Gueye, S.B. (2014) The Exact Formulation of the Inverse of the Tridiagonal Matrix for Solving the 1D Poisson Equation with the Finite Difference Method. Journal of Electromagnetic Analysis and Application, 6, 303-308.
http://dx.doi.org/10.4236/jemaa.2014.610030

has been cited by the following article:

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

  AUTHORS: Serigne Bira Gueye

  KEYWORDS: Helmholtz Equation, Tridiagonal Matrix, Linear Homogeneous Recurrence Relation

  JOURNAL NAME: Journal of Electromagnetic Analysis and Applications, Vol.6 No.14, December 22, 2014

  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.