Name
Abstract | ||
|---|---|---|
In this paper, we first introduce the fractional biharmonic equation and an orthogonal system of basis functions for the space of continuous functions on the interval [0,L], generated by the shifted Chebyshev polynomials. Moreover, we propose a computational method based on the operational matrix of fractional derivatives of these basis functions for solving the fractional biharmonic equation. The main characteristic behind this approach is that it reduces the problem under consideration to solving a system of algebraic equations which greatly simplifies the problem. Convergence of the shifted Chebyshev polynomials expansion in two-dimensions is investigated. Also the power of this manageable method is illustrated. |
Year | DOI | Venue |
|---|---|---|
2014 | 10.1016/j.camwa.2014.06.001 | Computers & Mathematics with Applications |
Keywords | Field | DocType |
biharmonic equation,operational matrix of fractional derivative,shifted chebyshev polynomials | Chebyshev polynomials,Convergence (routing),Continuous function,Mathematical optimization,Mathematical analysis,Chebyshev equation,Algebraic equation,Fractional calculus,Basis function,Biharmonic equation,Mathematics | Journal |
Volume | Issue | ISSN |
68 | 3 | 0898-1221 |
Citations | PageRank | References |
2 | 0.36 | 14 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| M. H. Heydari | 1 | 111 | 8.34 |
| Mohammad Reza Hooshmandasl | 2 | 58 | 6.61 |
| F. M. Maalek Ghaini | 3 | 45 | 5.31 |