Generalized Quasilinearization Method for a Second Order Three Point Boundary-value Problem with Nonlinear Boundary Conditions
Date
2002-10-22
Authors
Ahmad, Bashir
Khan, Rahmat
Eloe, Paul W.
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
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 differential equations with nonlinear boundary conditions. Also, we improve the convergence of the sequence of iterates by establishing a convergence of order k.
Description
Keywords
Generalized quasilinearization, Boundary value problem, Nonlinear boundary conditions, Quadratic and rapid convergence
Citation
Ahmad, B., Khan, R., & Eloe, P. W. (2002). Generalized quasilinearization method for a second order three point boundary-value problem with nonlinear boundary conditions. <i>Electronic Journal of Differential Equations, 2002</i>(90), pp. 1-12.
Rights
Attribution 4.0 International