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Original Articles

The numerical solution of a coupled system of elliptic equations using the age fractional scheme

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Pages 65-87 | Received 15 Apr 1993, Published online: 19 Mar 2007

References

  • Evans , D. J. and Sahimi , M. S. 1988 . The Alternating Group Explicit (AGE) Iterative method for solving parabolic equations I: 2-dimensional problem . Int. J. Comp. Maths. , 24 : 311 – 341 .
  • Carnahan , B. , Luther , H. A. and Wiles , J. O. 1969 . Applied Numerical Methods , New York : John Wiley and Sons .
  • Sahimi , M. S. and Evans , D. J. 1992 . The AGE Solution of the biharmonic equation for the deflection of a uniformly loaded square plate , Computer Studies Rep. . 748 L.U.T.
  • Greenspan , D. 1974 . Discrete Numerical Methods in Physics and Engineering , New York : Academic Press, Inc. .
  • Greenspan , D. 1968 . Lectures on the Numerical Solution of Linear, Singular and Nonlinear Differential Equations , Englewood Cliffs : Prentice-Hall Inc. .
  • Evans , D. J. and Sahimi , M. S. 1988 . “ The alternating group explicit (AGE) iterative method to solve parabolic and hyperbolic partial differential equations ” . In Ann. Rev. Num. Fluid Mechanics and Heat Transfer , Edited by: Tien , C. C. and Chawla , T. C. Vol. II , 283 – 389 . Hemisphere Pub. .
  • Evans , D. J. and Abdul Wahab , B. J. 1985 . “ Finite Element solution of the Navier-Stokes Equations ” . In Numerical Methods in Laminar and Turbulent Flow, Part I , Edited by: Taylor , C. , Olson , M. D. , Gresho , P. M. and Habashi , W. G. 454 – 467 . Pineridge Press .

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