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Original Articles

Application of spline functions to neutral delay-differential equations

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Pages 233-239 | Received 12 Jul 1995, Published online: 19 Mar 2007

References

  • Loscalzo , F.R. 1969 . “ An introduction to the application of spline function to initial value problems.In theory and applications of spline functions ” . Edited by: Greville , T.N.E. 37 – 64 . New York : Academic Press .
  • Kamont , Z. and Kwapisz , M. 1976 . On the Cauchy problem for differential-delay equations in a Banach space . Math.Nachr. , 74 : 173 – 190 .
  • Jackiewicz , Z. 1984 . One-step methods of any order for neutral functional-differential equations . SI AM J.Numer.Anal , 21 : 486 – 511 .
  • Jackiewicz , Z. 1986 . Quasilinear Multistep methods and variable step predictor-corrector methods for neutral functional differential equations . SI AM J.Numer.Anal , 23 ( 2 )
  • El-Safty , A. and M.Abo-Hasha , Shadia . 1990 . On the application of spline functions to initial value problems with retarded argument . Intern.J.Computer Math. , 32 : 173 – 179 .
  • Ibrahim , M.A.-K. , El-Safty , A. and Abo-Hasha , S.M. 1995 . 2h-step spline method for the solution of delay differential equations . Computers Math.Applic , 29 ( 8 ) : 1 – 6 .
  • Loscalzo , F.R. and Talbot , T.D. 1967 . Spline function approximation for solution of ordinary differential equations . SI AM J.Numer.Anal , 4 : 433 – 445 .
  • Abo-Hasha S.M. Numerical solution of delay differential and neutral differential equations using spline methods, Ph.D. Thesis, Assiut University Assiut, Egypt 1993

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