| 奇摄动问题中阶梯状解的缝接法 |
| |
| 引用本文： | 倪明康,古尔曼.奇摄动问题中阶梯状解的缝接法[J].数学研究及应用,2012,32(1):26-32. |
| |
| 作者姓名： | 倪明康 古尔曼 |
| |
| 作者单位： | 华东师范大学数学系, 上海 200062; 上海高校计算科学E-研究院,上海交大研究院,上海 200062;俄罗斯科学院程序系统研究所, 俄罗斯 莫斯科 |
| |
| 基金项目： | 国家自然科学基金(Grant Nos.11071075;11171113),俄罗斯基础研究基金(Grant No.12-01-00256),国家自然科学基金中国科学院知识创新工程资助(Grant Nos.30921064; 90820307),上海市自然科学基金(Grant No.10ZR1409200),上海高校计算科学E-研究院交大研究所(Grant No.E03004). |
| |
| 摘 要： | In view of singularly perturbed problems with complex inner layer phenomenon,including contrast structures(step-step solution and spike-type solution),corner layer behavior and right-hand side discontinuity,we carry out the process with sewing connection.The presented method of sewing connection for singularly perturbed equations is based on the two points singularly perturbed simple boundary problems.By means of sewing orbit smoothness,we get the uniformly valid solution in the whole interval.It is easy to prove the existence of solutions and deal with the high dimensional singularly perturbed problems.
|
| 关 键 词： | sewing connection internal layer phenomenon asymptotic expansion. |
| 收稿时间： | 2010/1/18 0:00:00 |
| 修稿时间： | 2010/4/27 0:00:00 |
Sewing Connection of Step-Step Solution for Singularly Perturbed Problems |
| |
| Ming Kang NI and V. I. GURMAN.Sewing Connection of Step-Step Solution for Singularly Perturbed Problems[J].Journal of Mathematical Research with Applications,2012,32(1):26-32. |
| |
| Authors: | Ming Kang NI and V I GURMAN |
| |
| Institution: | Department of Mathematics, East China Normal University, Shanghai 200062, P. R. China; Division of Computational Science, E-Institute of Shanghai Universities at SJTU, Shanghai 200030, P. R. China;Institute for Program Systems, Russian Academy of Sciences, Moscow, Russia |
| |
| Abstract: | In view of singularly perturbed problems with complex inner layer phenomenon, including contrast structures (step-step solution and spike-type solution), corner layer behavior and right-hand side discontinuity, we carry out the process with sewing connection. The presented method of sewing connection for singularly perturbed equations is based on the two points singularly perturbed simple boundary problems. By means of sewing orbit smoothness, we get the uniformly valid solution in the whole interval. It is easy to prove the existence of solutions and deal with the high dimensional singularly perturbed problems. |
| |
| Keywords: | sewing connection internal layer phenomenon asymptotic expansion |
| 本文献已被 CNKI 等数据库收录！ |
| 点击此处可从《数学研究及应用》浏览原始摘要信息 |
| 点击此处可从《数学研究及应用》下载免费的PDF全文 |
