TITLE:
Solution of Second-Order Ordinary Differential Equations via Simulated Annealing
AUTHORS:
Abdulazeez Bilesanmi, Ashiribo Senapon Wusu, Akinwale Lewis Olutimo
KEYWORDS:
Simulated Annealing, Second-Order Ordinary Differential Equation, Polynomial, Optimization
JOURNAL NAME:
Open Journal of Optimization,
Vol.8 No.1,
February
27,
2019
ABSTRACT: In this paper, we approach the problem of obtaining approximate solution of second-order initial value problems by converting it to an optimization problem. It is assumed that the solution can be approximated by a polynomial. The coefficients of the polynomial are then optimized using simulated annealing technique. Numerical examples with good results show the accuracy of the proposed approach compared with some existing methods.