Mohamed B. Suleiman, Jalil Abd. Ghani And Mohri B. Idris
Pertanika Journal of Tropical Agricultural Science, Volume 10, Issue 2, August 1987
Keywords: Second order ordinary differential equations (ODEs); Runge-Kutta method; linear differential operator; extrapolated; tolerances.
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A Runge-Kutta method for solving second order ODEs directly is defined. The equations of condition for the coefficients are derived using a linear operator and partial differentiation. This derivation differs from Fehlberg s (1964) where the uses a transformation and partial differentiation only for his method. The performance of the method is compared with the Fehlberg (4, 5) method on some second order problems.
ISSN 1511-3701
e-ISSN 2231-8542