Open AccessAlternating Directions Implicit Method for Solving Homogeneous Heat Diffusion Equation
Author(s) -
Bushra Sh. Mahmood,
Awni M. Gaftan,
Firas A. Fawzi
Publication year - 2020
Publication title -
mağallaẗ ibn al-haytam li-l-ʻulūm al-ṣirfaẗ wa-al-taṭbīqiyyaẗ/ibn al-haitham journal for pure and applied sciences
Language(s) - English
Resource type - Journals
eISSN - 2521-3407
pISSN - 1609-4042
DOI - 10.30526/33.2.2427
Subject(s) - alternating direction implicit method , heat equation , homogeneous , diffusion equation , mathematics , explicit and implicit methods , diffusion , mathematical analysis , harmonic , partial differential equation , thermodynamics , physics , exact differential equation , finite difference method , method of characteristics , economy , combinatorics , quantum mechanics , economics , service (business)
An Alternating Directions Implicit method is presented to solve the homogeneous heat diffusion equation when the governing equation is a bi-harmonic equation (X) based on Alternative Direction Implicit (ADI). Numerical results are compared with other results obtained by other numerical (explicit and implicit) methods. We apply these methods it two examples (X): the first one, we apply explicit when the temperature .