一类非线性Sine－Gordon方程的一个“蛙跳”有限差分格式

A Leap Frog Finite Difference Scheme for a Class of Nonlinear Sine-Gordon Equation

本文给出了一类非线性Ｓｉｎｅ－Ｇｏｒｄｏｎ方程的一个“蛙跳”有限差分格式．讨论了三对角循环线性系统的微分方程的可能性，进一步的，利用能量不等式的方法研究了差分格式的收敛性和稳定性，最后。

An this paper,a teap frog finite difference scheme for a class of nonlinear Sine-Gorden equation are given.The solvability of the difference equation which is a tridiagonal circular linear system is discussed.Moreover,The convergence and stability of the difference scheme are studied by the energy inequalities method.Finally,numerical examples are given