Ebook: Nonlinear Flow Phenomena and Homotopy Analysis: Fluid Flow and Heat Transfer
- Tags: Computational Mathematics and Numerical Analysis, Engineering Fluid Dynamics, Theoretical Mathematical and Computational Physics, Computational Science and Engineering, Ordinary Differential Equations, Partial Differential Equations
- Year: 2012
- Publisher: Springer-Verlag Berlin Heidelberg
- Edition: 1
- Language: English
- pdf
Since most of the problems arising in science and engineering are nonlinear, they are inherently difficult to solve. Traditional analytical approximations are valid only for weakly nonlinear problems and often fail when used for problems with strong nonlinearity. “Nonlinear Flow Phenomena and Homotopy Analysis: Fluid Flow and Heat Transfer” presents the current theoretical developments of the analytical method of homotopy analysis. This book not only addresses the theoretical framework for the method, but also gives a number of examples of nonlinear problems that have been solved by means of the homotopy analysis method. The particular focus lies on fluid flow problems governed by nonlinear differential equations. This book is intended for researchers in applied mathematics, physics, mechanics and engineering.
Both Kuppalapalle Vajravelu and Robert A. Van Gorder work at the University of Central Florida, USA.
Since most of the problems arising in science and engineering are nonlinear, they are inherently difficult to solve. Traditional analytical approximations are valid only for weakly nonlinear problems, and often fail when used for problems with strong nonlinearity. “Nonlinear Flow Phenomena and Homotopy Analysis: Fluid Flow and Heat Transfer” presents the current theoretical developments of the analytical method of homotopy analysis. This book not only addresses the theoretical framework for the method, but also gives a number of examples of nonlinear problems that have been solved by means of the homotopy analysis method. The particular focus lies on fluid flow problems governed by nonlinear differential equations. This book is intended for researchers in applied mathematics, physics, mechanics and engineering.
Both Kuppalapalle Vajravelu and Robert A. Van Gorder work at the University of Central Florida, USA.
Since most of the problems arising in science and engineering are nonlinear, they are inherently difficult to solve. Traditional analytical approximations are valid only for weakly nonlinear problems, and often fail when used for problems with strong nonlinearity. “Nonlinear Flow Phenomena and Homotopy Analysis: Fluid Flow and Heat Transfer” presents the current theoretical developments of the analytical method of homotopy analysis. This book not only addresses the theoretical framework for the method, but also gives a number of examples of nonlinear problems that have been solved by means of the homotopy analysis method. The particular focus lies on fluid flow problems governed by nonlinear differential equations. This book is intended for researchers in applied mathematics, physics, mechanics and engineering.
Both Kuppalapalle Vajravelu and Robert A. Van Gorder work at the University of Central Florida, USA.
Content:
Front Matter....Pages i-xii
Introduction....Pages 1-5
Principles of Homotopy Analysis....Pages 7-52
Methods for the Control of Convergence in Obtained Solutions....Pages 53-75
Additional Techniques....Pages 77-100
Application of the Homotopy Analysis Method to Fluid Flow Problems....Pages 101-155
Further Applications of the Homotopy Analysis Method....Pages 157-184
Back Matter....Pages 185-190
Since most of the problems arising in science and engineering are nonlinear, they are inherently difficult to solve. Traditional analytical approximations are valid only for weakly nonlinear problems, and often fail when used for problems with strong nonlinearity. “Nonlinear Flow Phenomena and Homotopy Analysis: Fluid Flow and Heat Transfer” presents the current theoretical developments of the analytical method of homotopy analysis. This book not only addresses the theoretical framework for the method, but also gives a number of examples of nonlinear problems that have been solved by means of the homotopy analysis method. The particular focus lies on fluid flow problems governed by nonlinear differential equations. This book is intended for researchers in applied mathematics, physics, mechanics and engineering.
Both Kuppalapalle Vajravelu and Robert A. Van Gorder work at the University of Central Florida, USA.
Content:
Front Matter....Pages i-xii
Introduction....Pages 1-5
Principles of Homotopy Analysis....Pages 7-52
Methods for the Control of Convergence in Obtained Solutions....Pages 53-75
Additional Techniques....Pages 77-100
Application of the Homotopy Analysis Method to Fluid Flow Problems....Pages 101-155
Further Applications of the Homotopy Analysis Method....Pages 157-184
Back Matter....Pages 185-190
....