论文标题

对于奇异的扰动初始值问题,拟合操作员方法的参数 - 均匀收敛性

The parameter-uniform convergence of a fitted operator method on non-uniform meshes for a singularly perturbed initial value problem

论文作者

Miller, John J. H.

论文摘要

通常仅适用于均匀的网格,用于奇异扰动的微分方程的拟合操作员方法的参数均匀收敛。在这里,我们在非均匀网格上建立了拟合操作员方法的参数 - 均匀收敛,以解决奇异的扰动初始值问题。这是通过一种新的证明方法获得的。

The parameter-uniform convergence of a fitted operator method for a singularly perturbed differential equation is normally available only for uniform meshes. Here we establish the parameter-uniform convergence of a fitted operator method on a non-uniform mesh for a singularly perturbed initial value problem. This is obtained by a new method of proof.

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