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Nature Inspired Computational Technique for the Numerical Solution of Nonlinear Singular Boundary Value Problems Arising in Physiology
Joint Authors
Qureshi, Ijaz Mansoor
Malik, Suheel Abdullah
Amir, Muhammad
Haq, Ihsanul
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-02-02
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Medicine
Information Technology and Computer Science
Abstract EN
We present a hybrid heuristic computing method for the numerical solution of nonlinear singular boundary value problems arising in physiology.
The approximate solution is deduced as a linear combination of some log sigmoid basis functions.
A fitness function representing the sum of the mean square error of the given nonlinear ordinary differential equation (ODE) and its boundary conditions is formulated.
The optimization of the unknown adjustable parameters contained in the fitness function is performed by the hybrid heuristic computation algorithm based on genetic algorithm (GA), interior point algorithm (IPA), and active set algorithm (ASA).
The efficiency and the viability of the proposed method are confirmed by solving three examples from physiology.
The obtained approximate solutions are found in excellent agreement with the exact solutions as well as some conventional numerical solutions.
American Psychological Association (APA)
Malik, Suheel Abdullah& Qureshi, Ijaz Mansoor& Amir, Muhammad& Haq, Ihsanul. 2014. Nature Inspired Computational Technique for the Numerical Solution of Nonlinear Singular Boundary Value Problems Arising in Physiology. The Scientific World Journal،Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-1051270
Modern Language Association (MLA)
Malik, Suheel Abdullah…[et al.]. Nature Inspired Computational Technique for the Numerical Solution of Nonlinear Singular Boundary Value Problems Arising in Physiology. The Scientific World Journal No. 2014 (2014), pp.1-10.
https://search.emarefa.net/detail/BIM-1051270
American Medical Association (AMA)
Malik, Suheel Abdullah& Qureshi, Ijaz Mansoor& Amir, Muhammad& Haq, Ihsanul. Nature Inspired Computational Technique for the Numerical Solution of Nonlinear Singular Boundary Value Problems Arising in Physiology. The Scientific World Journal. 2014. Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-1051270
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1051270