Anzeige
Erschienen in:
2012 | OriginalPaper | Buchkapitel
Introduction
verfasst von : Kuppalapalle Vajravelu, Robert A. van Gorder
Erschienen in: Nonlinear Flow Phenomena and Homotopy Analysis
Verlag: Springer Berlin Heidelberg
Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.
Wählen Sie Textabschnitte aus um mit Künstlicher Intelligenz passenden Patente zu finden. powered by
Markieren Sie Textabschnitte, um KI-gestützt weitere passende Inhalte zu finden. powered by
The processes in the world we live in are, more often than not, governed by nonlinearity. Hence, in mathematics, and also in many other sciences in which quantitative models are useful, we often wish to obtain solutions for nonlinear equations. In the field of differential equations, many results pertaining to linear differential equations are well known and have been in existence for quite a while. However, in the area of nonlinear differential equations, there is little in the way of a unifying theory. In many cases, exact solutions for nonlinear differential equations are not to be found, and often we must resort to numerical schemes in order to gain an understanding of a solution to a particular nonlinear equation. When exact or analytical solutions are obtained, one often faces with difficulty of generalizing such results to other nonlinear differential equations.