Name
Title | ||
|---|---|---|
A Spectral Collocation Method for Nonlinear Fractional Boundary Value Problems with a Caputo Derivative. |
Abstract | ||
|---|---|---|
In this paper, we consider the nonlinear boundary value problems involving the Caputo fractional derivatives of order \(\alpha \in (1,2)\) on the interval (0, T). We present a Legendre spectral collocation method for the Caputo fractional boundary value problems. We derive the error bounds of the Legendre collocation method under the \(L^2\)- and \(L^\infty \)-norms. Numerical experiments are included to illustrate the theoretical results. |
Year | DOI | Venue |
|---|---|---|
2018 | 10.1007/s10915-017-0616-3 | J. Sci. Comput. |
Keywords | Field | DocType |
Spectral collocation method, Caputo fractional derivative, Fredholm integral equations, Convergence analysis, 65N35, 45D05, 41A05, 41A10, 41A25 | Boundary value problem,Mathematical optimization,Nonlinear system,Nonlinear boundary value problem,Mathematical analysis,Legendre polynomials,Singular boundary method,Fractional calculus,Collocation method,Spectral collocation,Mathematics | Journal |
Volume | Issue | ISSN |
76 | 1 | 0885-7474 |
Citations | PageRank | References |
3 | 0.40 | 7 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Chuanli Wang | 1 | 3 | 0.40 |
| Zhong-qing Wang | 2 | 140 | 20.28 |
| Li-Lian Wang | 3 | 367 | 43.47 |