Name
Title | ||
|---|---|---|
Numerical solution of fractional advection-diffusion equation with a nonlinear source term |
Abstract | ||
|---|---|---|
In this paper we use the Jacobi collocation method for solving a special kind of the fractional advection-diffusion equation with a nonlinear source term. This equation is the classical advection-diffusion equation in which the space derivatives are replaced by the Riemann-Liouville derivatives of order 0 < ≤ 1 and 1 < μ ≤ 2. Also the stability and convergence of the presented method are shown for this equation. Finally some numerical examples are solved using the presented method. |
Year | DOI | Venue |
|---|---|---|
2015 | 10.1007/s11075-014-9863-7 | Numerical Algorithms |
Keywords | Field | DocType |
Fractional advection-diffusion equation,Riemann-Liouville derivative,Jacobi polynomials,Operational matrix,Collocation method,Stability analysis and convergence.,35R11,26A33,33C45,44A45,65L60. | Convection–diffusion equation,Mathematical optimization,Equation solving,Nonlinear system,Orthogonal collocation,Mathematical analysis,Integro-differential equation,Jacobi polynomials,Collocation method,Partial differential equation,Mathematics | Journal |
Volume | Issue | ISSN |
68 | 3 | 1017-1398 |
Citations | PageRank | References |
12 | 0.71 | 21 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| M. Parvizi | 1 | 32 | 1.81 |
| M. R. Eslahchi | 2 | 88 | 13.65 |
| Mehdi Dehghan | 3 | 3022 | 324.48 |