Show that (I2) in Sec. 12.4 gives as another starting formula I I I Xi + k lin = ~
Chapter 21, Problem 21.1.111(choose chapter or problem)
Show that (12) in Sec. 12.4 gives as another starting formula
\(u_{i 1}=\frac{1}{2}\left(u_{i+1.0}+u_{i-1.0}\right)+\frac{1}{2} \int_{x_{i}-k}^{x_{i}+k} g(s) d s\)
(where one can evaluate the integral numerically if necessary). In what case is this identical with (8)?
Text Transcription:
u_{i 1} = 1 / 2 (u_{i + 1.0} + u_{i-1.0}) + 1 / 2 int_{x_{i} - k}^{x_{i} + k} g(s) ds
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