Title of article
A Closed-Form Solution for Two-Dimensional Diusion Equation Using Crank-Nicolson Finite Dierence Method
Author/Authors
Shojaei, Iman Align Technology Inc - San Jose, USA , Rahami, Hossein School of Engineering Science - College of Engineering - University of Tehran, Tehran
Pages
7
From page
71
To page
77
Abstract
In this paper a nite dierence method for solving
2-dimensional diusion equation is presented. The
method employs Crank-Nicolson scheme to improve -
nite dierence formulation and its convergence and sta-
bility. The obtained solution will be a recursive formula
in each step of which a system of linear equations should
be solved. Given the specic form of obtained matri-
ces, rather than solving the problem in each step using
conventional iterative methods, a closed-form solution is
formulated.
Keywords
diffusion equation , nite difference method , con- vergence and stability
Journal title
Astroparticle Physics
Serial Year
2019
Record number
2469349
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