具有周期边界的守恒型方程的守恒型差分格式

留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名

邮箱

手机号码

标题

留言内容

验证码

A Conservative Difference Scheme for Conservative Differential Equation With Periodic Boundary

摘要: 研究守恒型奇摄动方程的周期边界问题,构造了一个守恒型差分格式,利用分解解的奇性项的方法,结合问题的渐近展开,证明所构造的差分格式为一阶一致收敛。
- 守恒方程 /
- 奇摄动 /
- 周期边界 /
- 守恒型格式 /
- 一致收敛
Abstract: The conservative form and singular perturbed ordinary differential equation with periodic boundary value problem were studied,and a conservative difference scheme was constructed.Using the method of decomposing the singular term from its solution and combining an asymptotic expansion of the equation,it is proved that the scheme converges uniformly to the solution of differential equation with order one.
- conservative equation /
- singular perturbation /
- periodic boundary /
- conservative difference scheme /
- uniform convergence

[1]	蔡新.具有周期边界的守恒型方程的奇异摄动问题[J].集美大学学报(自然科学版),2000,1:22-25.
[2]	蔡新,林鹏程.含有小参数的守恒型方程的守恒型差分格式[J].华侨大学学报(自然科学版),1992,2:170-176.
[3]	林鹏程,江本锆.奇异摄动的周期边界问题[J].应用数学和力学,1987,8(10):877-884.
[4]	Kellogg R B,Tsam A.Analysis of some difference approximations for a singular perturbation problem without turning points[J].Math Comp,1978,32:1025-1039.