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International Journal of Computer Mathematics Volume 82, 2005 - Issue 3
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On the application of the SMAGE parallel algorithms on a non-uniform mesh for the solution of non-linear two-point boundary value problems with singularity

D. J. Evans School of Computing and Mathematics, The Nottingham Trent University, Burton Street, Nottingham, NG1 4BU, UK
&
R. K. Mohanty Department of Mathematics, Faculty of Mathematical Sciences, University of Delhi, Delhi, 110 007, IndiaCorrespondence[email protected]
Pages 341-353 | Received 16 May 2004, Published online: 25 Jan 2007

References

References

  • Keller HB 1968 Numerical Methods for Two Points Boundary Value Problems New York Blaisdell Pub. Co.
  • Jain , MK , Iyengar , SRK and Subramanyam , GS . 1984 . Variable mesh methods for the numerical solution of two point singular perturbation problems . Computer Methods in Applied Mechanics and Engineering , 42 : 273 – 286 .
  • Evans , DJ . 1985 . Group explicit iterative methods for solving large linear systems . International Journal of Computer Mathematics , 17 : 81 – 108 .
  • Yousif WS Evans DJ 1989 The AGE method and its variants In: J.C. Baltzer Ag. (Eds) Numerical and Applied Mathematics, Scientific Pub. Co., IMACS 389 394
  • Evans DJ Ahmed AR 1995 The AGE method for solving two and three dimensional elliptic partial differential equations, in high performance computing in engineering: application to partial differential equations Computational Mechanics Publications 1 40
  • Evans , DJ . 1999 . Iterative methods for solving non-linear two point boundary value problems . International Journal of Computer Mathematics , 72 : 395 – 401 .
  • Varga RS 1962 Matrix Iterative Analysis Englewood Cliffs New Jersey Prentice-Hall
  • Hageman LA Young DM 1981 Applied Iterative Methods New York Academic Press

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