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Original Articles

Explictt two-level finite-difference methods for the two-dimensional diffusion equation

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Pages 223-236 | Received 19 Aug 1991, Published online: 19 Mar 2007

References

  • Bear , J. 1972 . Dynamics of Fluids in Porous Media , Amsterdam : Elsevier Publishers .
  • Carslaw , H.S. and Jaeger , J.C. 1959 . Conduction of Heat in Solids , London : Clarendon Press . second edition
  • Evans , D.J. and Sahimi , M.S. 1988 . The alternating group explicit(AGE)iterative method for solving parabolic equations I: 2-dimensional problems . Intern, J. Computer Math , 24 : 311 – 341 .
  • Evans , D.J. and Abdullah , A.R.B. 1983 . A new explicit method for the solution of . Intern, J. Computer Math , 14 : 325 – 353 .
  • Noye , B.J. and Hayman , K.J. 1991 . “ Implicit two-level finite difference methods for the two-dimensional diffusion equation ” . In Intern.J. Computer Maths to be submitted
  • Noye , B.J. and Hayman , K.J. 1991 . “ LOD and ADI methods for the two-dimensional diffusion equation ” . In Intern,J. Computer Maths to be submitted
  • Noye , B.J. and Hayman , K.J. 1986b . “ Accurate finite difference methods for solving the advection-diffusion equation ” . In Computational Techniques and Applications: CTAC-85 , Edited by: Noye , B.J. and May , R.L. 137 – 158 . Amsterdam : North-Holland Publishing .
  • Noye , B.J. and Hayman , K.J. 1986a . “ An accurate five-point explicit method for solving the one-dimensional linear diffusion equation ” . In Computational Techniques and Applications: CTAC-85 , Edited by: Noye , B.J. and May , R.L. 205 – 216 . Amsterdam : North-Holland Publishing .
  • O'Brien , G.G. , Hyman , M.A. and Kaplan , S. 1950 . A study of the numerical solution of partial differential equations . J.Math. Phys , 29 : 223 – 251 .
  • Lax , P.D. and Richtmyer , R.D. 1956 . Survey of the stability of linear finite-difference equations . Comm.Pure Appl, Math , 9 : 267 – 293 .
  • Smith , G.D. 1985 . Numerical Solution of Partial Differential Equations: Finite Difference Methods , Oxford : Clarendon Press . Oxford Applied Mathematics and Computing Science Series
  • Roache , P.J. 1974 . Computational Fluid Dynamics , Albuquerque : Hermosa Publishers .
  • Noye , B.J. 1984 . “ Finite difference techniques for partial differential equations ” . In Computational Techniques for Differential Equations Edited by: Noye , J. Vol. 83 , 95 – 354 . North-Holland Mathematics Studies
  • Evans , D.J. and Hatzopoulos , M. 1976 . The solution of certain banded systems of linear equations using the folding algorithm . The Computer Journal , 19 : 184 – 187 .

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