Name
Title | ||
|---|---|---|
An hp-version Spectral Collocation Method for Nonlinear Volterra Integro-differential Equation with Weakly Singular Kernels. |
Abstract | ||
|---|---|---|
In this paper, we present an hp-version Legendre---Jacobi spectral collocation method for the nonlinear Volterra integro-differential equations with weakly singular kernels. We derive hp-version error bounds of the collocation method under the $$H^1$$H1-norm for the Volterra integro-differential equations with smooth solutions on arbitrary meshes and singular solutions on quasi-uniform meshes. Numerical experiments demonstrate the effectiveness of the proposed method. |
Year | DOI | Venue |
|---|---|---|
2017 | 10.1007/s10915-017-0373-3 | J. Sci. Comput. |
Keywords | Field | DocType |
hp-version spectral collocation method, Nonlinear Volterra integro-differential equations, Weakly singular kernels, Convergence analysis, 65L60, 45D05, 41A10, 65L70 | Mathematical optimization,Nonlinear system,Polygon mesh,Mathematical analysis,Orthogonal collocation,Integro-differential equation,Spectral collocation,Collocation method,Mathematics,Volterra integral equation | Journal |
Volume | Issue | ISSN |
72 | 2 | 1573-7691 |
Citations | PageRank | References |
3 | 0.42 | 9 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Chuan-Li Wang | 1 | 3 | 0.42 |
| Zhong-qing Wang | 2 | 140 | 20.28 |
| Hong-Li Jia | 3 | 5 | 1.19 |