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Original Articles

Fast group explicit algorithms for diffusion problems

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Pages 181-197 | Received 01 Sep 1986, Published online: 19 Mar 2007

references

  • Evans , D. J. and Abdullah , A. R. 1983 . Group explicit methods for parabolic equations . Intern. J. Computer Math. , 14 : 73 – 105 .
  • Abdullah , A. R. and Evans , D. J. 1983 . “ New explicit method for the numerical solution of the diffusion-convection equation ” . In Numerical Methods in Laminar and Turbulence Flow , Edited by: Taylor , C. 951 – 962 . Pineridge Press .
  • Evans , D. J. and Abdullah , A. R. 1983 . A new explicit method for the solution of ∂ u/∂ t = ∂ 2 u/∂ x 2 + ∂ 2 u/∂ y 2 . Intern. J. Computer Math. , 14 : 325 – 353 .
  • Evans , D. J. and Abdullah , A. R. 1984 . The group explicit method for the solution of Burger's equation . Computing , 32 : 239 – 253 .
  • Abdullah A. R The study of some numerical methods for solving parabolic partial differential equations Ph.D. Thesis Loughborough University of Technology 1983
  • Saul'yev , V. K. 1964 . Integration of Equations of Parabolic Type by the Method of Nets , New York : Macmillan .
  • Kellogg , R. B. 1964 . An alternating direction method for operator equations . SIAM , 12 ( No. 4 )

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