Analysis of time-dependent problems using the Exodus Method

M. N.O. Sadiku; C. M. Akujuobi; S. M. Musa; Sudarshan Rao Nelatury

doi:10.1109/SECON.2008.4494314

Analysis of time-dependent problems using the Exodus Method

M. N.O. Sadiku, C. M. Akujuobi, S. M. Musa, Sudarshan Rao Nelatury

School of Engineering (Behrend)

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

2 Scopus citations

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.

Original language	English (US)
Title of host publication	IEEE SoutheastCon 2008
Pages	329-333
Number of pages	5
DOIs	https://doi.org/10.1109/SECON.2008.4494314
State	Published - Aug 28 2008
Event	IEEE SoutheastCon 2008 - Huntsville, AL, United States Duration: Apr 3 2008 → Apr 6 2008

Publication series

Name	Conference Proceedings - IEEE SOUTHEASTCON
ISSN (Print)	0734-7502

Other

Other	IEEE SoutheastCon 2008
Country	United States
City	Huntsville, AL
Period	4/3/08 → 4/6/08

All Science Journal Classification (ASJC) codes

Electrical and Electronic Engineering

Access to Document

10.1109/SECON.2008.4494314

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Cite this

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title = "Analysis of time-dependent problems using the Exodus Method",

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.",

author = "Sadiku, {M. N.O.} and Akujuobi, {C. M.} and Musa, {S. M.} and Nelatury, {Sudarshan Rao}",

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AU - Sadiku, M. N.O.

AU - Akujuobi, C. M.

AU - Musa, S. M.

AU - Nelatury, Sudarshan Rao

PY - 2008/8/28

Y1 - 2008/8/28

N2 - 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.

AB - 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.

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