fj+1 - fj-1 2Ax Assuming a uniform grid spacing of Ax, derive a finite difference approximation to f; using information from the five points xj-2, xj-1, Xj, Xj+1, is 4'th-order accurate. and X'j+2• Show that the approdximation

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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fj+1 - fj-1
2Ax
Assuming a uniform grid spacing of Ax, derive a finite difference approximation to f; using
information from the five points xj-2, xj-1, Xj; Xj+1,
is 4'th-order accurate.
and
Show that the approdximation
Xj+2•
Transcribed Image Text:fj+1 - fj-1 2Ax Assuming a uniform grid spacing of Ax, derive a finite difference approximation to f; using information from the five points xj-2, xj-1, Xj; Xj+1, is 4'th-order accurate. and Show that the approdximation Xj+2•
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