Solution of Higher Order Linear Boundary Value Problem Using Stochastic Method

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

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.

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

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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) : 255-261
Manuscript Number : IJSRSET173874
Publisher : Technoscience Academy

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

Cite This Article :

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.
Journal URL : http://ijsrset.com/IJSRSET173874

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