Corpus ID: 1822762

A Pseudo-Spectral Method for Solving Partial Differential Equations in Irregular Domains

@inproceedings{Izadian2012APM,
  title={A Pseudo-Spectral Method for Solving Partial Differential Equations in Irregular Domains},
  author={J. Izadian and S. Kavoosi and M. Jalili},
  year={2012}
}
A numerical method for solving a reaction -diffusion Partial Differential Equations (PDEs) in irregular domains with spatial boundary conditions in 2D and 3D is proposed. The idea of the proposed method is to embed the given irregular domain in a cell type domain and to constitute a new PDE, with Dirichlet boundary conditions, using a particular auxiliary function that permits to determine the solution of the new problem such that satisfies the equations of the main problem on initial irregular… Expand
1 Citations

Figures and Tables from this paper

A Generalized FDM for solving the Poisson’s Equation on 3D Irregular Domains
  • 2
  • PDF

References

SHOWING 1-10 OF 12 REFERENCES
A Fast 3D Multigrid Based Space-Charge Routine in the GPT Code
  • 9
  • PDF
Introduction to Numerical Analysis
  • 3,580
  • PDF
Impulses and Physiological States in Theoretical Models of Nerve Membrane.
  • 4,449
  • PDF
Spectral Methods In Mathlab, SIAM
  • 2000
Application Guide to PseudoSpectral Methods
  • 1996
Numerical Methods for Partial Dierential Equations
  • 23
New Methods for Solving Poisson Equation on Irregular Domains
  • Appl. Math. Sciences
  • 2012
Spectral Methods for Partial Differential Equation In Irregular Domains
  • SIAM J. Sci. Comput
  • 2006
...
1
2
...