which has a comprehensive collection of manuals listed.
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ISBN: 1135438293

Description: Solving nonlinear problems is inherently difficult, and the stronger the nonlinearity, the more intractable solutions become. Analytic approximations often break down as nonlinearity becomes strong, and even perturbation approximations are valid only for problems with weak nonlinearity. This book introduces a powerful new analytic method for nonlinear problems-homotopy analysis-that remains valid even with strong nonlinearity. In Part I, 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. These range from simple bifurcations of a nonlinear boundary-value problem to the Thomas-Fermi atom model, Volterra's population model, Von Karman swirling viscous flow, and nonlinear progressive waves in deep water. Although the homotopy analysis method has been verified in a number of prestigious journals, it has yet to be fully detailed in book form. Written by a pioneer in its development, Beyond Pertubation: Introduction to the Homotopy Analysis Method is your first opportunity to explore the details of this valuable new approach, add it to your analytic toolbox, and perhaps make contributions to some of the questions that remain open.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Beyond Perturbation: Introduction to the Homotopy Analysis Method (Modern Mechanics and Mathematics Book 2). To get started finding Beyond Perturbation: Introduction to the Homotopy Analysis Method (Modern Mechanics and Mathematics Book 2), you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.

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Beyond Perturbation: Introduction to the Homotopy Analysis Method (Modern Mechanics and Mathematics Book 2)

Beyond Perturbation: Introduction to the Homotopy Analysis Method (Modern Mechanics and Mathematics Book 2)

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