临界Schrödinger映射非齐次初边值问题的有限差分格式
|
|
邓海云,刘辉,宋文静
|
Finite Difference Scheme for the Nonhomogeneous Initial Boundary Value Problem of Critical Schrödinger Map
|
|
Haiyun Deng,Hui Liu,Wenjing Song
|
|
表 1 误差值表
|
| |
|
| 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 |
|
|
|