A NUMERICAL-METHOD FOR SINGULARLY PERTURBED SYSTEMS OF LINEAR 2-POINT BOUNDARY-VALUE-PROBLEMS USING PARTIAL DECOUPLING

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:40

Article

SINGH, A

关键词: BOUNDARY-VALUE PROBLEM;    PERTURBED SYSTEM;    DECOUPLING;    DIFFERENCE SCHEME;   

DOI  :  10.1016/0377-0427(92)90041-U

来源: Elsevier

【 摘 要 】

In this paper, a numerical method is proposed to solve singularly perturbed systems of linear two-point boundary-value problems. First, a partial decoupling transformation is applied to obtain an essentially independent subsystem for the slow component. Then, different difference schemes are applied to solve the slow and the remaining fast components. The schemes are second-order accurate. Test examples are included to demonstrate the efficiency of the method.

【 授权许可】

Free