USE OF GREEN FUNCTIONS IN MATHEMATICS IN SOLVING PROBLEMS OF INHOMOGENEOUS BOUNDARY VALUES: HEAT CONDUCTION

Authors

DOI:

https://doi.org/10.47820/recima21.v4i3.2947

Keywords:

Differential equations, Function and Green, Heat conduction

Abstract

A Green function is a mathematical function used to solve inhomogeneous differential equations subject to initial conditions or given boundary conditions. This function has applications in various areas of theoretical physics such as mechanics, electromagnetism, acoustics and elementary particle theory. In this work, in order to show the efficiency of this method, an example of practical application in the area of thermal sciences is carried out, from a particularization of the general method deduced.

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Author Biography

Yves Garnard Irilan

Universidade Federal de Santa Catarina - IFSC.

 

References

Beck, J. V., et al., 1992, “Heat Conduction Using Green’s Functions”, Ed. HPC, USA.

Carslaw, H. S., Jaeger, J. C., 1980, “Conduction of Heat in Solids”, Ed. Oxford Science Publications.

Kreyszig, E., 1999, “Advanced Engineering Mathematics”, Ed. John Wiley & Sons, USA, 8Th Edition.

Özisik, M. N., “Heat Conduction”, Ed. John Wiley & Sons, USA.

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Published

26/03/2023

How to Cite

Irilan, Y. G. (2023). USE OF GREEN FUNCTIONS IN MATHEMATICS IN SOLVING PROBLEMS OF INHOMOGENEOUS BOUNDARY VALUES: HEAT CONDUCTION. RECIMA21 - Revista Científica Multidisciplinar - ISSN 2675-6218, 4(3), e432947. https://doi.org/10.47820/recima21.v4i3.2947

Issue

Vol. 4 No. 3 (2023): EDITORIAL - CLICK HERE TO ACCESS THE ARTICLES

Section

ARTIGOS

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Copyright (c) 2023 RECIMA21 - Revista Científica Multidisciplinar - ISSN 2675-6218

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