二维非线性Klein-Gordon方程Neumann边值问题

The Two Nonlinear Klein-Gordon Equation with Neumann Boundary Conditions

利用边界条件及非线性Klein-Gordon方程得到其在空间上的三阶与五阶导数的边界值,进而分别在内点和边界点建立三点和两点紧差分格式;通过数值算例,得到了截断误差是关于时间和空间上的二阶和四阶结果.

By use of the boundary values of three-order and five-order derivatives,the three points scheme at inside points and two points scheme at boundary points are established respectively.Numerical results are conducted to the truncation error of difference scheme,that is second order in time and fourth order in space.