Abstract
In this paper, new group iterative schemes are developed for the numerical solution of two-dimensional anomalous fractional sub-diffusion equation subject to specific initial and Dirichlet boundary conditions. The new group relaxation iterative schemes are derived from the combination of standard and rotated (skewed) five-point modified implicit finite difference ap-proximations. The results derived from the conducted numerical experiments show that fractional explicit de-coupled group (FEDG) iterative method has a significantly less computational cost in terms of CPU-timings as compared to the other iterative schemes, without threatening compromising accuracies.
| Original language | English |
|---|---|
| Pages (from-to) | 119-127 |
| Number of pages | 9 |
| Journal | Journal of Mathematics and Computer Science |
| Volume | 22 |
| Issue number | 2 |
| DOIs | |
| State | Published - 2020 |
| Externally published | Yes |
Bibliographical note
Publisher Copyright:© 2020, International Scientific Research Publications. All rights reserved.
Keywords
- Anomalous fractional sub-diffusion equation
- Fractional implicit rotated point
- Fractional implicit standard point
- Riemann-Liouville fractional derivative
ASJC Scopus subject areas
- Computational Mechanics
- General Mathematics
- Computer Science Applications
- Computational Mathematics
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