An Approximate Optimization Method for Solving Stiff Ordinary Differential Equations With Combinational Mutation Strategy of Differential Evolution Algorithm

Febrianti, Werry; Sidarto, Kuntjoro Adji; Sumarti, Novriana

An Approximate Optimization Method for Solving Stiff Ordinary Differential Equations With Combinational Mutation Strategy of Differential Evolution Algorithm

Files

196-Article Text-505-3-10-20221220.pdf(2.19 MB)

Date

2022-12-20

Authors

Febrianti, Werry

Sidarto, Kuntjoro Adji

Sumarti, Novriana

Publisher

Institute of Automation and Computer Science, Brno University of Technology

Altmetrics

Abstract

This paper examines the implementation of simple combination mutation of differential evolution algorithm for solving stiff ordinary differential equations. We use the weighted residual method with a series expansion to approximate the solutions of stiff ordinary differential equations. We solve the problems from an ordinary stiff differential equation for linear and nonlinear problems. Then, we also implement our method for solving stiff systems of ordinary differential equations. We find that our algorithm can approximate the exact solution of a stiff ordinary differential equation with the smallest error for each length of series that we have chosen. Thus, this approximation method, by using the optimization method of simple combination differential evolution, can be a good tool for solving stiff ordinary differential equations.

Keywords

Stiff ordinary differential equation, Fourier series, Weighted residual method, Simple combination mutation of differential evolution

Citation

Mendel. 2022 vol. 28, č. 2, s. 54-61. ISSN 1803-3814
https://mendel-journal.org/index.php/mendel/article/view/196

Document type

Peer-reviewed

Document version

Published version

Language of document

en

Document licence

Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International license
http://creativecommons.org/licenses/by-nc-sa/4.0