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A Fast Galerkin Approach for Solving the Fractional Rayleigh–Stokes Problem via Sixth-Kind Chebyshev Polynomials
| Content Provider | MDPI |
|---|---|
| Author | Atta, Ahmed Gamal Abd-Elhameed, Waleed Mohamed Moatimid, Galal Mahrous Youssri, Youssri Hassan |
| Copyright Year | 2022 |
| Description | Herein, a spectral Galerkin method for solving the fractional Rayleigh–Stokes problem involving a nonlinear source term is analyzed. Two kinds of basis functions that are related to the shifted sixth-kind Chebyshev polynomials are selected and utilized in the numerical treatment of the problem. Some specific integer and fractional derivative formulas are used to introduce our proposed numerical algorithm. Moreover, the stability and convergence accuracy are derived in detail. As a final validation of our theoretical results, we present a few numerical examples. |
| Starting Page | 1843 |
| e-ISSN | 22277390 |
| DOI | 10.3390/math10111843 |
| Journal | Mathematics |
| Issue Number | 11 |
| Volume Number | 10 |
| Language | English |
| Publisher | MDPI |
| Publisher Date | 2022-05-27 |
| Access Restriction | Open |
| Subject Keyword | Mathematics Fractional Differential Equations Orthogonal Polynomials Spectral Methods Convergence Analysis |
| Content Type | Text |
| Resource Type | Article |
