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

L. Hanafi*, M. Mardlijah, D. B. Utomo, A. Amiruddin

*Corresponding author for this work

Research output: Contribution to journalConference articlepeer-review

2 Citations (Scopus)

Abstract

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.

Original languageEnglish
Article number012032
JournalJournal of Physics: Conference Series
Volume1821
Issue number1
DOIs
Publication statusPublished - 29 Mar 2021
Event6th International Conference on Mathematics: Pure, Applied and Computation, ICOMPAC 2020 - Surabaya, Virtual, Indonesia
Duration: 24 Oct 2020 → …

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