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求解奇异摄动转向点问题的一个二阶一致收敛格式

孙晓弟

孙晓弟. 求解奇异摄动转向点问题的一个二阶一致收敛格式[J]. 应用数学和力学, 1992, 13(2): 129-133.
引用本文: 孙晓弟. 求解奇异摄动转向点问题的一个二阶一致收敛格式[J]. 应用数学和力学, 1992, 13(2): 129-133.
Sun Xiao-di. A Second Order Uniform Difference Scheme for a Singularly Perturbed Turning Point Problem[J]. Applied Mathematics and Mechanics, 1992, 13(2): 129-133.
Citation: Sun Xiao-di. A Second Order Uniform Difference Scheme for a Singularly Perturbed Turning Point Problem[J]. Applied Mathematics and Mechanics, 1992, 13(2): 129-133.

求解奇异摄动转向点问题的一个二阶一致收敛格式

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.
  • [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.
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出版历程
  • 收稿日期:  1990-07-02
  • 刊出日期:  1992-02-15

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