Franklin

Keller-box method and its application / by Kuppalapalle Vajravelu, Kerehalli V. Prasad.

Author/Creator:
Vajravelu, Kuppalapalle, author.
Publication:
Berlin ; Boston : De Gruyter/Higher Education Press, [2014]
Format/Description:
Book
1 online resource (414 p.)
Series:
De Gruyter studies in mathematical physics ; 8.
De Gruyter studies in mathematical physics, 2194-3532 ; volume 8
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Subjects:
Differential equations, Nonlinear -- Numerical solutions.
Finite differences.
Nonlinear boundary value problems.
Fluid mechanics.
Form/Genre:
Electronic books.
Language:
English
Summary:
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.
Contents:
Basics of the finite difference approximations
Principles of the implicit Keller-box method
Stability and convergence of the implicit Keller-box method
Application of the Keller-box method to boundary layer problems
Application of the Keller-box method to fluid flow and heat transfer problems
Application of the Keller-box method to more advanced problems.
Notes:
Description based upon print version of record.
Includes bibliographical references and index.
Description based on print version record.
Contributor:
Prasad, Kerehalli V., author.
ISBN:
3-11-027178-8
3-11-036829-3
OCLC:
1002243496
Publisher Number:
10.1515/9783110271782 doi