A High Accuracy Difference Scheme for the Slnuglar Perturbation Problem of the Second-Order Linear Ordinary Differential Equation in Conservation Form

Wang Guo-ying

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Article Navigation > Applied Mathematics and Mechanics > 1989 > 10(5): 447-462

Wang Guo-ying. A High Accuracy Difference Scheme for the Slnuglar Perturbation Problem of the Second-Order Linear Ordinary Differential Equation in Conservation Form[J]. Applied Mathematics and Mechanics, 1989, 10(5): 447-462.

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A High Accuracy Difference Scheme for the Slnuglar Perturbation Problem of the Second-Order Linear Ordinary Differential Equation in Conservation Form

Wang Guo-ying

Nanjing University, Nanjing

Received Date: 1988-02-08
Publish Date: 1989-05-15

Abstract

Abstract

In this paper,combining the idea of difference method and finite element method,we construct a difference scheme for a self-adjoint problem in conservation form.Its solution uniformly converges to that of the original differential equation problem with order h³.

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References(3)

References

[1]	Il'in,A.M.,Differencing scheme for a differential equation with a small parameter affecting the highest derivative,Math Notes Acad.Sci.,USSR,6(1969).
[2]	Miller,J.J.H.,On the convergence,uniformly inε,of difference scheme for a two-point boundary singular perturbation problem,Proc.of Con f on"The Numerical Analysis of Singular Perturbation Problem",Academic Press(1979),467-474.
[3]	Niijima,K.,On a three-point difference scheme for a singular perturbation problem without a first derivative term,I.Memoirs Numer.Math.,7(1980),1-10.