Continuous Genetic Algorithm : A Robust Method to Solve Higher Order Non-Linear Boundary Value Problem

Authors

  • Kavindra Soni  Department of Mechanical Engineering, College of Technology and Engineering, MPUAT, Udaipur, India
  • Dr. Mahendra Singh Khidiya  Department of Mechanical Engineering, College of Technology and Engineering, MPUAT, Udaipur, India

Keywords:

Genetic Algorithm, Fourth-Order Nonlinear Differential Equation, Centre-Difference Formula, Electrostatically Microcantilever Beam

Abstract

The aim of this work is to find the solution of linear and nonlinear boundary value problem using genetic algorithm. A continuous genetic algorithm has been design and applied to the solution of fourth-order nonlinear boundary value problem. The genetic algorithm solves the differential equation by a process of evaluating the best fittest solutions curve from a family of randomly generated solution curves. This method is applicable to both the linear and nonlinear differential equation of fourth-order. Numerical results presented in the work illustrate the applicability of the genetic algorithm for fourth-order linear and nonlinear boundary value problem.

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International Journal of Scientific Research in Science, Engineering and Technology

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Published

2017-12-31

Issue

Volume 3, Issue 8, November-December-2017

Section

Research Articles

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This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

[1]
Kavindra Soni, Dr. Mahendra Singh Khidiya, " Continuous Genetic Algorithm : A Robust Method to Solve Higher Order Non-Linear Boundary Value Problem, International Journal of Scientific Research in Science, Engineering and Technology(IJSRSET), Print ISSN : 2395-1990, Online ISSN : 2394-4099, Volume 3, Issue 8, pp.262-269, November-December-2017.