Nonlinear Flow Phenomena and Homotopy Analysis

This book presents current theoretical developments in homotopy analysis. It also gives a number of examples of nonlinear problems that have been solved by means of the homotopy analysis method.

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.

A powerful analytical method for strongly nonlinear differential equations Latest developments in theory and applications Varieties of very recent and interesting applications in science and engineering

Inhalt
Part I: Theoretical Considerations.- Principles of the Homotopy Analysis Method.- Methods for the Control of Convergence in Obtained Solutions.- Additional Techniques. Part II: Applications to Physical Problems.- Application of the Homotopy Analysis Method to Fluid Flow Problems.- Application of the Homotopy Analysis Method to Heat Transfer Problems.- Application of the Homotopy Analysis Method to More Advanced Problems.