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Original Articles

The spline alternating group explicit (splage) method

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Pages 245-263 | Received 10 Sep 1995, Published online: 20 Mar 2007

References

  • Abdullah A.R.B. The Study of Some Numerical Methods for Solving Parabolic Partial Differential Equations, Ph.D. Loughborough Univ 1983
  • Birkhoff , G. , Varga , R.S and Young , D . 1962 . “ Alternating Direction Implicit Methods Advances in Computers ” . Vol. 3 , New York, London : Academic Press .
  • 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 .
  • Papamichael , N. and Whiteman , J.R . 1973 . A Cubic Spline Technique for the One Dimensional Heat Conduction Equation . J. Inst. Maths. Applics , 11 : 111 – 113 .
  • Peaceman , D.W. and Rachford , H.H . 1955 . The numerical Solution of Parabolic and Elliptic Differential Equations . J. Soc. Indust. Appl. Math , 3 ( 1 )
  • Varga , R.S. 1962 . “ Matrix Iterative Analysis ” . Prentice-Hall, Inc .
  • Wachspress , E.L. 1966 . “ Iterative Solution of Elliptic Systems and Application to the neutron Diffusion Equations of Reactor Physics ” . Prentice Hall .
  • Young , D. 1971 . “ Iterative Solution of Large Systems ” . Acad. Press .
  • Kadhum N.I. The Spline Approach to the Numerical Solution of Parabolic Partial Differential equations PhD. Loughborough Univ 1988

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