Advanced search
Publication Cover
International Journal of Computer Mathematics Volume 88, 2011 - Issue 16
Submit an article Journal homepage
112
Views
0
CrossRef citations to date
0
Altmetric
Section B

Spline collocation method with four parameters for solving a system of fourth-order boundary-value problems

Suliman M. Mahmoud Department of Mathematics, Faculty of Science, Tishreen University, Lattakia, SyriaCorrespondence[email protected]
Pages 3468-3482 | Received 14 Jul 2010, Accepted 17 Jun 2011, Published online: 31 Aug 2011

References

  • Al-Said , E. A. and Noor , M. A. 2002 . Quartic spline method for solving fourth order obstacle boundary value problems . J. Comput. Appl. Math , 143 ( 1 ) : 107 – 116 .
  • Al-Said , E. A. and Noor , M. A. 2004 . Finite difference method for solving fourth-order obstacle problems . Int. J. Comput. Math , 81 ( 6 ) : 741 – 748 .
  • El-Hawary , H. M. and Mahmoud , S. M. 2002 . On some 4-point spline collocation methods for solving ordinary initial value problem . Int. J. Comput. Math , 79 ( 8 ) : 931 – 944 .
  • Geng , F. and Lin , Y. 2008 . Numerical solution of a system of fourth order boundary value problems using variational iteration method . Appl. Math. Comput , 200 : 231 – 241 .
  • Hairer , E. , Norsett , S. P. and Wanner , G. 1993 . Solving Ordinary Differential Equations-Nonstiff Problems , New York : Springer .
  • Hall , G. and Watt , J. M. 1976 . Modern Numerical Methods for Ordinary Differential Equations , Oxford : Clarendon Press .
  • Mahmoud , S. M. 2007 . Quintic spline collocation methods for the solution of linear second-order boundary value problems . Tishreen Univ. J. Stud. Scient. Res.-Basic Sci. Ser , 29 ( 1 ) : 204 – 219 .
  • Mahmoud , S. M. and Osman , M. Sh. 2009 . On a class of spline collocation methods for solving second-order initial value problems . Int. J. Comput. Math , 86 ( 4 ) : 616 – 630 .
  • Rashidinia , J. , Mohammadi , R. , Jalilian , R. and Ghasemi , M. 2007 . Convergence of cubic-spline approach to the solution of a system of boundary-value problems . Appl. Math. Comput , 192 : 319 – 331 .
  • Siddiqi , S. S. and Akram , G. 2007 . Solution of the system of fourth order boundary value problems using non polynomial spline technique . Appl. Math. Comput , 185 : 128 – 135 .
  • Siddiqi , S. S. and Akram , G. 2007 . Numerical solution of a system of fourth order boundary value problems using cubic non-polynomial spline method . Appl. Math. Comput , 190 ( 1 ) : 652 – 661 .
  • Siddiqi , S. S. and Akram , G. 2007 . Solution of the system of fourth order boundary value problems using cubic spline . Appl. Math. Comput , 187 ( 2 ) : 1219 – 1227 .
  • Siraj-ul-Islam , Tirmizi , I. A. , Haq , F. and Taseer , S. K. 2008 . Family of numerical methods based on non-polynomial splines for solution of contact problems . Commun. Nonlinear Sci. Numer. Simul , 13 : 1448 – 1460 .

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.