Suppose that a numerical method is used to approximate the solution of an initial -value problem over the time inteval [1,5] with 800 uniform time steps. About how many uniform time steps are needed to reduce the global error by a factor of 1/256? a) Runge Kutta method b) Runge- mid point method c) Euler method

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.6: Inequalities
Problem 78E
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Suppose that a numerical method is used to approximate the solution of an initial -value problem over the time inteval [1,5] with 800 uniform time steps. About how many uniform time steps are needed to reduce the global error by a factor of 1/256?

a) Runge Kutta method

b) Runge- mid point method

c) Euler method

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