Name
Title | ||
|---|---|---|
Haar wavelet method for solving fractional partial differential equations numerically |
Abstract | ||
|---|---|---|
In this paper, a wavelet operational method based on Haar wavelet is proposed to solve the fractional partial differential equations in the Caputo derivative sense. We give the Haar wavelet operational matrix of fractional order integration. A truncated Haar wavelet series together with the wavelet operational matrix are utilized to reduce the fractional partial differential equations to Sylvester equations. In addition, some examples are presented to show the efficiency and the accuracy of the approach. |
Year | DOI | Venue |
|---|---|---|
2014 | 10.1016/j.amc.2013.11.004 | Applied Mathematics and Computation |
Keywords | Field | DocType |
caputo derivative sense,fractional partial differential equation,fractional order integration,sylvester equation,haar wavelet,wavelet operational matrix,haar wavelet method,truncated haar wavelet series,haar wavelet operational matrix,wavelet operational method | Mathematical optimization,Sylvester equation,Mathematical analysis,Numerical partial differential equations,Discrete wavelet transform,Cascade algorithm,Haar wavelet,Stationary wavelet transform,Partial differential equation,Mathematics,Wavelet | Journal |
Volume | Issue | ISSN |
227 | C | 0096-3003 |
Citations | PageRank | References |
13 | 0.93 | 12 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Lifeng Wang | 1 | 13 | 0.93 |
| Yunpeng Ma | 2 | 16 | 4.67 |
| Zhijun Meng | 3 | 30 | 6.37 |