Nonlinear Flow Phenomena and Homotopy Analysis

Fluid Flow and Heat Transfer

  • Kuppalapalle Vajravelu
  • Robert A. van Gorder

Table of contents

  1. Front Matter
    Pages i-xii
  2. Kuppalapalle Vajravelu, Robert A. van Gorder
    Pages 1-5
  3. Kuppalapalle Vajravelu, Robert A. van Gorder
    Pages 7-52
  4. Kuppalapalle Vajravelu, Robert A. van Gorder
    Pages 53-75
  5. Kuppalapalle Vajravelu, Robert A. van Gorder
    Pages 77-100
  6. Kuppalapalle Vajravelu, Robert A. van Gorder
    Pages 101-155
  7. Kuppalapalle Vajravelu, Robert A. van Gorder
    Pages 157-184
  8. Back Matter
    Pages 185-190

About this book

Introduction

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.

Keywords

Analytical approximation Differential equations Homotopy analysis Non-nonlinear problems Series solution

Authors and affiliations

  • Kuppalapalle Vajravelu
    • 1
  • Robert A. van Gorder
    • 1
  1. 1.Department of MathematicsUniversity of Central FloridaOrlandoUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-32102-3
  • Copyright Information Higher Education Press, Beijing and Springer-Verlag GmbH Berlin Heidelberg 2012
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-642-32101-6
  • Online ISBN 978-3-642-32102-3
  • About this book