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Original Articles

The numerical solution of first order delay integro-differential equations by spline functions

Pages 125-134 | Received 06 May 1998, Published online: 19 Mar 2007

References

  • Micula , G. and Akca , H. 1988 . “ Numerical solution of differential equations with deviating argument using spline functions ” . In Mathematica , Vol. 38 , 45 – 57 . Studia Univ. . Babes-Bolyai
  • Micula , G. and Akca , H. 1988 . Approximate solution of second order differential équations with deviating argument by spline functions , 30 ( 1 ) : 37 – 46 . Mathematica Revue D, Analyse Numerique et De Theorie de L, approximation
  • Garey , L.E. and Gladwin , G.J. 1990 . Direct numerical method for nonlinear integro- differential equations . Intern, J, Computer Math. , 34 ( 1 ) : 237 – 246 .
  • Micula , Gheorge and Fair Weather , Graeme . 1993 . Direct spline methods for first order Fredholm integro-differential equations . Tom , 22 ( 53 ) : 59 – 66 . Revue D, analyse Numérique et de Theorie de L, Approximation, 1
  • Ayad , A. 1998 . Spline approximation for second order Fredholm integro-differential Equation . Intern. J. computer Math. , 66 ( 53 ) : 79 – 91 .
  • Micula , G. 1975 . The numerical solution of Volterra integro-differential equation by spline functions . Rev, Roum Pures et Appl. (Bucharest) , 20 ( 53 ) : 349 – 358 .
  • Micula , G. and Ayad , A. 1996 . “ A polynomial spline approximation method for solving Volterra integro-differential equations ” . In Mathematica , Vol. XLI , 71 – 80 . Studia, Univ. . Babes-Bolyai
  • Ayad , A. “ Error of an arbitrary order for solving second order system of differential equations by using spline functions ” . In Ph.D. Thesis , Ismalia, , Egypt : Suez Canal University .

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