Computing the variable coefficient telegraph equation using a discrete eigenfunctions method
This paper deals with the construction of discrete numerical solutions of mixed problems for the telegraph equation. After discretization, the two-variables partial difference mixed problem is solved by means of a discrete eigenfunctions method that mimics the advantages of the continuous eigenfunction method while eliminating its computational disadvantages. The solution is based on a closed form solution of the inhomogeneous second order difference equation without increasing the problem's dimension. (c) 2007 Elsevier Ltd. All rights reserved.
telegraph equation discrete eigenfunctions method numerical solution explicit difference scheme