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Original Articles

A new fifth order explicit runge-kutta method with four stages for solving initial value problems in ODSs

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Pages 141-147 | Received 15 May 1995, Accepted 18 Sep 1995, Published online: 19 Mar 2007

References

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  • Sanugi , B.B. and Yaacob , N. in press . A New Fifth Order Five-stage Runge-Kutta Method for Initial Value Type Problems in ODEs . Int. Jour. Comp. Maths ,
  • Enright , W.H. , Higham , D.J. , Owren , B. and Sharp , P. May 1994 . A Survey of the Explicit Runge-Kutta Methods , May , Toronto University . Tech. Rep. 291/94
  • Hull , T.E. , Enright , W.H. , Fellen , B.M. and Sedgwick , A.E. 1972 . Comparing Numerical Methods for Ordinary Differential Equations . SI AM J. Numer. Anal , 9 ( 4 ) May : 603 – 637 .
  • Jackson , K.R. , Enright , W.H. and Hull , T.E. 1978 . A Theoretical Criterion for Comparing Runge-Kutta Formulas . SIAM J. Numer. Anal , 15 ( 3 ) May
  • Shampine , L.F. and Watts , H.A. 1977 . “ The Art of writing a Runge-Kutta Code ” . In Mathematical Software 3 Edited by: Rice , J.R. 257 – 275 . Part I
  • Butcher , J.C. 1987 . The Numerical Analysis of Ordinary Differential Equation: Runge-Kutta and General Linear Methods , UK : John Wiley and Sons .
  • Yaacob , N. and Evans , D.J. Sept 1995 . “ A New 3-stage Fourth Oder RK Composite method for Solving Initial Value Problems ” . In Comput. Stud , Vol. 994 , Sept , Loughborough Univ .
  • Lambert , J.D. 1973 . Computational Methods in Ordinary Differential Equations , UK : John Wiley and Sons .
  • Evans , D.J. and Yaacob , N. 1995 . A Fourth Order Runge-Kutta method based on the Heronian Mean Formula . Int. Jour. Comp. Maths , 58 : 103 – 116 .
  • Evans , D.J. and Yaakub , A.R. Nov 1994 . “ A New 4th Order Runge-Kutta method based on Centroidal Mean formula ” . In Comput. Stud , Vol. 851 , Nov , Loughborough Univ .

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