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1.5 1.55 6.7933 7.3236 -39(r0) + 4g(xo+h)-g(xo+2h)) $0'0 = 4 y9Im ((4 – Ox)6 - (4+ 0x)6] ardson's extrapolation method to find nd the most accurate value for

1.5 1.55 6.7933 7.3236 -39(r0) + 4g(xo+h)-g(xo+2h)) $0'0 = 4 y9Im ((4 – Ox)6 - (4+ 0x)6] ardson's extrapolation method to find nd the most accurate value for

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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3. Consider the following data: 1.3 1.35 1.45 1.5 1.55 g(x) 5.0376 5.4265 5.8472) 6.3020 6.7933 7.3236 (a) Use the three point end-point formula g'(ro) =-39(ro) + 49(ro +h) - g(xo +2h)] with h = 0.1 to approximate g'(1.5). 2h (b) Use the three point mid-point formula g'(ro) lg(ro + h) - g(xo - h)] with h = 0.05 to approximate g'(1.5). (c) Use the answers to part (a) and (b) and the Richardson's extrapolation method to find an O(h*) approximation to g'(1.5). (d) Use the second derivative mid-point formula to find the most accurate value for at T = 1.4.
Transcribed Image Text:3. Consider the following data: 1.3 1.35 1.45 1.5 1.55 g(x) 5.0376 5.4265 5.8472) 6.3020 6.7933 7.3236 (a) Use the three point end-point formula g'(ro) =-39(ro) + 49(ro +h) - g(xo +2h)] with h = 0.1 to approximate g'(1.5). 2h (b) Use the three point mid-point formula g'(ro) lg(ro + h) - g(xo - h)] with h = 0.05 to approximate g'(1.5). (c) Use the answers to part (a) and (b) and the Richardson's extrapolation method to find an O(h*) approximation to g'(1.5). (d) Use the second derivative mid-point formula to find the most accurate value for at T = 1.4.
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