Generalized quasilinearization method for a second order three point boundary-value problem with nonlinear boundary conditions

Author(s)

Bashir Ahmad, King Abdulaziz University
Rahmat Ali Khan, University of Malakand, Pakistan
Paul W. Eloe, University of DaytonFollow

Document Type

Article

Publication Date

2002

Publication Source

Electronic Journal of Differential Equations

Abstract

The generalized quasilinearization technique is applied to obtain a monotone sequence of iterates converging uniformly and quadratically to a solution of three point boundary value problem for second order di_erential equations with nonlinear boundary conditions. Also, we improve the convergence of the sequence of iterates by establishing a convergence of order k.

Inclusive pages

1-12

ISBN/ISSN

1072-6691

Document Version

Published Version

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.

Issue

90

Peer Reviewed

yes

eCommons Citation

Ahmad, Bashir; Khan, Rahmat Ali; and Eloe, Paul W., "Generalized quasilinearization method for a second order three point boundary-value problem with nonlinear boundary conditions" (2002). Mathematics Faculty Publications. 100.
https://ecommons.udayton.edu/mth_fac_pub/100