Second order parameter-uniform convergence for a finite difference method for a partially singularly perturbed linear parabolic system

Franklin Victor; Miller John J.H.; Valarmathi Sigamani

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Second order parameter-uniform convergence for a finite difference method for a partially singularly perturbed linear parabolic system

机译：部分奇摄动线性抛物方程组有限差分法的二阶参数一致收敛

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Alinearsystemof$n$secondorderdifferentialequationsofparabolicreaction-diffusiontypewithinitialandboundaryconditionsisconsidered.Thefirst$k$equationsaresingularlyperturbed.Eachoftheleadingtermsofthefirst...

机译：考虑抛物线型反应-扩散类型的n阶二阶差分方程的线性系统，具有初始土地边界条件。第一个k个方程奇异地受到扰动。

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《Mathematical communications》 |2014年第3期|共页
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Franklin Victor; Miller John J.H.; Valarmathi Sigamani;
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1. Second order parameter-uniform convergence for a finite difference method for a singularly perturbed linear parabolic system [J] . Franklin V., Paramasivam M., Miller J.J.H., International journal of numerical analysis and modeling . 2013,第1期

机译：奇摄动线性抛物方程组有限差分法的二阶参数一致收敛
2. A parameter-uniform finite difference method for singularly perturbed linear dynamical systems [J] . Valarmathi S., Miller J.J.H. International journal of numerical analysis and modeling . 2010,第3期

机译：奇摄动线性动力系统的参数一致有限差分方法
3. A parameter-uniform hybrid finite difference scheme for singularly perturbed system of parabolic convection-diffusion problems [J] . Singh Maneesh Kumar, Natesan Srinivasan International journal of computer mathematics . 2020,第1a4期

机译：抛物线对流扩散问题的奇异扰动系统的参数均匀混合有限差分方案
4. A Parameter-Uniform Finite Difference Method for a Singularly Perturbed Initial Value Problem: A Special Case [C] . International conference on boundary and interior layers-computational and asymptotic methods . 2009

机译：一个奇异扰动初始值问题的参数均匀有限差分方法：一个特例
5. Adaptive HP-refinement methods for singularly-perturbed elliptic and parabolic systems. [D] . Aiffa, Mohammed. 1998

机译：奇异摄动椭圆和抛物线系统的自适应HP细化方法。
6. Superconvergence of semidiscrete finite element methods for bilinear parabolic optimal control problems [O] . Yuelong Tang, Yuchun Hua -1

机译：双线性抛物线最优控制问题的半离散有限元方法的超收敛性
7. Second order parameter-uniform convergence for a finite difference method for a singularly perturbed linear parabolic system [O] . Franklin, V., Paramasivam, M., Valarmathi, S., 2010

机译：二阶参数 - 有限差分的均匀收敛奇异摄动线性抛物方程组的一种方法

Second order parameter-uniform convergence for a finite difference method for a partially singularly perturbed linear parabolic system

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