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mathieu_mathieuS

Evaluates the solution to first kind of Mathieu Equation.

Calling Sequence

y = mathieu_mathieuS(z,a,q,ndet)

Parameters

z

independent variable in Mathieu Equation

a, q

the characteristic number and parameter of Mathieu Equation

ndet

matrix dimension in the calculation

Description

Mathieu_mathieuS evaluates the solution to first kind of Mathieu Equation

where a and q are given real variables.

Examples

// 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')

See Also

Authors

R.Coisson and G. Vernizzi, Parma University

X. K. Yang

N. O. Strelkov, NRU MPEI

2011 - DIGITEO - Michael Baudin

Bibliography

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).


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