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

Authors(2) :-Kavindra Soni, Dr. Mahendra Singh Khidiya

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.

Authors and Affiliations

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

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

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Publication Details

Published in : Volume 3 | Issue 8 | November-December 2017
Date of Publication : 2017-12-31
License:  This work is licensed under a Creative Commons Attribution 4.0 International License.
Page(s) : 262-269
Manuscript Number : IJSRSET173875
Publisher : Technoscience Academy

Print ISSN : 2395-1990, Online ISSN : 2394-4099

Cite This Article :

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.
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