Name
Abstract | ||
|---|---|---|
In this decade, many new applications in engineering and science are governed by a series of fractional partial differential equations. In this paper, we propose a novel numerical method for a class of time-dependent fractional partial differential equations. The time variable is discretized by using the second order backward differentiation formula scheme, and the quasi-wavelet method is used for spatial discretization. The stability and convergence properties related to the time discretization are discussed and theoretically proven. Numerical examples are obtained to investigate the accuracy and efficiency of the proposed method. The comparisons of the present numerical results with the exact analytical solutions show that the quasi-wavelet method has distinctive local property and can achieve accurate results. |
Year | DOI | Venue |
|---|---|---|
2013 | 10.1080/00207160.2013.786050 | Int. J. Comput. Math. |
Keywords | Field | DocType |
time discretization,time-dependent fractional partial differential,quasi-wavelet method,spatial discretization,fractional partial differential equation,present numerical result,novel numerical method,time variable,numerical example,convergence,stability | Differential equation,Mathematical optimization,Exponential integrator,Mathematical analysis,First-order partial differential equation,Numerical partial differential equations,Method of lines,Stochastic partial differential equation,Backward differentiation formula,Numerical stability,Mathematics | Journal |
Volume | Issue | ISSN |
90 | 11 | 0020-7160 |
Citations | PageRank | References |
2 | 0.42 | 9 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Haixiang Zhang | 1 | 64 | 12.19 |
| Xuli Han | 2 | 159 | 22.91 |