A new 3-stage fourth order runge-kutta composite method for solving initial value problems

References

• Butcher , J. C. 1987 . The Numerical Analysis of Ordinary Differential Equations: Runge-Kutta and General Linear Methods , UK : John Wiley & Sons .
   Google Scholar
• Shampine , L. F. and Watts , H. A. 1977 . The Art of Writing a Runge-Kutta Code, Part I . Mathematical Software , 3 : 257 – 275 .
   Google Scholar
• Evans , D. J. and Sanugi , 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 .
   Google Scholar
• Sanugi , B. B. and Evans , D. J. 1994 . A New Fourth order Formula Based on Harmonic Mean . Int. Jour. Comp. Math. , 50 : 113 – 118 .
   Web of Science ®Google Scholar
• Evans , D. J. and Yaacob , N. 1995 . A Fourth Order Runge-Kutta Method Based on the Heronian Mean . Int. Jour. Comp. Maths. , 58 : 103 – 116 .
   Web of Science ®Google Scholar
• Jackson , K. R. , Enright , W. H. and Hull , T. E. “ A Theoretical Criterion for Comparing Runge-Kutta Formulas ” . In SIAM J. Numer. Anal. 3 – 3 .
   Google Scholar