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 break down for problems with strong nonlinearity. This book presents the current theoretical developments and applications of the Keller-box method to nonlinear problems. The first half of the book addresses basic concepts to understand the theoretical framework for the method. In the second half of the book, the authors give a number of examples of coupled nonlinear problems that have been solved by means of the Keller-box method. The particular area of focus is on fluid flow problems governed by nonlinear equation.
Kuppalapalle Vajravelu, University of Central Florida, Orlando, USA; Kerehalli V. Prasad, Bangalore University,India.
Chapter 1: Introduction
Part I: Theoretical considerations
Chapter 2: Principles of Implicit Keller-Box Method
Chapter 3: Stability and convergence of Implicit Keller-Box method
Part II: Application to physical problems
Chapter 4: Application of Keller-Box method to fluid flow and heat transfer problems
Chapter 5: Application of Keller-Box method to coupled nonlinear boundary value problems
Chapter 6: Application of Keller-Box method to more advanced problems