Name
Title | ||
|---|---|---|
Quasi-wavelet based numerical method for fourth-order partial integro-differential equations with a weakly singular kernel |
Abstract | ||
|---|---|---|
In this paper, we study the numerical solution of initial boundary-value problem for the fourth-order partial integro-differential equations with a weakly singular kernel. We use the forward Euler scheme for time discretization and the quasi-wavelet based numerical method for space discretization. Detailed discrete formulations are given to the treatment of three different boundary conditions, including clamped-type condition, simply supported-type condition and a transversely supported-type condition. Some numerical experiments are included to demonstrate the validity and applicability of the discrete technique. The comparisons of present results with analytical solutions show that the quasi-wavelet based numerical method has a distinctive local property. Especially, the method is easy to implement and produce very accurate results. |
Year | DOI | Venue |
|---|---|---|
2011 | 10.1080/00207160.2011.587003 | Int. J. Comput. Math. |
Keywords | Field | DocType |
discrete technique,numerical method,numerical experiment,fourth-order partial integro-differential equation,detailed discrete formulation,weakly singular kernel,transversely supported-type condition,different boundary condition,clamped-type condition,supported-type condition,space discretization,numerical solution,integro differential equation,analytic solution,boundary condition | Discretization,Boundary value problem,Differential equation,Mathematical optimization,Mathematical analysis,Integro-differential equation,Local property,Numerical analysis,Numerical stability,Mathematics,Wavelet | Journal |
Volume | Issue | ISSN |
88 | 15 | 0020-7160 |
Citations | PageRank | References |
6 | 0.55 | 6 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Xuehua Yang | 1 | 45 | 5.38 |
| Da. Xu | 2 | 74 | 11.27 |
| Haixiang Zhang | 3 | 64 | 12.19 |