论文标题
一类有限差异方法，用于求解不均匀的阻尼波方程
A class of Finite difference Methods for solving inhomogeneous damped wave equations
论文作者
论文摘要
在本文中，提出了一类有限差数数值技术来解决二阶线性不均匀阻尼波方程。讨论了这些数值方案的一致性，稳定性和收敛性。将获得的结果与精确解决方案，普通的显式，隐式有限差异方法和四阶紧凑方法（FOCM）进行了比较。这些方法的一般思想是通过使用C0-邻系操作员理论来开发的。我们还表明，显式有限差异方案的稳定区域取决于阻尼系数。
In this paper, a class of finite difference numerical techniques is presented to solve the second-order linear inhomogeneous damped wave equation. The consistency, stability, and convergences of these numerical schemes are discussed. The results obtained are compared to the exact solution, ordinary explicit, implicit finite difference methods, and the fourth-order compact method (FOCM). The general idea of these methods is developed by using the C0-semigroups operator theory. We also showed that the stability region for the explicit finite difference scheme depends on the damping coefficient.
