.GNU_ScientificLibrary.Examples.specfunc.SphBessel_jzeros

Zeros of Spherical Bessel functions

Information

Determination of zeros of spherical Bessel functions, j₀(x_i)=0 and j₁(x_i)=0, via Modelica/GSL and via direct GSL routines to compare.

Plots of zeroj0.y and zeroj1.y should display steps with lower-right corners at ( t , y ) = ( x_i,Modelica , x_i,GSL ) and such values should be equal at these corners.

The location of the zeros of spherical Bessel functions is a crucial element in some boundary value problems involving spherical symmetry and this example shows how the 'Bessel_zeroJnu' block (with nu=n+1/2; n integer) provides said info quickly.

As not all special functions' zeros are provided via GSL routines, the displayed use of Modelica's zero-crossing logical blocks could be useful for finding such information for these other functions.

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