• 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Applied numerical mathematics >On the numerical solution of a class of linear fractional integro-differential algebraic equations with weakly singular kernels
【24h】

On the numerical solution of a class of linear fractional integro-differential algebraic equations with weakly singular kernels

机译：一类具有弱奇异核的线性分数阶积分-微分代数方程的数值解

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

This paper focuses on providing a novel high-order algorithm for the numerical solution of a class of linear semi-explicit fractional order integro-differential algebraic equations with weakly singular kernels using the discrete Legendre collocation method. For this purpose, we investigate the existence and uniqueness as well as the regularity properties of this problem and show that some derivatives of its solutions suffer from discontinuity at the left endpoint of the integration domain dependence on both fractional derivative order and the weakly singular kernel function. To remove the singularity, using a new smoothing transformation the main equation is converted into an equivalent equation with better regularity properties and the Legendre collocation discretization method is designed for the transformed equation. The convergence properties of the proposed method are also studied, and we show that the new strategy exhibits a high-order of convergence even when the exact solutions are non-smooth. Some numerical examples are given to illustrate the performance of the approach. (C) 2019 IMACS. Published by Elsevier B.V. All rights reserved.
机译：本文致力于使用离散Legendre配置方法为一类具有弱奇异核的线性半显式分数阶积分微分代数方程的数值解提供一种新颖的高阶算法。为此，我们研究了该问题的存在和唯一性以及正则性质，并表明其解的某些导数在积分域左端点上的不连续性受分数导数阶和弱奇异核函数的影响。为了消除奇点，使用新的平滑变换将主方程转换为具有更好规则性的等效方程，并为变换后的方程设​​计了Legendre搭配离散化方法。还研究了所提出方法的收敛性，并且表明即使在精确解不平滑的情况下，该新方法也显示出高阶收敛性。给出了一些数值示例来说明该方法的性能。 （C）2019年IMACS。由Elsevier B.V.发布。保留所有权利。

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