Convergence on Finite Difference Solution for Semilinear Wave Equation in One Space Variable  

作　　者：鲁百年 房少梅 

机构地区：[1]Institute [2]of

出　　处：《Chinese Quarterly Journal of Mathematics》1997年第3期35-40, ,共6页数学季刊（英文版）

摘　　要：In this paper,the convergence and stability of the ’Leap-frog’ finite difference scheme for the semilinear wave equation are proved by using of the bounded extensive method under more generalized condition for the nonlinear term. The more complex standard a priori estimates are avoided so that the theoretical results are complemented for the scheme which was presented by Perring and Skyrne (1962).

关 键 词：semilinear wave equation Leap-frog finite difference scheme convergence and stability 

分 类 号：O175.24[理学—数学]