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Semi-Analytical Solution of the 1D Helmholtz Equation, Obtained from Inversion of Symmetric Tridiagonal Matrix

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DOI: 10.4236/jemaa.2014.614044    2,816 Downloads   3,369 Views  

ABSTRACT

An interesting semi-analytic solution is given for the Helmholtz equation. This solution is obtained from a rigorous discussion of the regularity and the inversion of the tridiagonal symmetric matrix. Then, applications are given, showing very good accuracy. This work provides also the analytical inverse of the skew-symmetric tridiagonal matrix.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

Gueye, S. (2014) Semi-Analytical Solution of the 1D Helmholtz Equation, Obtained from Inversion of Symmetric Tridiagonal Matrix. Journal of Electromagnetic Analysis and Applications, 6, 425-438. doi: 10.4236/jemaa.2014.614044.

References

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http://dx.doi.org/10.4236/jemaa.2014.610030
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