Abstract
In this research, a new optimum numerical method is introduced to analyze nonlinear conductive heat transfer problems. The governing equation and the boundary conditions are combined using the penalty method to define a proper cost function. Furthermore, a Moving Least Squares (MLS) approach is applied to approximate the derivatives in the introduced nonlinear objective function. The objective function is minimized using particle swarm optimization (PSO) to find un-known nodal values. Obtained numerical results are compared with those reported in literature. The comparisons clearly illustrate the successfulness of the introduced strategy to solve the nonlinear heat transfer and its superiority in comparison with other well-known schemes.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: Journal of the Brazilian Society of Mechanical Sciences and Engineering
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
