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Article
Some Approaches for Using Stationary Iterative Methods to Linear Equations Generated from the Boundary Element Method
International Journal of Applied Mathematics and Physics (2012)
  • HS Najafi, University of Guilan
  • SA Edalatpanah, University of Guilan
  • B Parsa Moghaddam
Abstract

For linear equations, there are numerous stationary iterative methods. However, these methods are not applicable in some important problems such as linear system arising from the boundary element method (BEM). In this paper, we proposed two approaches for using stationary iterative methods to linear equations arising from the BEM for the Laplace and convective diffusion with first-order chemical reaction problems. Our proposed methods are simple and graceful. Finally, numerical example is given to show the efficiency of our results.

Keywords
  • Stationary iterative methods,
  • First-order chemical reaction,
  • Boundary element method,
  • FIM methods,
  • Gauss-Seidel,
  • Preconditioning methods.
Publication Date
March 1, 2012
Citation Information
HS Najafi, SA Edalatpanah and B Parsa Moghaddam. "Some Approaches for Using Stationary Iterative Methods to Linear Equations Generated from the Boundary Element Method" International Journal of Applied Mathematics and Physics Vol. 4 Iss. 2 (2012)
Available at: http://works.bepress.com/sa_edalatpanah/7/