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2012 Solving Singular Two-Point Boundary Value Problems Using Continuous Genetic Algorithm
Omar Abu Arqub, Zaer Abo-Hammour, Shaher Momani, Nabil Shawagfeh
Abstr. Appl. Anal. 2012: 1-25 (2012). DOI: 10.1155/2012/205391


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.


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Omar Abu Arqub. Zaer Abo-Hammour. Shaher Momani. Nabil Shawagfeh. "Solving Singular Two-Point Boundary Value Problems Using Continuous Genetic Algorithm." Abstr. Appl. Anal. 2012 1 - 25, 2012.


Published: 2012
First available in Project Euclid: 28 March 2013

zbMATH: 1261.34018
MathSciNet: MR2994955
Digital Object Identifier: 10.1155/2012/205391

Rights: Copyright © 2012 Hindawi


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