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Original Articles

Numerical solution of system of first-order delay differential equations using polynomial spline functions

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Pages 925-937 | Received 22 May 2006, Accepted 13 Nov 2006, Published online: 26 Mar 2007

References

  • Ayad , A. 1992 . “ Error of an arbitrary order for the approximate solution of system of second order differential equations with spline functions ” . PhD thesis, Suez-Canal University, Ismailia, Egypt
  • Micula , G. 1973 . Approximate solution of the differential equation y′′ = f(x, y) with spline functions . Mathematics of Computation , 27 : 807 – 816 .
  • Loscalzo , F. R. and Talbot , T. D. 1967 . Spline function approximations for solutions of ordinary differential equations . Bulletin of the American Mathematical Society , 73 : 438 – 442 .
  • Abo-Hasha , S. M. 1992 . “ Numerical solution of delay differential and neutral differential equations using spline methods ” . PhD thesis, Faculty of Science, Assiut University, Egypt
  • Caus , V. A. and Micula , G. 2001 . Numerical solution of the delay differential equations by non-polynomial spline functions . Studia University Babes-Bolyai, Informatica , 46 : 91 – 98 .
  • Ramadan , M. A. in press . “ Numerical treatment of the second ordinary delay differential equations by spline functions ” . In Proceedings of the Mathematical and Physical Society of Egypt
  • Ramadan , M. A. 2005 . Spline solution of first order delay differential equation . Journal of the Egyptian Mathematical Society , 1 : 7 – 18 .

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