Nonlinear Flow Phenomena and Homotopy Analysis: Fluid Flow and Heat Transfer

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 Hom... Ausführliche Beschreibung

1. Person: Vajravelu, Kuppalapalle
Weitere Körperschaften: SpringerLink (Online service)
Weitere Personen: Van Gorder, Robert A. [author]
Format: E-Buch
Sprache: English
Veröffentlicht: Berlin, Heidelberg Springer Berlin Heidelberg 2012, 2012
Beschreibung: XII, 190 p. 71 illus online resource
Ausgabe: 1st ed. 2012
Schlagworte: Computational Science and Engineering
Computational Mathematics and Numerical Analysis
Differential equations, partial
Computer science
Computer science / Mathematics
Engineering Fluid Dynamics
Hydraulic engineering
Ordinary Differential Equations
Partial Differential Equations
Theoretical, Mathematical and Computational Physics
Differential Equations
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245 0 0 |a Nonlinear Flow Phenomena and Homotopy Analysis  |h Elektronische Ressource  |b Fluid Flow and Heat Transfer  |c by Kuppalapalle Vajravelu, Robert A. Van Gorder 
250 |a 1st ed. 2012 
260 |a Berlin, Heidelberg  |b Springer Berlin Heidelberg  |c 2012, 2012 
300 |a XII, 190 p. 71 illus  |b online resource 
505 0 |a 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 
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653 |a Computational Mathematics and Numerical Analysis 
653 |a Differential equations, partial 
653 |a Computer science 
653 |a Computer science / Mathematics 
653 |a Engineering Fluid Dynamics 
653 |a Hydraulic engineering 
653 |a Ordinary Differential Equations 
653 |a Partial Differential Equations 
653 |a Theoretical, Mathematical and Computational Physics 
653 |a Differential Equations 
700 1 |a Van Gorder, Robert A.  |e [author] 
710 2 |a SpringerLink (Online service) 
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082 0 |a 518 
520 |a 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. 

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