Name
Title | ||
|---|---|---|
The Bdf Orthogonal Spline Collocation Method For The Two-Dimensional Evolution Equation With Memory |
Abstract | ||
|---|---|---|
In this paper, a second-order backward differentiation formula (BDF) orthogonal spline collocation (OSC) method with the truncation error of order 3/2 in time and h(r+1) in space is presented for a kind of partial differential equation (PDE) with memory. The stability and convergence of the BDF OSC method in a new norm are proved. Besides, we provide three numerical experiments to demonstrate the results of theoretical analysis and show the accuracy and effectiveness of the BDF OSC method. Numerical experiments also exhibit the optimal error estimates in the L-2, L-infinity and H-1-norms. |
Year | DOI | Venue |
|---|---|---|
2018 | 10.1080/00207160.2017.1347259 | INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS |
Keywords | Field | DocType |
Evolution equation with memory, second-order BDF, orthogonal spline collocation, stability, convergence | Convergence (routing),Truncation error,Mathematical optimization,Mathematical analysis,Orthogonal collocation,Spline collocation,Backward differentiation formula,Partial differential equation,Mathematics,Evolution equation | Journal |
Volume | Issue | ISSN |
95 | 10 | 0020-7160 |
Citations | PageRank | References |
1 | 0.37 | 10 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Haixiang Zhang | 1 | 64 | 12.19 |
| Xuehua Yang | 2 | 45 | 5.38 |