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Original Articles

Group explicit methods for parabolic equations

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Pages 73-105 | Received 01 Dec 1982, Published online: 20 Mar 2007

References

  • Saul'Yev , V.K. 1964 . Integration of Equations of Parabolic Type by the Method of Nets , New York : Pergamon Press .
  • Larkin , B.K. 1964 . Some stable explicit difference approximations to the diffusion Equation . Math. Comp , 18 : 196 – 202 .
  • Barakat , H.Z. and Clark , J.A. 1966 . On the solution of the diffusion equation by numerical methods . Jour, of Heat Transfer, trans. A.S.M.E , 88 : 421 – 427 . Series C
  • Evans , D.J. 1966 . Simplified implicit methods for the finite difference solutions of parabolic and hyperbolic partial differential equations . J.I.M.A , 2 : 1 – 13 .
  • Abdullah , A.R.B. 1983 . The study of some numberical methods for solving parabolic partial differential equations , Loughborough : Loughborough Univ. of Tech . Ph.D. thesis
  • Kellogg , R.B. 1964 . An alternating direction method for operator equations . S.I.A.M , 12
  • Evans , D.J. and Abdullah , A.R.B. 1983 . A new explicit method for the diffusion equation . Conference Proceedings of Numerical Methods in Thermal Problems . 1983 . Edited by: Lewis , R.W. Seattle : Pineridge Press . Univ. of Washington

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