Complete flux scheme for parabolic singularly perturbed differential-difference equations

被引：2
|
作者：
Kumar, Sunil [1 ]
Kumar, Bayya Venkatesulu Rathish [2 ]
Boonkkamp, Johannes Hendrikus Maria Ten Thije [3 ]
机构：
[1] Univ Delhi, Dept Math, Deshbandhu Coll, New Delhi, India
[2] Indian Inst Technol Kanpur, Dept Math & Stat, Kanpur, Uttar Pradesh, India
[3] Eindhoven Univ Technol, Dept Math & Comp Sci, Eindhoven, Netherlands
来源：
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS | 2019年 / 35卷 / 02期
关键词：
differential-difference equations; finite volume method; flux; integral representation of the flux; singularly perturbed problems;
D O I：
10.1002/num.22325
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this study, we investigate the concept of the complete flux (CF) obtained as a solution to a local boundary value problem (BVP) for a given parabolic singularly perturbed differential-difference equation (SPDDE) with modified source term to propose an efficient complete flux-finite volume method (CF-FVM) for parabolic SPDDE which is - and E-uniform method where , E are shift and perturbation parameters, respectively. The proposed numerical method is shown to be consistent, stable, and convergent and has been successfully implemented on three test problems.
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页码：790 / 804
页数：15
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