• 主题
高级搜索  >
历史搜索 清空历史
首页> 外文会议>Finite difference methods: theory and applications >A High Order Accurate Overlapping Domain Decomposition Method for Singularly Perturbed Reaction-Diffusion Systems
【24h】

A High Order Accurate Overlapping Domain Decomposition Method for Singularly Perturbed Reaction-Diffusion Systems

机译：奇摄动反应扩散系统的高阶精确重叠域分解方法

获取原文
获取原文并翻译 | 示例
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

In this work, we consider a coupled system of singularly perturbed reaction-diffusion equations (SPRDEs) with distinct small positive parameters, exhibiting overlapping boundary layers at both ends of the domain. In, the authors designed an overlapping domain decomposition method that gives almost second order accurate approximations to the solution of coupled systems of SPRDEs. High order methods are of great significance to the numerical community. To this end, for numerically solving the coupled systems of SPRDEs, we designed a high order accurate overlapping domain decomposition method via. defining an appropriate decomposition of the original domain and then considering a hybrid difference scheme on a uniform mesh on each sub-domain. More precisely, the method gives almost fourth order accurate approximations to the solution of the problem, as compared to almost second order accurate approximations in. Numerical results are given to demonstrate the effectiveness of the proposed method.
机译：在这项工作中，我们考虑具有奇异小正参数的奇摄动反应扩散方程（SPRDE）的耦合系统，在域的两端展现出重叠的边界层。在其中，作者设计了一种重叠域分解方法，该方法对SPRDE耦合系统的解给出了几乎二阶的精确近似值。高阶方法对数值界具有重要意义。为此，为了数值求解SPRDE的耦合系统，我们设计了一种高阶准确重叠域分解方法。定义原始域的适当分解，然后考虑每个子域上均匀网格上的混合差分方案。更精确地，与in中的几乎二阶精确近似相比，该方法为问题的解决方案提供了几乎四阶精确近似。给出的数值结果证明了该方法的有效性。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号