Robust numerical method for space shift 2D singularly perturbed parabolic convection diffusion differential equations

被引：1

作者：

Veerasamy, Subburayan ^{[1
]}

Srinivasan, Natesan ^{[2
]}

机构：

[1] SRM Inst Sci & Technol, Dept Math, Chengalpattu 603203, Tamil Nadu, India

[2] Indian Inst Technol, Dept Math, Gauhati 781039, Assam, India

来源：

COMPUTATIONAL & APPLIED MATHEMATICS | 2023年 / 42卷 / 04期

关键词：

Delay differential equations; 2D parabolic equations; Fractional step method; Convection diffusion problems; BOUNDARY-VALUE-PROBLEMS; INITIAL-VALUE TECHNIQUE; MESH; SCHEME;

D O I：

10.1007/s40314-023-02289-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This article deals with 2D singularly perturbed parabolic delay differential equations. First, we apply implicit fractional Euler method for discretizing the derivative with respect to time and then we apply upwind finite difference method with bilinear interpolation to the locally one-dimensional problems with space shift. It is proved that the present finite difference method is almost first-order convergence in time and spatial directions. Numerical examples are given to illustrate the theoretical results.

引用

页数：20

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