Solution of two dimensional quasi-harmonic equations with CA approach

F. Rezaie Moghaddam, M. Pasbani Khiavi, J. Amani, T. Rezaie Moghaddam

Research output: Contribution to journalArticleScientificpeer-review

Abstract

Many computational techniques were applied to solution of heat conduction problem. Those techniques were the finite difference (FD), finite element (FE) and recently meshless methods. FE is commonly used in solution of equation of heat conduction problem based on the summation of stiffness matrix of elements and the solution of the final system of equations. Because of summation process of finite element, convergence rate was decreased. Hence in the present paper Cellular Automata (CA) approach is presented for the solution of heat conduction problem. Each cell considered as a fixed point in a regular grid lead to the solution of a system of equations is substituted by discrete systems of equations with small dimensions. Results show that CA can be used for solution of heat conduction problem.

Original languageEnglish
Pages (from-to)229-234
Number of pages6
JournalWorld Academy of Science, Engineering and Technology
Volume36
Publication statusPublished - 2009
Externally publishedYes

Keywords

  • Cellular automata
  • Convergence rate
  • Discrete system
  • Heat conduction

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    Rezaie Moghaddam, F., Pasbani Khiavi, M., Amani, J., & Rezaie Moghaddam, T. (2009). Solution of two dimensional quasi-harmonic equations with CA approach. World Academy of Science, Engineering and Technology, 36, 229-234.