Lecture 6: =1=Truncation Error, Consistency, and Convergence
Lecture 6: =1=Truncation Error, Consistency, and Convergence
Lecture 6: =1=Truncation Error, Consistency, and Convergence
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Local Truncation <strong>Error</strong>Definition ( Local truncation error)The local truncation error at time step n + 1 is given byτ n+1 (h) = y n+1 − z n+1.hNotice, it is the difference between the exact solution <strong>and</strong> theapproximation applied to the exact solution at time t n .() Truncation <strong>Error</strong>, <strong>Consistency</strong>, <strong>and</strong> <strong>Convergence</strong> 8 October 2012 12 / 54