奇异摄动的周期边界问题
A Singular Perturbation Problem for Periodic Boundary Differential Equation
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摘要: 本文讨论高阶导数项含小参数ε的二阶常微分方程的周期边界问题。证明了文[1]差分格式具有O(h)一致收敛阶。Abstract: In this paper, we consider a second order ordinary differential equation with a small, positive parameter ε in its highest derivative for periodic boundary values problem and prove that the solution of difference scheme in paper [1] uniformly converges to the solution of its original problem with order one.
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