【摘要】 针对二维变系数抛物型方程,构造出了一个高精度、恒稳定的交替方向隐式(ADI)差分格式,格式的截断误差阶达O(τ2+h4).通过数值实验,验证了理论分析的正确性和差分格式的精确性与有效性.更多还原

【Abstract】 A high accuracy alternation direction implicit scheme(ADI) for solving the two-dimensional parabolic equations is presented, and the scheme is absolutely stable and the truncation error is O(τ2 + h4). The experiments show the scheme is effective and advantage,and the theory is right by a numerical example.更多还原