Name
Title | ||
|---|---|---|
Optimal Error Estimates of Spectral Petrov--Galerkin and Collocation Methods for Initial Value Problems of Fractional Differential Equations |
Abstract | ||
|---|---|---|
We present optimal error estimates for spectral Petrov-Galerkin methods and spectral collocation methods for linear fractional ordinary differential equations with initial value on a finite interval. We also develop Laguerre spectral Petrov-Galerkin methods and collocation methods for fractional equations on the half line. Numerical results confirm the error estimates. |
Year | DOI | Venue |
|---|---|---|
2015 | 10.1137/140988218 | SIAM JOURNAL ON NUMERICAL ANALYSIS |
Keywords | Field | DocType |
end-point singularity,spectral Petrov-Galerkin,collocation,error estimate,Jacobi polynomials,Laguerre polynomials | Differential equation,Mathematical optimization,Ordinary differential equation,Mathematical analysis,Orthogonal collocation,Spectral method,Initial value problem,Collocation method,Mathematics,Spectral element method,Collocation | Journal |
Volume | Issue | ISSN |
53 | 4 | 0036-1429 |
Citations | PageRank | References |
6 | 0.48 | 0 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Zhongqiang Zhang | 1 | 45 | 5.20 |
| Fanhai Zeng | 2 | 137 | 10.65 |
| George E. Karniadakis | 3 | 375 | 35.23 |