A relationship between the modified Euler method and e

Richard B. Darst and Thomas P. Dence

International Journal of Mathematics and Mathematical Sciences, 1985, vol. 8, 1-5

Abstract:

Approximating solutions to the differential equation d y / d x = f ( x , y ) where f ( x , y ) = y by a generalization of the modified Euler method yields a sequence of approximates that converge to e . Bounds on the rapidity of convergence are determined, with the fastest convergence occuring when the parameter value is 1 2 , so the generalized method reduces to the standard modified Euler method. The situation is similarly examined when f is altered.

Date: 1985
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:396809

DOI: 10.1155/S0161171285000187

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