Name
Abstract | ||
|---|---|---|
In this article we investigate the solution of the steady-state fractional diffusion equation on a bounded domain in R-1. The diffusion operator investigated, motivated by physical considerations, is neither the Riemann-Liouville nor the Caputo fractional diffusion operator. We determine a closed form expression for the kernel of the fractional diffusion operator which, in most cases, determines the regularity of the solution. Next we establish that the Jacobi polynomials are pseudo eigenfunctions for the fractional diffusion operator. A spectral type approximation method for the solution of the steady-state fractional diffusion equation is then proposed and studied. |
Year | DOI | Venue |
|---|---|---|
2018 | 10.1090/mcom/3295 | MATHEMATICS OF COMPUTATION |
Field | DocType | Volume |
Mathematical optimization,Eigenfunction,Mathematical analysis,Closed-form expression,Jacobi polynomials,Differential operator,Operator (computer programming),Fractional calculus,Mathematics,Diffusion equation,Bounded function | Journal | 87 |
Issue | ISSN | Citations |
313 | 0025-5718 | 8 |
PageRank | References | Authors |
0.53 | 10 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Vincent J. Ervin | 1 | 118 | 15.66 |
| Norbert Heuer | 2 | 263 | 39.70 |
| John Paul Roop | 3 | 94 | 11.20 |