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Modeling of heat transport phenomena using the equations of mathematical physics

dc.contributor.authorNolasco Serna, Christian
dc.contributor.authorAfanador García, Nelson
dc.contributor.authorGuerrero Gómez, Gustavo
dc.coverage.spatialColombiaen_US
dc.date.accessioned2025-10-15T15:30:43Z
dc.date.available2025-10-15T15:30:43Z
dc.date.issued2021-02-20
dc.identifier.issn1742-6596en_US
dc.identifier.urihttps://repositorioinstitucional.ufpso.edu.co/xmlui/handle/20.500.14167/5748
dc.description.abstractThe study of physical phenomena that include conservative principles is part of the research field of the equations of mathematical physics. To deepen in methods to solve the equations of mathematical physics is a contribution in understanding the modeling of applications in different areas. This research studies the physical phenomenon of heat transport with convection from the viewpoint of modeling with differential equations. The advantage of working with equations is to apply the techniques of mathematical analysis and numerical methods to obtain the temperature function. In the research, the solution of the heat transport model is computed according to the analytical method of separable variables in order to represent the temperature function as a trigonometric series. With the help of a simple numerical method, it is possible to derive a scheme of calculation of the temperature function. By performing a case study, the methods are compared, and their fit is verified by simulationen_US
dc.language.isoengen_US
dc.relationhttps://iopscience.iop.org/journal/1742-6596en_US
dc.titleModeling of heat transport phenomena using the equations of mathematical physicsen_US
dc.title.translatedModeling of heat transport phenomena using the equations of mathematical physicsen_US
dc.contributor.cvlac[0000016699]en_US
dc.contributor.googlescholar[DriRZs4AAAAJ]en_US
dc.contributor.googlescholar[8Uk1lqUAAAAJ&hl]en_US
dc.contributor.googlescholar[La8nZsAAAAAJ&hl]en_US
dc.contributor.orcid[0000-0001-6923-3388]en_US
dc.contributor.researchgate[Christian-Serna]en_US
dc.contributor.scopus[57212415000]en_US
dc.description.abstractenglishThe study of physical phenomena that include conservative principles is part of the research field of the equations of mathematical physics. To deepen in methods to solve the equations of mathematical physics is a contribution in understanding the modeling of applications in different areas. This research studies the physical phenomenon of heat transport with convection from the viewpoint of modeling with differential equations. The advantage of working with equations is to apply the techniques of mathematical analysis and numerical methods to obtain the temperature function. In the research, the solution of the heat transport model is computed according to the analytical method of separable variables in order to represent the temperature function as a trigonometric series. With the help of a simple numerical method, it is possible to derive a scheme of calculation of the temperature function. By performing a case study, the methods are compared, and their fit is verified by simulationen_US
dc.subject.proposalmathematical physics,phenomena,Analytical solutionen_US
dc.subject.keywordsmathematical physics,phenomena,Analytical solutionen_US
dc.publisher.facultyFacultad educación artes y humanidadesen_US
dc.type.redcolhttp://purl.org/redcol/resource_type/ARTen_US
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dc.identifier.DOI10.1088en_US


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