Boundary value problems for third-order nonlinear ordinary differential equations

Sachdev, P. L. ; Bujurke, N. M. ; Awati, V. B. (2005) Boundary value problems for third-order nonlinear ordinary differential equations Studies in Applied Mathematics, 115 (3). pp. 303-318. ISSN 0022-2526

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Official URL: http://onlinelibrary.wiley.com/doi/10.1111/j.1467-...

Related URL: http://dx.doi.org/10.1111/j.1467-9590.2005.00310.x

Abstract

In this paper, we describe how to analyze boundary value problems for third-order nonlinear ordinary differential equations over an infinite interval. Several physical problems of interest are governed by such systems. The seminumerical schemes described here offer some advantages over solutions obtained by using traditional methods such as finite differences, shooting method, etc. These techniques also reveal the analytic structure of the solution function. For illustrative purposes, several physical problems, mainly drawn from fluid mechanics, are considered; they clearly demonstrate the efficiency of the techniques presented here.

Item Type:Article
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ID Code:33878
Deposited On:30 Mar 2011 13:38
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