Name
Title | ||
|---|---|---|
Linearized compact difference methods combined with Richardson extrapolation for nonlinear delay Sobolev equations |
Abstract | ||
|---|---|---|
•This paper deals with the numerical computation and analysis for nonlinear delay Sobolev equations.•Linearized compact difference methods (LCDMs) are proposed for solving 1D and 2D nonlinear delay Sobolev equations, respectively.•The proposed methods are proved to be unique solvable and have secondorder accuracy in time and fourth-order accuracy in space.•An extrapolation technique is combined with LCDMs which improves the accuracy in time and fourth-order accuracy in time can be achieved.•Several numerical examples testify the theoretical results and the computational effectiveness of the proposed methods. |
Year | DOI | Venue |
|---|---|---|
2020 | 10.1016/j.cnsns.2020.105461 | Communications in Nonlinear Science and Numerical Simulation |
Keywords | DocType | Volume |
Nonlinear delay Sobolev equations,Linearized compact difference method,Richardson extrapolation,Solvability,Error analysis | Journal | 91 |
ISSN | Citations | PageRank |
1007-5704 | 0 | 0.34 |
References | Authors | |
0 | 2 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Chengjian Zhang | 1 | 185 | 29.75 |
| Zengqiang Tan | 2 | 1 | 1.04 |