Name
Title | ||
|---|---|---|
A Formally Second-Order Bdf Finite Difference Scheme For The Integro-Differential Equations With The Multi-Term Kernels |
Abstract | ||
|---|---|---|
In this article, a formally second-order backward differentiation formula (BDF) finite difference scheme is presented for the integro-differential equations with the multi-term kernels. In the time direction, the time derivative is approximated by a second-order BDF scheme and the Riemann-Liouville (R-L) fractional integral terms are discretized by the second-order convolution quadrature rule. We construct a fully discrete difference scheme with the space discretization by the standard central difference formula. The and -norms stability, and convergence in -norm are derived by the discrete energy method. In the numerical experiments, the results are consistent with the theoretical analysis. |
Year | DOI | Venue |
|---|---|---|
2020 | 10.1080/00207160.2019.1677896 | INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS |
Keywords | DocType | Volume |
Integro-differential equations, second-order BDF scheme, multi-term kernels, second-order convolution quadrature rule, stability and convergence | Journal | 97 |
Issue | ISSN | Citations |
10 | 0020-7160 | 0 |
PageRank | References | Authors |
0.34 | 0 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Wenlin Qiu | 1 | 0 | 0.68 |
| Da. Xu | 2 | 74 | 11.27 |
| Hongbin Chen | 3 | 0 | 0.68 |