A Uniformly Convergent Second Order Difference Scheme for a Singularly Perturbed Self-Adjoint Ordinary Differential Equation in Conservation Form

Guo Wen; Lin Peng-cheng

Volume 10 Issue 3

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Article Navigation > Applied Mathematics and Mechanics > 1989 > 10(3): 221-230

Guo Wen, Lin Peng-cheng. A Uniformly Convergent Second Order Difference Scheme for a Singularly Perturbed Self-Adjoint Ordinary Differential Equation in Conservation Form[J]. Applied Mathematics and Mechanics, 1989, 10(3): 221-230.

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A Uniformly Convergent Second Order Difference Scheme for a Singularly Perturbed Self-Adjoint Ordinary Differential Equation in Conservation Form

Fuzhou University, Fuzhou

Received Date: 1987-06-03
Publish Date: 1989-03-15

Abstract

Abstract

In this paper, based on the idea of El-Mistikawy and Werle we construct a difference scheme for a singularly perturbed self-adjoint ordinary differential equation in conservation form. We prove that it is a uniformly convergent second order scheme.

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References(4)

References

[1]	El-Mistikawy,T.M.and M.J.Werle,Numerical method for boundary layers with blowing the exponential box scheme,AIAA.J.,16(1978) 749-751.
[2]	Hegarty,A.F.,J.J.H.Miller and E.O'Riordan,Uniform second order difference scheme for singular perturbation problems,Proc.Internat.Conf on Boundary and Interior Layers,Computational and Asymptotic Methods,June 3-6(1980),Trinity College,Dublin,Ireland(J.J.H.Miller ed.),Boole Press,Dublin(1980),301-305.
[3]	郭雯,小参数自共辆问题Ezpoaentlal Box格式的一致收敛性,国际常微分方程会议资料,福州大学(1985).
[4]	Smith,D.R.,The multivariable method in singular perturbation analysis,SIAM Rev.,17(1973),221-273.

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