Solving Singular Two-Point Boundary Value Problems Using Continuous Genetic Algorithm
Joint Authors
Momani, Shaher
Shawagfeh, Nabil
Abo-Hammour, Z. S.
Abu Arqub, Omar
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-25, 25 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-11-12
Country of Publication
Egypt
No. of Pages
25
Main Subjects
Abstract EN
In this paper, the continuous genetic algorithm is applied for the solution of singular two-point boundary value problems, where smooth solution curves are used throughout the evolution of the algorithm to obtain the required nodal values.
The proposed technique might be considered as a variation of the finite difference method in the sense that each of the derivatives is replaced by an appropriate difference quotient approximation.
This novel approach possesses main advantages; it can be applied without any limitation on the nature of the problem, the type of singularity, and the number of mesh points.
Numerical examples are included to demonstrate the accuracy, applicability, and generality of the presented technique.
The results reveal that the algorithm is very effective, straightforward, and simple.
American Psychological Association (APA)
Abu Arqub, Omar& Abo-Hammour, Z. S.& Momani, Shaher& Shawagfeh, Nabil. 2012. Solving Singular Two-Point Boundary Value Problems Using Continuous Genetic Algorithm. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-25.
https://search.emarefa.net/detail/BIM-454345
Modern Language Association (MLA)
Abu Arqub, Omar…[et al.]. Solving Singular Two-Point Boundary Value Problems Using Continuous Genetic Algorithm. Abstract and Applied Analysis No. 2012 (2012), pp.1-25.
https://search.emarefa.net/detail/BIM-454345
American Medical Association (AMA)
Abu Arqub, Omar& Abo-Hammour, Z. S.& Momani, Shaher& Shawagfeh, Nabil. Solving Singular Two-Point Boundary Value Problems Using Continuous Genetic Algorithm. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-25.
https://search.emarefa.net/detail/BIM-454345
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-454345