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A high accuracy difference scheme for the singular perturbation problem of the second-order linear ordinary differential equation in conservation form

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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

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  2. Miller, J.J.H., On the convergence, uniformly in ε, of difference scheme for a two-point boundary singular perturbation problem,Proc. of Conf. on “The Numerical Analysis of Singular Perturbation Problem”, Academic Press (1979), 467–474.

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Communicated by Su Yu-cheng

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Guo-ying, W. A high accuracy difference scheme for the singular perturbation problem of the second-order linear ordinary differential equation in conservation form. Appl Math Mech 10, 465–470 (1989). https://doi.org/10.1007/BF02019236

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  • DOI: https://doi.org/10.1007/BF02019236

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