...
  • 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Discrete and continuous dynamical systems▼hSeries S >STABILITY AND ERRORS ANALYSIS OF TWO ITERATIVE SCHEMES OF FRACTIONAL STEPS TYPE ASSOCIATED TO A NONLINEAR REACTION-DIFFUSION EQUATION
【24h】

STABILITY AND ERRORS ANALYSIS OF TWO ITERATIVE SCHEMES OF FRACTIONAL STEPS TYPE ASSOCIATED TO A NONLINEAR REACTION-DIFFUSION EQUATION

机译：与非线性反应扩散方程相关的分数步骤类型的两种迭代方案的稳定性和误差分析

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

We present the error analysis of two time-stepping schemes of frac- tional steps type, used in the discretization of a nonlinear reaction-diusion equation with Neumann boundary conditions, relevant in phase transition and interface problems. We start by investigating the solvability of a such boundary value problems in the class W～1,2_p (Q). One proves the existence, the regular- ity and the uniqueness of solutions, in the presence of the cubic nonlinearity type. The convergence and error estimate results (using energy methods) for the iterative schemes of fractional steps type, associated to the nonlinear par- abolic equation, are also established. The advantage of such method consists in simplifying the numerical computation. On the basis of this approach, a conceptual algorithm is formulated in the end. Numerical experiments are presented in order to validates the theoretical results (conditions of numerical stability) and to compare the accuracy of the methods.
机译：我们介绍了两个逐步步骤类型的误差分析，用于在与Neumann边界条件的非线性反应缓解方程的离散化的离散化中，在相变和界面问题中相关。我们首先研究了W〜1,2_P（Q）中这样的边界值问题的可解性。在立方体非线性类型的存在下，证明存在的存在，规则的唯一性和唯一性。还建立了与非线性解析方程的分数步骤类型的迭代方案的收敛性和误差估计结果（使用能量方法）。这种方法的优点包括简化数值计算。在这种方法的基础上，结束了概念算法。提出了数值实验，以验证理论结果（数值稳定性的条件）并比较方法的准确性。

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