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A class of self-starting methods for the numerical solution ofy″=f(x,y)

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References

  1. J. C. Butcher,On Runge-Kutta Processes of High Order, J. Austral. Math. Soc., 4 (1964), 179–194.

    Google Scholar 

  2. P. C. Chakravarti and P. B. Worland,A New Self-Starting Sixth-Order Method for the Numerical Solution of the Equation y″=f(x,y), To appear.

  3. L. Collatz,The Numerical Treatment of Differential Equations, Springer-Verlag, Berlin, 1960.

    Google Scholar 

  4. J. T. Day,A Runge-Kutta Method for the Numerical Integration of the Differential Equation y″=f(x,y), ZAMM, 45 (1971), 354–356.

    Google Scholar 

  5. R. de Vogelaere,A Method for the Numerical Integration of Differential Equations of Second Order Without Explicit First Derivatives, J. Res. N. B. S., 54 (1955), 119–125.

    Google Scholar 

  6. P. Henrici,Discrete Variable Methods in Ordinary Differential Equations, John Wiley and Sons, New York, 1969.

    Google Scholar 

  7. W. E. Milne,Numerical Solution of Differential Equations, John Wiley, New York, 1953.

    Google Scholar 

  8. R. E. Scraton,The Numerical Solution of Second Order Differential Equations Not Containing the First Derivative Explicitly, Computer Journal, 6 (1964), 368–370.

    Google Scholar 

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Chakravarti, P.C., Worland, P.B. A class of self-starting methods for the numerical solution ofy″=f(x,y). BIT 11, 368–383 (1971). https://doi.org/10.1007/BF01939405

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  • DOI: https://doi.org/10.1007/BF01939405

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