Galerkin-Based Approximate Solution for Heat Transfer Problems
Journal Title: International Journal of Multidisciplinary Research and Analysis - Year 2025, Vol 8, Issue 02
Abstract
This paper presents the application of the Weighted Residuals Method, specifically the Least Squares Method, to solve the steady-state one-dimensional heat conduction problem in a slab with thermal conductivity linearly dependent on temperature. The proposed solution, a fourth-degree polynomial derived over the domain, demonstrates notable accuracy despite its simplicity, as evidenced by the RMS error of 0.0014328220965349. Additionally, if higher accuracy is desired, the Method of Weighted Residuals allows for the incorporation of more subdomains and the use of higher-degree polynomials.
Authors and Affiliations
M. Sandoval-Hernandez, S. E. Torreblanca-Bouchan, G. J. Morales-Alarcon, U. A. Filobello-Nino, V. M. Jimenez-Fernandez, A. R. Escobar-Flores, H. Vazquez-Leal, R. Castañeda-Sheissa, O. Alvarez-Gasca, A. D. Contreras-Hernandez, N. Carrillo-Ramon, J. E Perez-Jacome-Friscione
Keywords
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- EP ID EP759714
- DOI 10.47191/ijmra/v8-i02-21
- Views 31
- Downloads 0
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