...
  • 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Numerical analysis and applications >Factorization Method for Linear and QuasilinearSingularly Perturbed Boundary Value Problemsfor Ordinary Differential Equations
【24h】

Factorization Method for Linear and QuasilinearSingularly Perturbed Boundary Value Problemsfor Ordinary Differential Equations

机译：常微分方程线性和拟线性奇摄动边值问题的分解方法

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

For linear singularly perturbed boundary value problems, we come up with a method that reduces solving a differential problem to a discrete (difference) problem. Difference equations, which are an exact analog of differential equations, are constructed by the factorization method. Coefficients of difference equations are calculated by solving Cauchy problems for first-order differential equations. In this case nonlinear Ricatti equations with a small parameter are solved by asymptotic methods, and solving linear equations reduces to computing quadratures. A solution for quasilinear singularly perturbed equations is obtained by means of an implicit relaxation method. A solution to a linearized problem is calculated by analogy with a linear problem at each iterative step. The method is tested against solutions to the known Lagerstrom—Cole problem.
机译：对于线性奇异摄动边值问题，我们提出了一种将求解差分问题简化为离散（差分）问题的方法。差分方程是微分方程的精确模拟，它是通过分解法构造的。通过求解一阶微分方程的柯西问题，计算出微分方程的系数。在这种情况下，采用渐近方法求解具有小参数的非线性Ricatti方程，求解线性方程式则简化为求积分。通过隐式松弛方法获得了拟线性奇摄动方程的解。通过在每个迭代步骤中与线性问题进行类比来计算线性化问题的解决方案。针对已知的Lagerstrom-Cole问题的解决方案测试了该方法。

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