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Given the function v(s) – cos(4 + cos(28)) and the mesh s, – 80 + ih, where so 2' determine the forward finite difference for the first derivative of v with step size h at mesh point i =4. 14 At the same point, also calculate the exact first derivative v (s;). Calculate the absolute value of the error of the finite difference approximation at the point s. Work to at least 6 decimal places throughout and enter your answers to 2 decimal places. (a) Enter the finite difference approximation (b) Enter the exact derivative (c) Enter the absolute error (d) If we were to divide the step size by 2, the error will be approximately multiplied by a factor of

Given the function v(s) – cos(4 + cos(28)) and the mesh s, – 80 + ih, where so 2' determine the forward finite difference for the first derivative of v with step size h at mesh point i =4. 14 At the same point, also calculate the exact first derivative v (s;). Calculate the absolute value of the error of the finite difference approximation at the point s. Work to at least 6 decimal places throughout and enter your answers to 2 decimal places. (a) Enter the finite difference approximation (b) Enter the exact derivative (c) Enter the absolute error (d) If we were to divide the step size by 2, the error will be approximately multiplied by a factor of

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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anu uie mesIT s; = 80 + In, WIIeie so determine the forward finite difference for the first derivative of v with steps At the same point, also calculate the exact first derivative v (s;). Calculate the absolute value of the error of the finite difference approximatic Work to at least 6 decimal places throughout and enter your answers to 2 (a) Enter the finite difference approximation (b) Enter the exact derivative (c) Enter the absolute error (d) If we were to divide the step size by 2, the error will be approximately mul Select Select 2 1/2 4 1/4
Transcribed Image Text:anu uie mesIT s; = 80 + In, WIIeie so determine the forward finite difference for the first derivative of v with steps At the same point, also calculate the exact first derivative v (s;). Calculate the absolute value of the error of the finite difference approximatic Work to at least 6 decimal places throughout and enter your answers to 2 (a) Enter the finite difference approximation (b) Enter the exact derivative (c) Enter the absolute error (d) If we were to divide the step size by 2, the error will be approximately mul Select Select 2 1/2 4 1/4
The Questions Given the function v(s) = cos(4 + cos(2s)) and the mesh s; = 80 + ih, where so determine the forward finite difference for the first derivative of v with step size h at mesh point i= 4. 14 At the same point, also calculate the exact first derivative d (s.). Calculate the absolute value of the error of the finite difference approximation at the point s. Work to at least 6 decimal places throughout and enter your answers to 2 decimal places. (a) Enter the finite difference approximation (b) Enter the exact derivative (c) Enter the absolute error (d) If we were to divide the step size by 2, the error will be approximately multiplied by a factor of
Transcribed Image Text:The Questions Given the function v(s) = cos(4 + cos(2s)) and the mesh s; = 80 + ih, where so determine the forward finite difference for the first derivative of v with step size h at mesh point i= 4. 14 At the same point, also calculate the exact first derivative d (s.). Calculate the absolute value of the error of the finite difference approximation at the point s. Work to at least 6 decimal places throughout and enter your answers to 2 decimal places. (a) Enter the finite difference approximation (b) Enter the exact derivative (c) Enter the absolute error (d) If we were to divide the step size by 2, the error will be approximately multiplied by a factor of
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