Abstract
In this paper, we first introduce two dimensional block pulse functions and the block pulse operational matrices of the fractional order integration. Also the block pulse operational matrices of the fractional order differentiation are obtained. Then we present a computational method based on the above results for solving a class of fractional partial differential equations. Transforming the initial equation into a Sylvester equation. The error analysis of the method is given. The method is computationally attractive and applications are demonstrated by some numerical examples. Moreover, comparing the methodology with the known technique shows that our approach is more efficient and more convenient.
| Original language | English |
|---|---|
| Pages (from-to) | 121-131 |
| Number of pages | 11 |
| Journal | Applied Mathematics and Computation |
| Volume | 221 |
| DOIs | |
| State | Published - 2013 |
Keywords
- Block pulse functions
- Error analysis
- Fractional partial differential equation
- Numerical solution
- Operational matrix
- Sylvester equation
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