Name
Title | ||
|---|---|---|
Numerical Study Of The Variable-Order Fractional Version Of The Nonlinear Fourth-Order 2d Diffusion-Wave Equation Via 2d Chebyshev Wavelets |
Abstract | ||
|---|---|---|
In this article, the 2D Chebyshev wavelets (CWs) are used for designing a proper procedure to solve the variable-order (VO) fractional version of the nonlinear fourth-order diffusion-wave (DW) equation. In the presented model, fractional derivatives are defined in the Caputo type. The theta-weighted finite difference technique is utilized to approximate the VO time fractional derivative through a recursive algorithm. By expanding the unknown solution in terms of the 2D CWs and substituting in the recursive equation, a linear system of algebraic equation is obtained. The accuracy of the method is studied on some numerical example. |
Year | DOI | Venue |
|---|---|---|
2021 | 10.1007/s00366-020-00995-z | ENGINEERING WITH COMPUTERS |
Keywords | DocType | Volume |
Chebyshev wavelets (CWs), Variable-order (VO) time fractional derivative, Nonlinear fourth-order 2D diffusion-wave (DW) equation | Journal | 37 |
Issue | ISSN | Citations |
4 | 0177-0667 | 1 |
PageRank | References | Authors |
0.37 | 0 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| M. Hosseininia | 1 | 3 | 1.13 |
| m h heydari | 2 | 8 | 3.28 |
| Zakieh Avazzadeh | 3 | 13 | 5.90 |