1M. Sandoval-Hernandez, 1S. E. Torreblanca-Bouchan, 2G.J. Morales-Alarcon, 3U. A. Filobello-Nino, 3V.M. Jimenez-Fernandez, 3A. R. Escobar-Flores, 3H. Vazquez-Leal, 3R.Castañeda-Sheissa, 3O. Alvarez-Gasca, 3A.D. Contreras-Hernandez, 3N. Carrillo-Ramon, 3J. E Perez-Jacome-Friscione
1Centro de Bachillerato Tecnológico industrial y de servicios No. 190, Av. 15 Col. Venustiano Carranza 2da Sección, Boca del Río, 94297, Veracruz, México.
2Doctorado en Investigación e Innovación Educativa. Facultad de Filosofía y Letras Benemérita Universidad Autónoma de Puebla, Col. Centro Histórico, C. P. 72000, Puebla, Pue.
3Facultad de Instrumentación Electrónica, Universidad Veracruzana, Circuito Gonzalo Aguirre Beltrán S/N, Xalapa, 91090, Veracruz, México
DOI : https://doi.org/10.47191/ijmra/v8-i02-21Google Scholar Download Pdf
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.
KEYWORDS:Nonlinear differential equations, boundary value problems, heat problems. Numerical analysis
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