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01-Applied Mathematics & Information Sciences
An International Journal


Volumes > Volume 08 > No. 1


Application of Continuous Genetic Algorithm for Nonlinear System of Second-Order Boundary Value Problems

PP: 235-248
Omar Abu-Arqub, Zaer Abo-Hammour, Shaher Momani, Shaher Momani,
In this paper, a numerical algorithm, based on the use of genetic algorithm technique, is presented for solving a class of nonlinear systems of second-order boundary value problems. In this technique, the system is formulated as an optimization problem by the direct minimization of the overall individual residual error subject to the given constraints boundary condtions, and is then solved using continuous genetic algorithm. In general, the proposed technique uses smooth operators and avoids sharp jumps in the parameter values. The applicability, efficiency, and accuracy of the proposed algorithm for the solution of different problems is investigated. Meanwhile, the convergence analysis based on the resulting statistical data is also discussed.

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