Title :
Analysis of time-dependent problems using the Exodus method
Author :
Sadiku, M.N.O. ; Akujuobi, C.M. ; Musa, S.M. ; Nelatury, S.R.
Author_Institution :
Prairie ViewA&M Univ., Prairie View
Abstract :
The Monte Carlo method is well known for solving static problems such as Laplace´s or Poisson ´s equation. In this paper, we extend the applicability of the conventional Monte Carlo method to solve time-dependent (heat) problems. We apply the Exodus method to these problems, which is not subject to randomness, as are the classical Monte Carlo methods. We present results in one- dimensional (1-D) and two-dimensional (2-D) that agree with the exact solutions.
Keywords :
Monte Carlo methods; Monte Carlo method; exodus method; time-dependent problem analysis; Communications technology; Educational institutions; Eigenvalues and eigenfunctions; Finite difference methods; Integral equations; Monte Carlo methods; Partial differential equations; Poisson equations; Random processes; Two dimensional displays;
Conference_Titel :
Southeastcon, 2008. IEEE
Conference_Location :
Huntsville, AL
Print_ISBN :
978-1-4244-1883-1
Electronic_ISBN :
978-1-4244-1884-8
DOI :
10.1109/SECON.2008.4494314
