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Three-Step Block Method for Solving Nonlinear Boundary Value Problems
Joint Authors
Phang, Pei See
Suleiman, Mohamed
Abdul Majid, Zanariah
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-06-05
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
We propose a three-step block method of Adam’s type to solve nonlinear second-order two-point boundary value problems of Dirichlet type and Neumann type directly.
We also extend this method to solve the system of second-order boundary value problems which have the same or different two boundary conditions.
The method will be implemented in predictor corrector mode and obtain the approximate solutions at three points simultaneously using variable step size strategy.
The proposed block method will be adapted with multiple shooting techniques via the three-step iterative method.
The boundary value problem will be solved without reducing to first-order equations.
The numerical results are presented to demonstrate the effectiveness of the proposed method.
American Psychological Association (APA)
Phang, Pei See& Abdul Majid, Zanariah& Suleiman, Mohamed. 2014. Three-Step Block Method for Solving Nonlinear Boundary Value Problems. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-1033724
Modern Language Association (MLA)
Phang, Pei See…[et al.]. Three-Step Block Method for Solving Nonlinear Boundary Value Problems. Abstract and Applied Analysis No. 2014 (2014), pp.1-8.
https://search.emarefa.net/detail/BIM-1033724
American Medical Association (AMA)
Phang, Pei See& Abdul Majid, Zanariah& Suleiman, Mohamed. Three-Step Block Method for Solving Nonlinear Boundary Value Problems. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-8.
https://search.emarefa.net/detail/BIM-1033724
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1033724