Acta mathematica scientia,Series A ›› 2021, Vol. 41 ›› Issue (5): 1311-1322.
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Finite Difference Scheme for the Nonhomogeneous Initial Boundary Value Problem of Critical Schrödinger Map
Haiyun Deng1(
),Hui Liu2,*(),Wenjing Song3()
- 1 Department of Applied Mathematics, Nanjing Audit University, Nanjing 211815
2 School of Mathematical Sciences, Qufu Normal University, Shandong Qufu 273165
3 College of Science, Xi'an Polytechnic University, Xi'an 710048
-
Received:2020-08-13Online:2021-10-26Published:2021-10-08 -
Contact:Hui Liu E-mail:haiyundengmath1989@njust.edu.cn;liuhuinanshi@qfnu.edu.cn;wenjingsong1@163.com -
Supported by:the NSFC(12001276);the NSFC(12001275);the NSFC(12071219);the NSFC(11901342);the NSFC(12001415);the NSF of Shandong Province(ZR2018QA002);the China Postdoctoral Science Foundation(2019M652350)
CLC Number:
- O241.82
Cite this article
Haiyun Deng,Hui Liu,Wenjing Song. Finite Difference Scheme for the Nonhomogeneous Initial Boundary Value Problem of Critical Schrödinger Map[J].Acta mathematica scientia,Series A, 2021, 41(5): 1311-1322.
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| 时间层 | 精确解 | 差分格式解 | 误差值 | 所需时间(s) |
| 1 | 1.00+e00 | 1.00-4.44089e-16 | 4.44089e-16 | 0.017160 |
| 2 | 1.00+e00 | 1.00-3.33067e-16 | 3.33067e-16 | 0.012998 |
| 3 | 1.00+e00 | 1.00-3.33067e-16 | 3.33067e-16 | 0.011783 |
| 4 | 1.00+e00 | 1.00-4.44089e-16 | 4.44089e-16 | 0.011667 |
| 5 | 1.00+e00 | 1.00-6.66134e-16 | 6.66134e-16 | 0.011951 |
| 6 | 1.00+e00 | 1.00-4.44089e-16 | 4.44089e-16 | 0.011711 |
| 7 | 1.00+e00 | 1.00-3.33067e-16 | 3.33067e-16 | 0.011630 |
| 8 | 1.00+e00 | 1.00-4.44089e-16 | 4.44089e-16 | 0.011647 |
| 9 | 1.00+e00 | 1.00-5.55112e-16 | 5.55112e-16 | 0.011787 |
| 10 | 1.00+e00 | 1.00-5.55112e-16 | 5.55112e-16 | 0.011690 |
| 11 | 1.00+e00 | 1.00-4.44089e-16 | 4.44089e-16 | 0.011579 |
| 12 | 1.00+e00 | 1.00-4.44089e-16 | 4.44089e-16 | 0.011576 |
| 13 | 1.00+e00 | 1.00-3.33067e-16 | 3.33067e-16 | 0.011611 |
| 14 | 1.00+e00 | 1.00-3.33067e-16 | 3.33067e-16 | 0.011501 |
| 15 | 1.00+e00 | 1.00-4.44089e-16 | 4.44089e-16 | 0.011609 |
| 16 | 1.00+e00 | 1.00-4.44089e-16 | 4.44089e-16 | 0.011973 |
| 17 | 1.00+e00 | 1.00-4.44089e-16 | 4.44089e-16 | 0.011524 |
| 18 | 1.00+e00 | 1.00-3.33067e-16 | 3.33067e-16 | 0.012638 |
| 19 | 1.00+e00 | 1.00-4.44089e-16 | 4.44089e-16 | 0.011606 |
| 20 | 1.00+e00 | 1.00-3.33067e-16 | 3.33067e-16 | 0.011690 |
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