New Algorithm of Two-Point Block Method for Solving Boundary Value Problem with Dirichlet and Neumann Boundary Conditions
Joint Authors
Phang, Pei See
Othman, Khairil Iskandar
Suleiman, Mohamed
Ismail, F.
Abdul Majid, Zanariah
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-04-03
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
Two-point block method with variable step-size strategy is presented to obtain the solutions for boundary value problems directly.
Dirichlet type and Neumann type of boundary conditions are studied in this paper.
Multiple shooting techniques adapted with the three-step iterative method are employed for generating the guessing value.
Six boundary value problems are solved using the proposed method, and the numerical results are compared to the existing methods.
The results suggest a significant improvement in the efficiency of the proposed methods in terms of the number of steps, execution time, and accuracy.
American Psychological Association (APA)
Phang, Pei See& Abdul Majid, Zanariah& Ismail, F.& Othman, Khairil Iskandar& Suleiman, Mohamed. 2013. New Algorithm of Two-Point Block Method for Solving Boundary Value Problem with Dirichlet and Neumann Boundary Conditions. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-1032454
Modern Language Association (MLA)
Phang, Pei See…[et al.]. New Algorithm of Two-Point Block Method for Solving Boundary Value Problem with Dirichlet and Neumann Boundary Conditions. Mathematical Problems in Engineering No. 2013 (2013), pp.1-10.
https://search.emarefa.net/detail/BIM-1032454
American Medical Association (AMA)
Phang, Pei See& Abdul Majid, Zanariah& Ismail, F.& Othman, Khairil Iskandar& Suleiman, Mohamed. New Algorithm of Two-Point Block Method for Solving Boundary Value Problem with Dirichlet and Neumann Boundary Conditions. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-1032454
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1032454