A ROBUST COMPUTATIONAL TECHNIQUE FOR A SYSTEM OF SINGULARLY PERTURBED CONVECTION-DIFFUSION EQUATIONS

被引：0

作者：

Kumar, Vinod ^{[1
]}

Bawa, R. K. ^{[2
]}

Lal, A. K. ^{[1
]}

机构：

[1] Thapar Univ, SMCA, Patiala 147004, Punjab, India

[2] Punjabi Univ, Dept Comp Sci, Patiala 147002, Punjab, India

来源：

INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS | 2013年 / 10卷 / 05期

关键词：

Asymptotic expansion approximation; backward difference operator; piecewise uniform Shishkin mesh; system of singularly perturbed convection-diffusion equations; SCHEME;

D O I：

10.1142/S0219876213500278

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this paper, a singularly perturbed system of convection-diffusion boundary value problem (BVP) is examined. To solve such type of problem, a modified initial value technique (MIVT) is proposed on an appropriate piecewise uniform Shishkin mesh. The MIVT is shown to be uniformly convergent with respect to the perturbation parameter. Numerical results are presented which are in agreement with the theoretical results.

引用

页数：14

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