Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6892010 | Computers & Mathematics with Applications | 2018 | 16 Pages |
Abstract
We develop efficient algorithms based on the Legendre-tau approximation for one- and two-dimensional fractional Rayleigh-Stokes problems for a generalized second-grade fluid. The time fractional derivative is described in the Riemann-Liouville sense. Discussions on the L2-convergence of the proposed method are presented. Numerical results for one- and two-dimensional examples with smooth and nonsmooth solutions are provided to verify the validity of the theoretical analysis, and to illustrate the efficiency of the proposed algorithms.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Mahmoud A. Zaky,