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Original Articles

The iterative alternating decomposition explicit (iade) method to solve second order parabolic equations with periodic boundary conditions

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Pages 453-465 | Received 28 Aug 1998, Published online: 19 Mar 2007

References

  • Sahimi , M.S. , Ahmad , A. and Bakar , A.A. 1992 . The iterative alternating decomposition explicit (IADE) method to solve the heat conduction equation . Inter. J. Computer Math , 47 : 219 – 229 .
  • 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 , Vol. 2 , Hemisphere Pub. Corp .
  • Mitchell , A.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
  • 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 .
  • 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 .
  • Lapidus , L. and Pinder , G.F. 1982 . Numerical Solution of Partial Differential Equations in Science and Engineering , New York : John Wiley and Sons .
  • Abdullah , A.R. 1983 . The study of some numerical methods for solving parabolic partial differential equations , Loughborough University of Technology . Ph.D. Thesis

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