Solution of Higher Order Linear Boundary Value Problem Using Stochastic Method

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, stochastic method, higher order differential equation, centre-difference formula

Abstract

The aim of this work is to find the solution of higher order linear boundary value problem using genetic algorithm. A continuous genetic algorithm has been design and applied to the solution of higher order 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 differential equation of any order. Numerical results presented in the work illustrate the applicability of the genetic algorithm for any order linear 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, " Solution of Higher Order Linear Boundary Value Problem Using Stochastic Method, International Journal of Scientific Research in Science, Engineering and Technology(IJSRSET), Print ISSN : 2395-1990, Online ISSN : 2394-4099, Volume 3, Issue 8, pp.255-261, November-December-2017.