二阶线性守恒型常微分方程奇异摄动问题的高精度差分格式

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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

摘要: 本文结合差分方法和有限元方法对守恒型的自伴问题建立了差分格式,它的解以O(h³)阶一致收敛于原微分方程问题的解.

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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[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.

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