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Original Articles

A fourth order runge-kutta method based on the heronian mean formula

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Pages 103-115 | Received 14 Mar 1995, Published online: 19 Mar 2007

References

  • Evans , D. J. and Sanugi , B. B. 1987 . “ A new 4th order Runge-Kutta method for initial value problems ” . In Computational Mathematics , Edited by: Fatunla , S. O. Vol. 11 , Dublin : Boole Press .
  • Wazwaz , A. M. in press . On the numerical solution of y′ = f (x,y) by a class of nonlinear trapezoidal formulas, Dept. of Maths. and Comp. Science, Saint Xavier University, Chicago, Illinois . Int. Jour, Comp. Maths ,
  • 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 Yaakub , A. R. 1993 . A new 4th order Runge-Kutta Method based on the centroidal mean formula . Comp. Stud. Rep. , 851 Nov LUT
  • Sanugi , B. B. and Evans , D. J. 1993 . A new 4th order Runge-Kutta formula based on harmonic mean . Comp. Stud. Rep. , 799 June LUT
  • Evans , D. J. and Yaakub , A. R. 1993 . A new 4th order formula based on the contra Harmonic mean . Comp. Stud. Rep. , 849 Nov LUT
  • Yaakub , A. R. and Evans , D. J. 1993 . A new 4th order Runge-Kutta method based on the root-mean square formula . Comp. Stud. Rep. , 862 Dec LUT
  • Wolfram , S. 1991 . “ MATHEMATICA ” . In A system for doing mathematics by computer , Second Ed. , U.K : Addison-Wesley Pub. Co. .
  • Sanugi B. B. Ph.D. Thesis Loughborough University of Technology 1986

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