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Original Articles

A new explicit method for the solution of

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Pages 325-353 | Received 01 Jun 1983, Published online: 20 Mar 2007

References

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  • Barakat , H.Z. and Clark , J.A. 1966 . On the solution of the diffusion equation by numerical methods . Jour. of Heat Transfer, A.S.M.E , 88 : 421 – 427 . Series C
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  • Douglas , J. Jr and Rachford , H.H. Jr . 1956 . On the numerical solution of heat conduction problems in two or three space variables . Trans. Amer. Math. Soc , 82 : 421 – 439 .
  • Kellogg , R.B. 1964 . An alternating direction method for operator equations . S.I.A.M , 12
  • Larkin , B.K. 1964 . Some stable explicit difference approximations to the diffusion equation Math. Comp , 18 : 196 – 202 .
  • Peaceman , D.W. and Rachford , H.H. Jr . 1955 . The numerical solution of parabolic and elliptic differential equations . J. Soc. Indust. Appl. Math , 3 : 28 – 41 .
  • Saul'yev , V.K. 1964 . Integration of Equations of Parabolic Type by the Method of Nets , New York : Macmillan .
  • Evans , D.J. and Abdullah , A.R.B. 1983 . Group explicit methods for parabolic equations . Int. Jour. Comp. Math , 14 : 73 – 92 .

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