Name
Title | ||
|---|---|---|
An ADI Crank-Nicolson Orthogonal Spline Collocation Method for the Two-Dimensional Fractional Diffusion-Wave Equation. |
Abstract | ||
|---|---|---|
A new method is formulated and analyzed for the approximate solution of a two-dimensional time-fractional diffusion-wave equation. In this method, orthogonal spline collocation is used for the spatial discretization and, for the time-stepping, a novel alternating direction implicit method based on the Crank---Nicolson method combined with the $$L1$$L1-approximation of the time Caputo derivative of order $$\\alpha \\in (1,2)$$¿¿(1,2). It is proved that this scheme is stable, and of optimal accuracy in various norms. Numerical experiments demonstrate the predicted global convergence rates and also superconvergence. |
Year | DOI | Venue |
|---|---|---|
2015 | 10.1007/s10915-015-0003-x | Journal of Scientific Computing |
Keywords | DocType | Volume |
Two-dimensional fractional diffusion-wave equation, Caputo derivative, Alternating direction implicit method, Orthogonal spline collocation method, Optimal global convergence estimates, Superconvergence, 65M70, 65M12, 65M15, 35R11 | Journal | 65 |
Issue | ISSN | Citations |
3 | 1573-7691 | 6 |
PageRank | References | Authors |
0.46 | 14 | 4 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Graeme Fairweather | 1 | 165 | 40.42 |
| Xuehua Yang | 2 | 6 | 0.46 |
| Da. Xu | 3 | 74 | 11.27 |
| Haixiang Zhang | 4 | 64 | 12.19 |