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SIMULATION, Vol. 10, No. 5,
221-223 (1968)
DOI: 10.1177/003754976801000503
A modified Runge-Kutta method
A.S. Chai
Hybrid Computer Laboratory The University of Wisconsin Madison, Wisconsin
It is possible to replace k2 in a 4th-order Runge-Kutta for mula (also Nth-order 3 N 5) by a linear combination of k1 and the ki's in the last step, using the same procedure for computing the other ki's and y as in the standard R-K method. The advantages of the new method are: It re quires one less derivative evaluation, provides an error estimate at each step, gives more accurate results, and needs a minor change to switch to the RK to obtain the starting values.
Experimental results are shown in verification of the for mula.

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