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

Efficient BTCS + CTCS Finite Difference Scheme for General Linear Second Order PDE

“…can be simplified [12] [13] [14]: Defining a real number ∆ and a complex number θ in following manner:…”

“…One can verify that this determinant, for 0 e c ⋅ ≠ , is given by the following relations [12] [13] [14]:…”