An unconditionally stable fourth-order method for telegraph equation based on Hermite interpolation

作者：Luo Xuqiong; Du Qikui^*

来源：Applied Mathematics and Computation, 2013, 219(15): 8237-8246.

DOI：10.1016/j.amc.2013.02.052

• Telegraph equation
• Difference scheme
• Unconditionally stable
• Hermite interpolation

There have been many approaches to solve telegraph equations numerically in literature. However, very few are two-level difference schemes in solving telegraph equations with Dirichlet boundary conditions. In this paper, based on cubic Hermite interpolation, a two-level method is presented for the numerical solutions of one-dimensional telegraph equations. The accuracy of the present scheme is of order O(k(4) + h(4)). It is proved that the scheme is unconditionally stable. Numerical results are given to illustrate the efficiency of our method.

• 出版日期2013-4-1
• 单位南京师范大学