Semi-Analytical Solution of the 1D Helmholtz Equation, Obtained from Inversion of Symmetric Tridiagonal Matrix
Read full paper at: http://www.scirp.org/journal/PaperInformation.aspx?PaperID=52439#.VJi-icCAM4 Author(s) Serigne Bira Gueye * Affiliation(s) Département de Physique, Faculté des Sciences et Techniques, Université Cheikh Anta Diop, Dakar-Fann, Sénégal . 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. KEYWORDS Helmholtz Equation , Tridiagonal Matri...