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International Journal of Computer Mathematics Volume 67, 1998 - Issue 3-4
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Original Articles

A family of third-order parallel splitting methods for parabolic partial differential equations

M.S.A. Taj Department of Mathematics and Statistics, Brunei University, Uxbridge, Middlesex, UB8 3PH, England
&
E.H. Twizell Department of Mathematics and Statistics, Brunei University, Uxbridge, Middlesex, UB8 3PH, England
Pages 411-433 | Received 10 Jun 1996, Published online: 19 Mar 2007

References

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  • Lawson , J.D. and Morris , J. 1978 . The extrapolation of first order methods for parabolic PDE's, I . SIAM J. Numer. Anal , 15 ( 6 ) : 1212 – 1224 .
  • Lawson , J.D. and Swayne , D.A. A simple efficient algorithm for the solution of heat conduction problems . Proceedings of the Sixth Manitoba Conference on Numerical Mathematics . October 2
  • Mitchell , A.R. and Griffiths , D.F. 1980 . The Finite Difference Method in Partial Differential Equations , New York : John Wiley .
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  • Taj , M.S.A. 1995 . Ph.D.Thesis , Uxbridge, , England : Brunei University .
  • Twizell , E.H. , Khaliq , A.Q.M. and Voss , D.A. 1993 . Sequential and parallel algorithms for second-order initial-value problems . WSSIAA , 2 : 399 – 412 .
  • Twizell , E.H. , Gumel , A.B. and Arigu , M.A. 1996 . Second-orderL o-stable methods for the heat equation with time-dependent boundary conditions . Advances in Computational Mathematics , 6 : 333 – 352 .
  • Voss , D.A. and Khaliq , A.Q.M. 1995 . Parallel LOD methods for second order time dependent PDEs . Computers Math. Applic , 30 : 25 – 35 .
  • Zakian , V. 1971 . Comment on rational approximations to the matrix exponential . Electron. Lett , 7 : 261 – 262 .

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