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Original Articles

The iterative alternating decomposition explicit (iade) method to solve the heat conduction equation

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Pages 219-229 | Published online: 19 Mar 2007

References

  • Evans , D. J. and Sahimi , M. S. 1988 . “ The alternating group explicit iterative method (AGE) to solve parabolic and hyperbolic partial differential equations ” . In Ann. Rev. Num. Fluid Mech. and Heat Trans. , Edited by: Tien , Chang-Lin . Hemisphere Pub. Corp. .
  • Douglas , J. and Rachford , H. H. 1956 . On the numerical solution of heat conduction problems in two or three space variables . Trans. Amer. Math. Soc. , 82 : 421 – 439 .
  • Lapidus , L. and Pinder , G. F. 1982 . Numerical Solution of Partial Differential Equations in Science and Engineering , New York : John Wiley and Sons .
  • Mitchell , R. and Fairweather , G. 1964 . Improved forms of the alternating direction methods of Douglas, Peaceman and Rachford for solving parabolic and elliptic equations . Numer. Math. , 6 : 285 – 285 .
  • Smith , G. D. 1979 . Numerical Solution of Partial Differential Equations: Finite Difference Methods , Oxford : Oxford University Press .
  • Saulev , V. K. 1964 . Integration of Equations of Parabolic Type by the Method of Nets , Oxford : Pergamon Press .
  • Peaceman , D. W. and Rachford , H. H. 1955 . The numerical solution of parabolic and elliptic differential equations . J. Soc. Indust Appl. Maths. , 3 : 28 – 41 .

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