A new unconditionally stable compact difference scheme of O(τ2+h4) for the 1D linear hyperbolic equation

摘要

In this paper, we propose a three level compact difference scheme of O(τ2+h4) for the difference solution of one-dimensional second-order non-homogeneous linear hyperbolic equation utt+2αut+β2u=uxx+f(x,t), 00, where α>β⩾0. Stability analysis of the method has been carried out. Finally, numerical examples are used to illustrate the efficiency of the new difference scheme.