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International Journal of Computer Mathematics Volume 85, 2008 - Issue 5
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Original Articles

A class of methods based on a septic non-polynomial spline function for the solution of sixth-order two-point boundary value problems

M. A. Ramadan Department of Mathematics, Faculty of Science, Menoufia University, Shebeen El-koom, EgyptCorrespondence[email protected]
,
I. F. Lashien Department of Engineering Physics and Mathematics, Faculty of Engineering, Tanta University, Tanta, Egypt
&
W. K. Zahra Department of Engineering Physics and Mathematics, Faculty of Engineering, Tanta University, Tanta, Egypt
Pages 759-770 | Received 15 Nov 2006, Accepted 29 Apr 2007, Published online: 24 Apr 2008

References

  • Akram , G. and Siddiqi , S. S. 2006 . Solution of sixth order boundary value problems using non-polynomial spline technique . Applied Mathematics and Computation , 181 : 708 – 720 .
  • Siddiqi , S. S. and Twizell , E. H. 1996 . Spline solutions of linear sixth-order boundary-value problems . International Journal of Computer Mathematics , 60 : 295 – 304 .
  • Twizell , E. H. 1988 . “ Numerical methods for sixth-order boundary value problems ” . In International Series of Numerical Mathematics , Vol. 86 , 495 – 506 . Basel : Berkhäuser . In:
  • Siddiqi , S. S. and Twizell , E. H. 1996 . Spline solutions of linear eighth-order boundary-value problems . Computer Methods in Applied Mechanics and Engineering , 131 : 309 – 325 .
  • Islam , S. U. 2005 . Nonpolynomial spline approach to the solution of a system of third-order boundary value problems . Applied Mathematics and Computation , 168 : 152 – 163 .
  • Islam , S. U. and Khan , M. A. 2006 . A numerical method based on polynomial sextic spline functions for the solution of special fifth-order boundary-value problems . Applied Mathematics and Computation , 181 : 356 – 361 .
  • Islam , S. U. and Tirmizi , I. A. 2006 . Nonpolynomial spline approach to the solution of a system of second-order boundary-value problems . Applied Mathematics and Computation , 173 : 1208 – 1218 .
  • Al-Said , E. A. 2001 . The use of cubic splines in the numerical solution of a system of second-order boundary value problems . Computers & Mathematics with Applications , 42 : 861 – 869 .
  • Ramadan , M. A. , Lashien , I. F. and Zahra , W. K. 2007 . Polynomial and nonpolynomial spline approaches to the numerical solution of second order boundary value problems . Applied Mathematics and Computation , 184 : 476 – 484 .
  • Ramadan , M. A. , Lashien , I. F. and Zahra , W. K. 2006 . “ Quintic nonpolynomial spline solutions for fourth order two-point boundary value problem ” . Submitted for publication

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