非线性Boussinesq方程拟谱方法的收敛性与最优阶误差估计

Convergence and optimal error estimation of pseudo-spectral method for nonlinear Boussinesq equation

讨论非线性GoodBoussinesq方程的拟谱方法与全离散计算格式,分析了半离散与全离散近似解的收敛性,并给出最优阶误差估计.

We have studied the numerical solutions to the nonlinear Boussinesq equation using pseudo-spectral method and proved the convergence and optimal convergence rate of the semi-discrete and full-discrete solutions to the real solutions of the continous problem.