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Can you help me solve this Question? Derive the formula to get the third forward finite difference (x+3h) to get the coefficient of forward finite difference approximation O(h^3) Notes: Get the coefficients on the third line only

Can you help me solve this Question? Derive the formula to get the third forward finite difference (x+3h) to get the coefficient of forward finite difference approximation O(h^3) Notes: Get the coefficients on the third line only

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.1: Equations
Problem 19E
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Derive the formula to get the third forward finite difference (x+3h) to get the coefficient of forward finite difference approximation O(h^3)

Notes: Get the coefficients on the third line only!

f(x) f(x + h) f(x+2h) f(x+3h) f(x+4h) f(x+5h) 2hf'(x) -3 4 -1 hZf"(x) 2 -5 4 -1 2h³ f""(x) -5 18 -24 14 -3 h¹ f(4) (x) 3 -14 26 -24 11 -2 Table 5.3a. Coefficients of Forward Finite Difference Approximations of (²)
Transcribed Image Text:f(x) f(x + h) f(x+2h) f(x+3h) f(x+4h) f(x+5h) 2hf'(x) -3 4 -1 hZf"(x) 2 -5 4 -1 2h³ f""(x) -5 18 -24 14 -3 h¹ f(4) (x) 3 -14 26 -24 11 -2 Table 5.3a. Coefficients of Forward Finite Difference Approximations of (²)
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