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Original Articles

A new fifth order five-stage runge-kutta method for initial value type problems in odes

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Pages 187-207 | Received 01 May 1995, Published online: 19 Mar 2007

References

  • Butcher , J.C. 1987 . The Numerical Analysis of Ordinary Differential Equations: Runge-Kutta and General Linear Methods , UK : John Wiley & Sons .
  • Sanugi , B.B. 1986 . “ New Numerical Strategies for Initial Value Type Ordinary Differential Equations ” . In Ph.D. Thesis , UK : Loughborough University of Technology .
  • Sanugi , B.B. and Evans , D.J. 1994 . A new fourth order Runge-Kutta formula based on harmonic mean . Int. Jour. Comp. Math , 50 : 113 – 118 .
  • Evans , D.J. and Andsanugi , B.B. 1986 . “ A new fourth order Runge-Kutta method for initial value problems ” . In Computational Mathematics, II , Edited by: Fatunla , S.O. Boole Press .
  • Wazwaz , A.M. 1994 . A Comparison of Modified Runge-Kutta Formula Based On A Variety of Means . Int. Jour. Comp. Math , 50 : 105 – 112 .
  • Evans , D.J. and Yaacob , N. 1995 . A Fourth Order Runge-Kutta Method Based On The Heronian Mean . Int. Jour. Comp. Math , 59 : 1 – 2 .
  • Lambert , J.D. 1973 . Computational Methods in Ordinary Differential Equations , John Wiley & Sons .

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