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Original Articles

The numerical solution of multidimensional partial differential equations by the explicit alternating direction (ead) method

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Pages 97-114 | Received 15 Oct 1994, Published online: 19 Mar 2007

References

  • Ahmad A. R. B. The AGE Iterative Methods for Solving Large Linear Systems Occurring in Differential Equations Ph.D. Thesis Loughborough University of Technology 1993
  • Douglas , J. 1962 . Alternating Direction Methods for Three Space Variables . Numer. Math. , 4 : 41 – 63 .
  • Douglas , J. and Rachford , H. H. 1956 . On the Numerical Solution of Heat Conduction Problems in Two and Three Space Variables . Trans. Amer. Maths. Soc , 82 : 421 – 439 .
  • Evans , D. J. 1985 . Group Explicit Iterative Methods for Solving Large Linear Systems . Int. J. Comp. Maths. , 17 : 81 – 108 .
  • Guittet , J. 1967 . Une Nouvelle Methode de Directions Alternees a q Variables . Journ. Math. Anal, and App. , 17 : 199 – 213 .
  • Peaceman , D. W. and Rachford , H. H. 1955 . The Numerical Solution of Parabolic and Elliptic Differential Equations . J. Soc. Indus. Appl. Math , 3 : 28 – 41 .

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