论文标题
半线性单层扰动的边界值问题的修改后的Shishkin网格上的第二阶 - 订单差异方案
A fitted second--order difference scheme on a modified Shishkin mesh for a semilinear singularly-perturbed boundary-value problem
论文作者
论文摘要
在本文中,我们考虑了半线性奇异反应反应的数值求解 - 扩散边界 - 具有边界层的值问题。构建了一种新的差异方案,显示了修改后的Shishkin网格上收敛的二阶。数值实验包括在论文中,以证实理论结果。
In the present paper we consider the numerical solving of a semilinear singular--perturbation reaction--diffusion boundary--value problem having boundary layers. A new difference scheme is constructed, the second order of convergence on a modified Shishkin mesh is shown. The numerical experiments are included in the paper, which confirm the theoretical results.