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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 Reference: Numerical Methods in Engineering with python 3” Jaan Kiusalaas pp. 183-187

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 Reference: Numerical Methods in Engineering with python 3” Jaan Kiusalaas pp. 183-187

Database System Concepts
Database System Concepts
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ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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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

Reference: Numerical Methods in Engineering with python 3” Jaan Kiusalaas pp. 183-187

 

f(x) f(x+h) f(x+2h) f(x+3h) f(x+4h) f(x+5h) 2hf'(x) -3 4 -1 h²f"(x) 2 -5 4 -1 2h³f""(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 O(1²)
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 h²f"(x) 2 -5 4 -1 2h³f""(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 O(1²)
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