Document Type
Article
Publication Date
2002
Publication Source
Journal of the Korean Mathematical Society
Abstract
The method of quasilinearization generates a monotone iteration scheme whose iterates converge quadratically to a unique solution of the problem at hand. In this paper, we apply the method to two families of three-point boundary value problems for second order ordinary differential equations: Linear boundary conditions and nonlinear boundary conditions are addressed independently. For linear boundary conditions, an appropriate Green's function is constructed. For nonlinear boundary conditions, we show that these nonlinearities can be addressed similarly to the nonlinearities in the differential equation.
Inclusive pages
319-330
ISBN/ISSN
0304-9914
Document Version
Published Version
Volume
39
Issue
2
Peer Reviewed
yes
eCommons Citation
Eloe, Paul W. and Gao, Yang, "The method of quasilinearization and a three-point boundary value problem" (2002). Mathematics Faculty Publications. 114.
https://ecommons.udayton.edu/mth_fac_pub/114
Comments
This document is made available in compliance with the publisher's policy on self-archiving or with the express permission of the publisher. Permission documentation is on file.