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Original Articles

A modified taylor series method for solving initial-value problems in ordinary differential equations

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Pages 231-246 | Published online: 19 Mar 2007

References

  • Butcher , C. 1987 . The Numerical Analysis of Ordinary Differential Equations: Runge-Kutta and General Linear Methods , John Wiley and Sons .
  • Hall , G. 1976 . Modern Numerical Methods for Ordinary Differential Equations , Edited by: Watt , J. M. Oxford : Clarendon Press .
  • Greenspan , D. 1960 . Theory and Solution of Ordinary Differential Equations , NY : MacMillan Company .
  • Fehlberg , E. 1964 . New high-order Runge-Kutta formulas with stepsize control for systems of first and second order differential equations . Z. Angew. Math. Mech. , 44 ( 1 ) : T17 – T29 .
  • NAG 1991 eds, The NAG Fortran Library Manual-Mark 15.

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