Parameter Uniform Numerical Method for Singularly Perturbed 2D Parabolic PDE with Shift in Space

被引：3

作者：

Subburayan, V ^{[1
]}

Natesan, S. ^{[2
]}

机构：

[1] SRM Inst Sci & Technol, Coll Engn & Technol, Dept Math, Kattankulathur 603203, Tamil Nadu, India

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

来源：

MATHEMATICS | 2022年 / 10卷 / 18期

关键词：

delay differential equations; 2D parabolic equations; fractional step method; convection diffusion problems; CONVECTION-DIFFUSION PROBLEMS; BOUNDARY-VALUE-PROBLEMS; SCHEME;

D O I：

10.3390/math10183310

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Singularly perturbed 2D parabolic delay differential equations with the discontinuous source term and convection coefficient are taken into consideration in this paper. For the time derivative, we use the fractional implicit Euler method, followed by the fitted finite difference method with bilinear interpolation for locally one-dimensional problems. The proposed method is shown to be almost first-order convergent in the spatial direction and first-order convergent in the temporal direction. Theoretical results are illustrated with numerical examples.

引用

页数：19

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