Keller-Box Method and Its Application

1. Auflage 2014
ISBN: 978-3-11-027137-9
Verlag: De Gruyter

Buch, Englisch, Band 8, 401 Seiten, HC runder Rücken kaschiert, Format (B × H): 175 mm x 246 mm, Gewicht: 881 g

Reihe: De Gruyter Studies in Mathematical Physics

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.

Zielgruppe

Students and Researchers in Mathematics, Applied Mathematics, Mat

Autoren/Hrsg.

Vajravelu, Kuppalapalle

Prasad, Kerehalli V.

Weitere Mitwirkende

Press, Higher Education

Fachgebiete

• Naturwissenschaften Physik Mechanik Kontinuumsmechanik, Strömungslehre
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Numerische Mathematik
• Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Kontinuumsmechanik
• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik

Inhaltsverzeichnis

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 Subject Index
Author Index

Über Autor(innen)

Kuppalapalle Vajravelu, University of Central Florida, Orlando, USA; Kerehalli V. Prasad, Bangalore University, India.