Numerov's Method for a Class of Nonlinear Multipoint Boundary Value Problems
Joint Authors
Wu, Wen-Jia
Scalia, Massimo
Wang, Yuan-Ming
Source
Mathematical Problems in Engineering
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-29, 29 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-08-03
Country of Publication
Egypt
No. of Pages
29
Main Subjects
Abstract EN
The purpose of this paper is to give a numerical treatment for a class of nonlinear multipoint boundary value problems.
The multipoint boundary condition under consideration includes various commonly discussed boundary conditions, such as the three- or four-point boundary condition.
The problems are discretized by the fourth-order Numerov's method.
The existence and uniqueness of the numerical solution are investigated by the method of upper and lower solutions.
The convergence and the fourth-order accuracy of the method are proved.
An accelerated monotone iterative algorithm with the quadratic rate of convergence is developed for solving the resulting nonlinear discrete problems.
Some applications and numerical results are given to demonstrate thehigh efficiency of the approach.
American Psychological Association (APA)
Wang, Yuan-Ming& Wu, Wen-Jia& Scalia, Massimo. 2011. Numerov's Method for a Class of Nonlinear Multipoint Boundary Value Problems. Mathematical Problems in Engineering،Vol. 2012, no. 2012, pp.1-29.
https://search.emarefa.net/detail/BIM-1029535
Modern Language Association (MLA)
Wang, Yuan-Ming…[et al.]. Numerov's Method for a Class of Nonlinear Multipoint Boundary Value Problems. Mathematical Problems in Engineering No. 2012 (2012), pp.1-29.
https://search.emarefa.net/detail/BIM-1029535
American Medical Association (AMA)
Wang, Yuan-Ming& Wu, Wen-Jia& Scalia, Massimo. Numerov's Method for a Class of Nonlinear Multipoint Boundary Value Problems. Mathematical Problems in Engineering. 2011. Vol. 2012, no. 2012, pp.1-29.
https://search.emarefa.net/detail/BIM-1029535
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1029535