A numerical approach to nonlinear two-point boundary value problems for ODEs

A numerical approach to nonlinear two-point boundary value problems for ODEs

In this paper we propose a numerical approach to solve some problems connected with the implementation of the Newton type methods for the resolution of the nonlinear system of equations related to the discretization of a nonlinear two-point BVPs for ODEs with mixed linear boundary conditions by usin...

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Veröffentlicht in:Computers & mathematics with applications (1987) 2008-06, Vol.55 (11), p.2476-2489
Hauptverfasser: Cuomo, S., Marasco, A.
Format: Artikel
Sprache:eng
Schlagworte:
Boundary value problems
Computer simulation
Discretization
Dynamical systems
Finite difference method
Green’s functions
Mathematical analysis
Mathematical models
Newton’s method
Nonlinear boundary value problems
Nonlinear systems
Nonlinearity
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Zusammenfassung:In this paper we propose a numerical approach to solve some problems connected with the implementation of the Newton type methods for the resolution of the nonlinear system of equations related to the discretization of a nonlinear two-point BVPs for ODEs with mixed linear boundary conditions by using the finite difference method.
ISSN:0898-1221
1873-7668
DOI:10.1016/j.camwa.2007.10.002