Bessel functions often arise in advanced engineering and scientific analyses such as the study of electric fields.

amanf

amanf

Answered question

2021-10-03

Bessel functions often arise in advanced engineering and scientific analyses such as the study of electric fields. These functions are usually not amenable to straightforward evaluation and, therefore, are often compiled in standard mathematical tables.
x1.82.02.22.42.6J1(x)0.58150.57670.55600.52020.4708
Estimate J1(2.1), (a) using an interpolating polynomial and (b) using cubic splines. Note that the true value is 0.5683

Answer & Explanation

lobeflepnoumni

lobeflepnoumni

Skilled2021-10-04Added 99 answers

a} By using a fourth-order Newton's interpolating polynomial we found that 7(2.1)1 = 0.5683.
b) Using « cubic spline with not-a-knot end conditions yielded J(2.1)1=0.5683, however, using a. piecewise cubic Hermite interpolation resulted in J(2.1)1=0.5687.

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