Advanced search
Publication Cover
International Journal of Computer Mathematics Volume 20, 1986 - Issue 2
Submit an article Journal homepage
15
Views
1
CrossRef citations to date
0
Altmetric
Original Articles

A fourth order multiderivative method for linear second order boundary value problems

S. I. A. Tirmizi Brunei University, Department of Mathematics and Statistics, Uxbridge, Middlesex, UB8 3PH, UK
&
E. H. Twizell Brunei University, Department of Mathematics and Statistics, Uxbridge, Middlesex, UB8 3PH, UK
Pages 145-155 | Received 01 Jul 1985, Published online: 19 Mar 2007

References

  • Ahlberg , J. H. , Nilson , E. N. and Walsh , J. L. 1967 . The Theory of Splines and Their Applications , New York : Academic Press .
  • Ahlberg , J. H. and Ito , T. 1975 . A collocation method for two-point boundary value problems . Math. Comp. , 29 : 761 – 776 .
  • Albasiney , E. L. and Hoskins , W. D. 1969 . Cubic spline solutions to two point boundary value problems . Computer Journal , 12 : 151 – 153 .
  • Bickley , W. G. 1968 . Piecewise cubic interpolation and two-point boundary value problems . Computer Journal , 11 : 202 – 208 .
  • Burden , R. L. , Faires , J. D. and Reynolds , A. C. 1981 . Numerical Analysis , Boston : Weber and Schmidt . Prindle
  • Fyfe , D. F. 1969 . The use of cubic splines in the solution of two-point boundary value problems . Computer Journal , 12 : 188 – 192 .
  • Gerald , C. F. and Wheatley , P. O. 1984 . Applied Numerical Analysis , Reading, Massachusetts : Addison-Wesley .
  • Henrici , P. 1962 . Discrete Variable Methods in Ordinary Differential Equations , New York : John Wiley and Sons .
  • Jain , M. K. 1984 . Numerical Solution of Differential Equations , New Dehli : Wiley Eastern Limited .
  • Khalifa , A. K. A. and Eilbeck , J. C. 1982 . Collocation with quadratic and cubic splines . IMA J. Numer. Anal. , 2 : 111 – 121 .
  • Lambert , J. D. 1973 . Computational Methods in Ordinary Differential Equations , Chichester : John Wiley and Sons .
  • Roberts , S. M. and Shipman , J. S. 1972 . Two-point Boundary Value Problems, Shooting Methods , New York : American Elsevier .
  • Russell , R. D. and Shampine , L. F. 1972 . A collocation method for boundary value problems . Numer. Math. , 19 : 1 – 28 .
  • Usmani , R. A. 1971 . An 0(h 6) finite difference analogue for the numerical solution of a two point boundary value problem . J. Inst. Maths. Appl. , 8 : 335 – 343 .
  • Usmani , R. A. and Warsi , S. A. 1983 . Quintic spline solutions of boundary value problems . Computer & Maths, with Appl. , 6 : 197 – 203 .

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:

Order Reprints Request Corporate Permissions

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:

Request Academic Permissions

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.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.