求解高维波动方程的半离散方法  

The Semi_Discrete Method for Solving High_Dimension Wave Equation

作　　者：吴建成[1,2] 蔡日增 

机构地区：[1]江苏石油化工学院 [2]无锡轻工大学

出　　处：《应用数学和力学》1998年第5期457-464,共8页Applied Mathematics and Mechanics

摘　　要：本文用半离散方法将高维波动方程离散为一维耦合波动方程组·文中给出了离散的收敛性及一维耦合波动方程组的适定性结果·数值例子表明这种方法收敛速度是很快的·The article gives a semi_discrete method for solving high_dimension wave equation. By using the method, high_dimension wave equation is converted by means of discretization into 1_D wave equation system which is well_posed. The convergence of the semi_discrete method is given. The numerical calculating results show that the speed of convergence is high.

关 键 词：波动方程 收敛性 适定性 半离散法 收敛速度 

分 类 号：O241.82[理学—计算数学]