Numerical Methods Find the numerical second derivative value of f ''(0.5) from the dataset using the finite difference method. The dataset is constructed from the function f(x) = x^3 + 0.4*x^2 + x. Calculate the absolute error of the result based on the actual value you will find from the function

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Numerical Methods Find the numerical second derivative value of f ''(0.5) from the dataset using the finite difference method. The dataset is constructed from the function f(x) = x^3 + 0.4*x^2 + x. Calculate the absolute error of the result based on the actual value you will find from the function.

2)
X
0,2
0,3
0,4
0,5
0,6
f(x) 0,224| 0,363 0,528 0,725 0,960
Veri kümesinden f "(0,5) sayısal ikinci türev değerini sonlu farklar yöntemi ile
bulunuz. Veri kümesi f(x) = x³ + 0,4-x? + x işlevinden oluşturulmuştur. İşlevden
bulacağınız gerçek değere göre sonucun mutlak hatasını hesaplayınız.
Transcribed Image Text:2) X 0,2 0,3 0,4 0,5 0,6 f(x) 0,224| 0,363 0,528 0,725 0,960 Veri kümesinden f "(0,5) sayısal ikinci türev değerini sonlu farklar yöntemi ile bulunuz. Veri kümesi f(x) = x³ + 0,4-x? + x işlevinden oluşturulmuştur. İşlevden bulacağınız gerçek değere göre sonucun mutlak hatasını hesaplayınız.
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