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Original Articles

Weighted fifth-order Runge-Kutta formulas for second-order differential equations

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Pages 233-239 | Received 15 Mar 1996, Published online: 19 Mar 2007

References

  • Evans , D.J. and Yaakub , A.R. 1996 . A New Fifth-order Weighted Runge-Kutta Formula . Int. Jour. Comp. Math. , 59 : 227 – 243 .
  • Evans , D.J. and Jayes , M.I. 1993 . New Numerical Methods for a Special Class of Second Order ODEs . Intern. J. Computer Math. , 48 : 191 – 201 .
  • Fatunla , S.O. 1995 . A Class of Block Methods for Second Order IVPs . Intern. J. Computer Math. , 55 : 119 – 133 .
  • Greenspan , D. and Casulli , V. 1988 . Numerical Analysis for Applied Mathematics, Science and Engineering , United Kingdom : Addision-Wesley Publishing Company .
  • Henrici , P. Discrete Variable Methods in Ordinary Differential Equations
  • Jeltsch , R. 1978 . Complete Characterization of Multistep Methods with Interval of Periodicity for Solving y′′=f(x,y) . Math. Comp. , 32 : 1108 – 1114 .

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