ODE Boundary Value Problems

Deuflhard, Peter

doi:10.1007/978-3-642-23899-4_7

Peter Deuflhard^2,3

Part of the book series: Springer Series in Computational Mathematics ((SSCM,volume 35))

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Abstract

In this chapter, we consider two-point boundary value problems (BVPs) for ordinary differential equations (ODEs)

$${y\prime}=f(y), f\in {C^2}, r(y(a),y(b))=0, r\in{ C^2}$$

wherein both the right side f (autonomous for ease of writing) and the boundary conditions r are of dimension n and may be nonlinear.

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Authors and Affiliations

Zuse Institute Berlin (ZIB), Takustr. 7, 14195, Berlin, Germany
Peter Deuflhard
Dept. of Mathematics and Computer Science, Freie Universität Berlin, Berlin, Germany
Peter Deuflhard

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Correspondence to Peter Deuflhard .

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Deuflhard, P. (2011). ODE Boundary Value Problems. In: Newton Methods for Nonlinear Problems. Springer Series in Computational Mathematics, vol 35. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-23899-4_7

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DOI: https://doi.org/10.1007/978-3-642-23899-4_7
Published: 05 September 2011
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-23898-7
Online ISBN: 978-3-642-23899-4
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)

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