Artificial Bee Colony Algorithm for Solving Initial Value Problems

Authors

  • L. Djerou Department of Computer Science, M.K. University, Biskra
  • N. Khelil Department of Mathematics, M.K. University, Biskra
  • S. Aichouche Department of Mathematics, M.K. University, Biskra

DOI:

https://doi.org/10.26713/cma.v8i2.703

Keywords:

Initial-value problem, Optimization problem, Artificial bee colony algorithm

Abstract

A novel numerical differential equation method is presented to solve approximately an initial-value problem (IVP). The IVP is formulated as an optimization problem and the artificial bee colony algorithm (ABC) is used in order to find numerical solutions for this problem. Finally, we use an initial value problem example as illustration to testify the efficiency of the proposed method. The computational results showed that the proposed new method is quite promising, and the potential of the algorithm could be applied successfully in near future to other numerical method as well.

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Published

30-08-2017
CITATION

How to Cite

Djerou, L., Khelil, N., & Aichouche, S. (2017). Artificial Bee Colony Algorithm for Solving Initial Value Problems. Communications in Mathematics and Applications, 8(2), 119–125. https://doi.org/10.26713/cma.v8i2.703

Issue

Vol. 8 No. 2 (2017)

Section

Research Article

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