Name
Title | ||
|---|---|---|
An Efficient Spline Collocation Method for a Nonlinear Fourth-Order Reaction Subdiffusion Equation. |
Abstract | ||
|---|---|---|
The nonlinear fourth-order reaction-subdiffusion equation whose solutions display a typical initial weak singularity is considered. A new analytical technique is introduced to analyze orthogonal spline collocation (OSC) method based on L1 scheme on graded mesh. By introducing a discrete convolution kernel and discrete fractional Gronwall inequality, convergence of the scheme is proved rigorously. This novel analytical technique can provide new insights in analyzing other time fractional fourth-order differential equations with weakly singular solutions. |
Year | DOI | Venue |
|---|---|---|
2020 | 10.1007/s10915-020-01308-8 | JOURNAL OF SCIENTIFIC COMPUTING |
Keywords | DocType | Volume |
Fourth-order time fractional equation,Finite difference method,Collocation scheme,Convergence | Journal | 85.0 |
Issue | ISSN | Citations |
1.0 | 0885-7474 | 1 |
PageRank | References | Authors |
0.36 | 0 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Haixiang Zhang | 1 | 64 | 12.19 |
| Xuehua Yang | 2 | 45 | 5.38 |
| Da. Xu | 3 | 74 | 11.27 |