Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9507031 | Applied Mathematics and Computation | 2005 | 8 Pages |
Abstract
We propose a three level implicit unconditionally stable difference scheme of O(k2 + h2) for the difference solution of second order linear hyperbolic equation utt + 2α(x, t)ut + β2(x, t)u = A(x, t)uxx + f(x, t), 0 < x < 1, t > 0 subject to appropriate initial and Dirichlet boundary conditions, where A(x, t) > 0, α(x, t) > β(x, t) ⩾ 0. The proposed formula is applicable to the problems having singularity at x = 0. The resulting tri-diagonal linear system of equations is solved by using Gauss-elimination method. Numerical examples are provided to illustrate the unconditionally stable character of the proposed method.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
R.K. Mohanty,