Alternating Direction Implicit Method for Solving Heat Diffusion Problems
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Abstract
The objective of this paper to find the solution of fractional partial differential equations using numerical methods to solve heat diffusion problems and this method is the implicit alternating direction method ADI with discussion of its algorithm and by this method it is possible to solve heat diffusion problems in a shorter time as well as obtain more accurate results compared to other numerical methods
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[1] Boling G.; Xueke P.; Fenghui H. (2011),
(Fractional Partial Differential Equations and their
Numerical Solutions), Institute of Applied Physical
and Computational Mathematics, China, University
of Technology.
[2] Horak V. and Gruber p.," Parallel Numerical
Solution of 2-D Heat Equation", Parallel Numerics ,
2005 pp.47-56
[3] De-Turck D., "Solving the Heat Equation",
University of Pennsylvania, USA, Math,
2012,241,pp.1-12 .
[4] Jacob N., "Theta Method Comparative Study of
2D Asymmetric Diffusion Problem With Convection
on the Wall ", W seas transactions on fluid mechanics
,2015,10,p.35-46.
[5] Mahmood, Bushra Sh.; Gaftan, Awni M. and
Fawzi, Firas A. (2020) , (Alternating Direction
Implicit Method for solving Heat Diffusion
Equation), Ibn Al-Haitham Journal for Pure and
Applied science, 33, 2, 62-71.
[6] Ashaju Abimbola, Samson Bright, (2015),
(Alternating –Direction Implicit Finite – Difference
Method for Transient 2D Heat Transfer in a Metal
Bar using Finite Differences method) , International
Journal of Scientific & Engineering Research, 6 (6) .
[7] Tian, Z.F. Ge, T.B. (2007), (A fourth- Order
compact ADI method for solving two-dimensional
unsteady Convection-diffusion problems),
ELSEVIER, journal of Computational and Applied
Mathematics, 198 : 268-286.
[8] Aderito, Araujo, Cidalia, Neres Ercilia, ,(2014),
(An Alternating Direction Implicit method for
second-order), S.1: ELSEVIERA, applied
Mathematics and Computation, 239: 17-28.
[9] Dehghan, M. (2002), ( A new ADI Technique for
Two-Dimensional Parabolic Equation with an
Integral condition ) , PERGAMON, Computers and
Mathematics with Applications, 43(2002), :1477-
1488.
