11
Views
17
CrossRef citations to date
0
Altmetric
Original Articles

Quasilinearization and approximate quasilinearization for lidstone boundary value problems

&
Pages 99-116 | Received 24 Jun 1991, Published online: 20 Mar 2007

References

  • Agarwal , R.P. and Akrivis , G. 1982 . Boundary value problems occurring in plate deflection theory . J.Comp. Appl. Math , 8 : 145 – 154 .
  • Agarwal , R.P. 1985 . Quasilinearization and approximate quasilinearization for multipoint boundary value problems . J. Math. Anal. Appl , 107 : 317 – 330 .
  • Agarwal , R.P. 1986 . Boundary Value Problems for Higher Order Differential Equations , Singapore : World Scientific .
  • Agarwal , R.P. and Wong , P.J.Y. 1989 . Lidstone polynomials and boundary value problems . Computers Math. Applic , 17 : 1397 – 1421 .
  • Baldwin , P. 1987 . “ Asymptotic estimates of the eigenvalues of a sixth-order boundary-value problem obtained by using global phase-integral method ” . In Phil. Trans. R. Soc , Vol. A322 , 281 – 305 . London .
  • Baldwin , P. 1987 . Localised instability in a Bénard layer . Applicable Analysis , 24 : 117 – 156 .
  • Bellman , R.E. and Kalaba , R.E. 1965 . Quasilinearization and Nonlinear Boundary Value Problems , New York : Elsevier .
  • 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 .
  • Lee , E.S. 1968 . Quasilinearization and Invariant Imbedding , New York : Academic Press .
  • Aslam.Noor , Muhammad and Tirmizi , S.I.A. 1986 . Numerical methods for unilateral problems . J. Comp. Appl Math , 16 : 387 – 395 .
  • 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 an A-type star . Astrophys. J , 207 : 545 – 563 .
  • Twizell , E.H. and Tirmizi , S.I.A. 1986 . A sixth order multiderivative method for two beam problems . Int. J. Numer. Methods Engg , 23 : 2089 – 2102 .
  • Twizell , E.H. and Tirmizi , S.I.A. 1988 . Multiderivative methods for nonlinear beam problems . Comm, Appl. Numer. Methods , 4 : 43 – 50 .
  • Twizell , E.H. 1988 . Numerical methods for sixth-order boundary value problems . International Series of Numerical Mathematics , 86 : 495 – 506 .
  • Usmani , R.A. 1981 . Solving boundary value problems in plate deflection theory . Simulation , 86 December : 195 – 206 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.