Using generating functions to convert an implicit (3,3) finite difference method to an explicit form on diffusion equation with different boundary conditions-Reference-Cited by-同舟云学术

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Using generating functions to convert an implicit (3,3) finite difference method to an explicit form on diffusion equation with different boundary conditions

Published:2015-09-03 Issue:4 Volume:71 Page:827-854
ISSN:1017-1398
Container-title:Numerical Algorithms
language:en
Short-container-title:Numer Algor

Author:

Kazem Saeed,Chadwick Edmund,Hatam Ali^ORCID,Dehghan Mehdi

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics

Link

http://link.springer.com/content/pdf/10.1007/s11075-015-0026-2.pdf

Reference43 articles.

1. Barakat, H.Z., Clark, J.A.: On the solution of the diffusion equations by numerical methods, Transaction of the ASME. J. Heat Transf. 88, 421–427 (1966)

2. Bastani, M., Salkuyeh, D.K.: A highly accurate method to solve Fisher’s equation. Pramana-J. Phys 78, 335–346 (2012)

3. Boumenir, A.: Power series solutions for the KPP equation. Numer Algorithms 43, 177–187 (2006)

4. Burgers, J.A.: A mathematical model illustrating the theory of turbulence. Adv. Appl. Mech. 1, 171–199 (1948)

5. Campbell, L.J., Yin, B.: On the stability of alternating–direction explicit methods for advection–diffusion equations. Numer Methods Partial Differential Eq. 23, 1429–1444 (2007)

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