Evaluates the solution to first kind of Mathieu Equation.
y = mathieu_mathieuS(z,a,q,ndet)
independent variable in Mathieu Equation
the characteristic number and parameter of Mathieu Equation
matrix dimension in the calculation
Mathieu_mathieuS evaluates the solution to first kind of Mathieu Equation
where a and q are given real variables.
// Example: test solution dependency on ndet z = %pi/2; q = 5; r = 1 ; [f,a]=mathieu_mathieu('ce', r, z, q); ndets_max = 20; S = zeros(1, ndets_max); ndets = 1:ndets_max; for ndet=ndets S(ndet) = mathieu_mathieuS(z,a,q,ndet); end plot(ndets, abs(S)) xgrid xlabel('ndet') ylabel('y') xtitle('solution dependency on ndet') | ![]() | ![]() |
R.Coisson and G. Vernizzi, Parma University
X. K. Yang
N. O. Strelkov, NRU MPEI
2011 - DIGITEO - Michael Baudin
1. R. Coïsson, G. Vernizzi and X.K. Yang, "Mathieu functions and numerical solutions of the Mathieu equation", IEEE Proceedings of OSSC2009 (online at http://www.fis.unipr.it/~coisson/Mathieu.pdf).