Name
Title | ||
|---|---|---|
The method of approximate particular solutions for the time-fractional diffusion equation with a non-local boundary condition |
Abstract | ||
|---|---|---|
In this paper, we consider the numerical solution of the time-fractional diffusion equation with a non-local boundary condition. The method of approximate particular solutions (MAPS) using multiquadric radial basis function (MQ-RBF) is employed for this equation. Due to the accuracy of the MQ-based meshless methods is severely influenced by the shape parameter, we adopt a leave-one-out cross validation (LOOCV) algorithm proposed by Rippa 34] to enhance the performance of the MAPS. The numerical results obtained show that the proposed numerical algorithm is accurate and computationally efficient for solving time-fractional diffusion equation with a non-local boundary condition. |
Year | DOI | Venue |
|---|---|---|
2015 | 10.1016/j.camwa.2015.04.030 | Computers & Mathematics with Applications |
Keywords | Field | DocType |
Method of approximate particular solutions,Shape parameter,Fractional diffusion equation,Non-local integral condition | Boundary value problem,Mathematical optimization,Meshfree methods,Radial basis function,Mathematical analysis,Poincaré–Steklov operator,Shape parameter,Singular boundary method,Mathematics,Diffusion equation,Mixed boundary condition | Journal |
Volume | Issue | ISSN |
70 | 3 | 0898-1221 |
Citations | PageRank | References |
4 | 0.45 | 16 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Liang Yan | 1 | 13 | 3.55 |
| Fenglian Yang | 2 | 27 | 3.83 |