The convergence of the fully discrete solution for the Roseneau equation

被引：11

作者：

Lee, HY

Ahn, MJ

机构：

[1] Department of Mathematics, Kyungsung University, Pusan

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 1996年 / 32卷 / 03期

关键词：

Roseneau equation; Galerkin approximation; modified Crank-Nicolson method; error analysis;

D O I：

10.1016/0898-1221(96)00110-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we analyze the boundedness and convergence of the approximate solution to the Roseneau equation. For the temporal discretization, we apply Galerkin-Crank-Nicolson finite element method, and we prove the convergence of order 2 analytically. We also prove the convergence of two initial stage approximations.

引用

页码：15 / 22

页数：8

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