The Uniformly Convergent Difference Schemes for a Singular Perturbation Problem of a Self-Adjoint Ordinary Differential Equation

Lin Peng-cheng; Guo Wen

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Article Navigation > Applied Mathematics and Mechanics > 1989 > 10(1): 33-41

Lin Peng-cheng, Guo Wen. The Uniformly Convergent Difference Schemes for a Singular Perturbation Problem of a Self-Adjoint Ordinary Differential Equation[J]. Applied Mathematics and Mechanics, 1989, 10(1): 33-41.

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The Uniformly Convergent Difference Schemes for a Singular Perturbation Problem of a Self-Adjoint Ordinary Differential Equation

Fuzhou University, Fuzhou

Received Date: 1987-06-03
Publish Date: 1989-01-15

Abstract

Abstract

In this paper, we construct a class of difference schemes with fitted factors for a singular perturbation problem of a self-adjoint ordinary differential equation. Using a different method from [1], by analyzing the truncation errors of schemes, we give the sufficient conditions under which the solution of lite difference scheme converges uniformly to the solution of the differential equation. From this we propose several specific schemes under weaker conditions, and give much higher order of uniform convergence, and applying them to example, obtain the numerical results.

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References(5)

References

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