求解奇异摄动转向点问题的一个二阶一致收敛格式

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 Second Order Uniform Difference Scheme for a Singularly Perturbed Turning Point Problem

摘要: 本文对奇异摄动转向点问题构造了一个关于ε一致收敛的二阶正型格式,并给出了数值例子.
- 奇异摄动 /
- 转向点 /
- 差分法 /
- 正型格式
Abstract: We construct a positive type diffcu(nce scheme for a singularly perturbed boundary value problem with a turning point, It's proved that this scheme is the second order convergence, uniformly in ε,to ihc solution of the singularly perturbed B. V. P.Numerical ezamples are provided.
- singularly perturbed problem /
- turning point /
- difference method /
- positive type difference scheme

[1]	Berger,A.E.,H.Han and R.B.Kellogg,A priori estimates and analysis of a numerical method for a turning point problem,Math.Comp.,42(1984),465-492.
[2]	Emeljanov,K.V.,A difference scheme for the equation eu"+xa(x)u'-b(x)u=f(x),Inst.Math.Mech.,Ural Science Lenter Acad.USSR,21(1976),5-18.(in Russian).
[3]	Farrell,P.A.,Sufficient conditions for the uniform convergence of a difference scheme for singularly perturbed turning problem,SIAM J.Numer.Anal.,25(188),618-643.
[4]	Liseikin,V.D.,On the numerical solution of equations with interior and exterior boundary layers on a non-uniform mesh,Proc.BAIL Ⅲ Conference,J.J.H.Miller,Ed.,Boole Prees,Dublin(1984),68-80.
[5]	Veldhuizen,M.V.,High order schemes of positive type for singular perturbation problems,Numerical Analysis of Singular Perturbation Problems,P.W.Hemker and J.J.H.Miller(Ed.),London Academic Pr.(1979),361-381.
[6]	Vulanovic,R.,A second order uniform numerical method for a turning point problem,Zb.Rad.Prir,Mat.Univ.Novom.Sadu.Ser.Mat.,18,1(1988),17-30.

点击查看大图