A Nature Inspired Algorithm based resolution of an Engineering's ODE

Authors

  • Fatima OUAAR  Department of Mathematics, University Mohamed KHEIDER, Biskra, Algeria
  • Naceur KHELIL  Department of Mathematics, University Mohamed KHEIDER, Biskra, Algeria

Keywords:

Ordinary Differential equations (ODE), Engineering Problems, Initial-Value Problem (IVP); Optimization problem; Flower Pollination Algorithm (FPA).

Abstract

Differential equations have an extremely important task in the engineering field as well as in the ecological, biological and medical fields. They are useful in many domains. By classical point of view, ODEs can be solved simply by usual mathematical tools that are not very accurate especially in the complex problems. Nature Inspired Algorithms are fetching an imperative component of modern optimization when large collections of Nature Inspired Algorithms have appeared recently to treaty successfully a variety of problems. In this paper, we employ the Flower Pollination Algorithm (FPA) proposed by Xin-She Yang (2013), to solve approximately an (IVP) in both linear and nonlinear cases; the efficiency of the planned method is verified by means of a simulation study that shows very good results.

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IInternational Journal of Scientific Research in Mechanical and Materials Engineering

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Published

2018-06-30

Issue

Volume 2, Issue 2, -2018

Section

Research Articles

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How to Cite

[1]
Fatima OUAAR, Naceur KHELIL, " A Nature Inspired Algorithm based resolution of an Engineering's ODE, IInternational Journal of Scientific Research in Mechanical and Materials Engineering(IJSRMME), ISSN : 2456-3307, Volume 2, Issue 2, pp.21-27, -2018.