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Original Articles

The direct solution of periodic parabolic problems by boundary-value techniques

Pages 169-185 | Received 01 Nov 1983, Published online: 19 Mar 2007

References

  • Evans , D. J. 1971 . The numerical solution of the fourth boundary value problem for parabolic differential equations . J. Inst. Maths. Applies , 7 : 61 – 75 .
  • Carasso , A. and Parter , S. V. 1970 . An analysis of boundary value techniques for parabolic problems . Math. Comp , 24 ( 110 ) : 315 – 340 .
  • Greenspan , D. 1974 . Discrete Numerical Methods in Physics and Engineering , Academic Press .
  • Forsythe , G. E. and Wasow , W. R. 1960 . Finite Difference Methods for Partial Differential Equations , John Wiley .
  • Polozhii , G. N. 1974 . The Method of Summary Representation for the Numerical Solution of Problems of Mathematical Physics , Edited by: Tee , G. J. Pergamon Press .
  • Okolie , S. O. 1978 . The Numerical Solution of Sparse Matrix Equations by Fast Methods and Associated Computational Techniques L.U.T Ph.D. Thesis
  • Evans , D. J. and Okolie , S. O. 1979 . Generalised sparse factorisation method for the solution of periodic tridiagonal systems . C.A.M.W.A , 5 : 211 – 216 .
  • Buzbee , B. L. , Golub , G. H. and Neilson , C. W. 1970 . On direct methods for solving Poisson's equations . SIAM J. Numer. Anal , 7 ( 4 ) : 627 – 656 .
  • Benson , A. and Evans , D. J. 1972 . The successive peripheral block overrelaxation method . J.l.M.A , 9 ( 4 ) : 68 – 79 .

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