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Original Articles

On the application of spline functions to initial value problems with retarded argument

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Pages 173-179 | Received 19 Sep 1988, Published online: 19 Mar 2007

References

  • Bleyer , A. 1978 . On global methods to solve difference-differential equation with retarded arguments, Periodica polytechnica . Techn. Univ. of Budapest. Elec. Eng. , 22 ( No. 2-3 )
  • Cryer , Colin W. and Tavernini , Lucio . 1972 . The numerical solution of Volterra functional differential equation by Euler's method . SIAM J. , 9 ( No. 1 ) : 105 – 129 .
  • David Callender , E. 1971 . Single step method and low order splines for solution of ordinary differential equations . SIAM J. , 8 ( No. 1 ) : 61 – 66 .
  • El-Gendi , S. E. 1974 . Chebyshev solution of a class of functional differential equations . Comp. Society of India , 5 ( No. 1 ) : 1 – 4 .
  • El-Safty A. On numerical solution of ordinary differential equation with retarded arguments Budapest 1983 Ph.D.
  • Feldstein , A. and Goodman , R. 1973 . Numerical solution of ordinary and retarded differential equation with discontinuous derivatives . Number Math. , 21 : 1 – 13 .
  • 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 .
  • Loscalzo , F. R. and Talbot , T. D. 1967 . Spline function approximation for solutions of ordinary differential equations . SIAM J. Numer. Anal. , 4 : 433 – 445 .
  • Micula , G. 1973 . Approximate solution of the differential equation y″(x) = f(x y) with spline functions . Mathematics of Computation , 27 ( No. 124 )
  • Oberle , H. J. and Pesch , H. J. 1981 . Numerical treatment of delay differential equation by Hermite interpolation . Numer. Math. , 37 : 235 – 255 .

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