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Compute f(0.25) from the following data using Backward Gregory – Newton Interpolation Formula (BGNIF at xo= -1 -1 0.5 0.55 0.6 0.65 0.7 f(x) -1 -1.375 -1.225625 -1.064 -0.880375 -0.677

Compute f(0.25) from the following data using Backward Gregory – Newton Interpolation Formula (BGNIF at xo= -1 -1 0.5 0.55 0.6 0.65 0.7 f(x) -1 -1.375 -1.225625 -1.064 -0.880375 -0.677

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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d. Compute f(0.25) from the following data using Backward Gregory – Newton Interpolation Formula (BGNIF) at x0= -1

Compute f(0.25) from the following data using Backward Gregory – Newton Interpolation Formula (BGNIF) at xo= -1 -1 0.5 0.55 0.6 0.65 0.7 f(x) -1 -1.375 -1.225625 -1.064 -0.880375 -0.677
Transcribed Image Text:Compute f(0.25) from the following data using Backward Gregory – Newton Interpolation Formula (BGNIF) at xo= -1 -1 0.5 0.55 0.6 0.65 0.7 f(x) -1 -1.375 -1.225625 -1.064 -0.880375 -0.677
III. BACKWARD GREGORY – NEWTON INTERPOLATION FORMULA (BGNIF) r(r+ 1) f(x) = fo + rAf.1 + 2! r(r+1)(r+ 2) A°f3 + r(r+ 1)(r + 2)(r + 3) Aªf-4 + 3! 4! Where: x- the value of x whose f(x) is required X, - chosen from the table x = X, + rh х— Хо r = h
Transcribed Image Text:III. BACKWARD GREGORY – NEWTON INTERPOLATION FORMULA (BGNIF) r(r+ 1) f(x) = fo + rAf.1 + 2! r(r+1)(r+ 2) A°f3 + r(r+ 1)(r + 2)(r + 3) Aªf-4 + 3! 4! Where: x- the value of x whose f(x) is required X, - chosen from the table x = X, + rh х— Хо r = h
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