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Original Articles

Numerical methods for the solution of special sixth-order boundary-value problems

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Pages 207-223 | Published online: 20 Mar 2007

References

  • Agarwal , R. P. 1986 . Boundary-Value Problems for Higher-Order Differential Equations , Singapore : World Scientific .
  • Baldwin , P. 1987 . A localized instability in a Bénard layer . Applicable Analysis , 24 : 117 – 156 .
  • Baldwin , P. 1987 . Asymptotic estimates of the eigenvalues of a sixth-order boundary-value problem obtained by using global phase-integral methods . Phil. Trans. R. Soc. Lond. A , 322 : 281 – 305 .
  • Boutayeb A. Numerical Methods for High-Order Ordinary Differential Equations with Applications to Eigenvalue Problems Brunei University 1991 Ph.D. Thesis
  • Chandrasekhar , S. 1961 . Hydrodynamic and Hydromagnetic Stability , Oxford : Clarendon Press . Reprinted: Dover Books, New York, 1981
  • Chawla , M. M. and Katti , C. P. 1979 . Finite difference methods for two-point, boundary-value problems involving higher-order differential equations . BIT , 19 : 27 – 33 .
  • Glatzmaier , G. A. 1985 . Numerical simulations of stellar convective dynamics III: at the base of the convection zone . Geophysics and Astrophysics Fluid Dynamics , 31 : 137 – 150 .
  • Toomre , J. , Zahn , J. R. , Latour , J. and Spiegel , E. A. 1976 . Stellar convection theory II: single-mode study of the second convection zone in A-type stars . Astrophys. J. , 207 : 545 – 563 .
  • Twizell , E. H. 1988 . “ A second-order convergent method for sixth-order boundary-value problems ” . In Numerical Mathematics , Edited by: R. P , Agarwal , Chow , Y. M. and Wilson , S. J. 495 – 506 . Basel, , Singapore : Birkhauser Verlag .
  • Twizell , E. H. and Boutayeb , A. 1990 . Numerical methods for the solution of special and general sixth-order boundary-value problems, with applications to Bénard layer eigenvalue problems . Proc. R. Soc. Lond. A , 431 : 433 – 450 .

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