An optimization algorithm for determining a point heat source position in a 2D domain using a hybrid metaheuristic-Reference-Cited by-同舟云学术

An optimization algorithm for determining a point heat source position in a 2D domain using a hybrid metaheuristic

Published:2018-01-10 Issue:3 Volume:26 Page:335-347
ISSN:1569-3945
Container-title:Journal of Inverse and Ill-posed Problems
language:en
Short-container-title:

Author:

Kurt Mehmet¹^ORCID,Günel Korhan²^ORCID

Affiliation:

1. Faculty of Engineering and Natural Sciences , Bahcesehir University and Izmir Bahcesehir Science and Technology High School , Izmir , Turkey

2. Department of Mathematics , Faculty of Arts and Sciences , Adnan Menderes University , Aydın , Turkey

Abstract

Abstract In this paper, we study an inverse problem of determining the unknown heat source position of a point-wise heat source in a two-dimensional steady-state heat conduction problem governed by a linear elliptic equation with the Dirichlet boundary conditions. The problem is solved by the hybridization of particle swarm optimization and the gravitational search algorithm with a newly defined mutation operator. Some empirical studies are also performed to gauge the accuracy of the proposed approach.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/jiip-2017-0098/pdf

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