Open AccessA numerical study of Poisson equations: steady heat distribution with one-point source
Author(s) -
Imam Solekhudin
Publication year - 2019
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1367/1/012034
Subject(s) - poisson distribution , reciprocity (cultural anthropology) , distribution (mathematics) , poisson's equation , mathematics , numerical analysis , point source , point (geometry) , mathematical analysis , heat equation , mechanics , physics , geometry , optics , statistics , psychology , social psychology
In this paper, Poisson equations are considered. Especially, equations which governed problems involving steady heat distribution with a point source. The heat distribution problems studied are over thin plates. Generally, these problems may not be solved analytically. Hence, a numerical method called Dual Reciprocity Method (DRM) is employed to solve the problems. Using this method, some of the numerical results are presented and discussed to investigate the influence of source positions to heat distribution over thin plates.