Study numerical scheme of finite difference for solution partial differential equation of parabolic type to heat conduction problem

Autor:	Daryono Budi Utomo, A Amiruddin, Lukman Hanafi, Mardlijah Mardlijah
Rok vydání:	2021
Předmět:	History Partial differential equation Numerical analysis Scheme (mathematics) Mathematical analysis Finite difference Explicit method Type (model theory) Thermal conduction Computer Science Applications Education Mathematics
Zdroj:	Journal of Physics: Conference Series. 1821:012032
ISSN:	1742-6596 1742-6588
Popis:	The mathematical formulation of heat conduction problem along the rod involving rates of change with respect to two independent variablels, namely time and length leads to a partial differential equation of parabolic type. The initial and boundaries conditions are known. Finite difference approximations are used as a numerical method approach how to solve heat conduction problem. In this paper, numerical scheme of finite difference should be applied to construct and compute the temperature within a rod by explicit method, implicit method and Crank-Nicolson method.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::57484d853f8a139b108de52f83a562a8 https://doi.org/10.1088/1742-6596/1821/1/012032 Zobrazit plný text záznamu