Name
Abstract | ||
|---|---|---|
We consider applying the Strang splitting to semilinear parabolic problems. The key ingredients of the Strang splitting are the decomposition of the equation into several parts and the computation of approximate solutions by combining the time evolution of each split equation. However, when the Dirichlet boundary condition is imposed, order reduction could occur due to the incompatibility of the split equations with the boundary condition. In this paper, to overcome the order reduction, a modified Strang splitting procedure is presented for the one-dimensional semilinear parabolic equation with first-order spatial derivatives, like the Burgers equation. |
Year | DOI | Venue |
|---|---|---|
2019 | 10.14495/jsiaml.11.77 | JSIAM LETTERS |
Keywords | DocType | Volume |
semilinear parabolic problems,Strang splitting,order reduction,Burgers equation | Journal | 11 |
ISSN | Citations | PageRank |
1883-0609 | 0 | 0.34 |
References | Authors | |
0 | 5 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Kosuke Nakano | 1 | 0 | 0.34 |
| Tomoya Kemmochi | 2 | 0 | 0.68 |
| Yuto Miyatake | 3 | 17 | 4.40 |
| Tomohiro Sogabe | 4 | 154 | 20.86 |
| Shao-Liang Zhang | 5 | 92 | 19.06 |