| Autor: |
Ahmad Izani Md. Ismail, Muhammad Abbas, Tayyaba Akram |
| Rok vydání: |
2019 |
| Předmět: |
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| Zdroj: |
PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCES AND TECHNOLOGY 2018 (MATHTECH2018): Innovative Technologies for Mathematics & Mathematics for Technological Innovation. |
| ISSN: |
0094-243X |
| DOI: |
10.1063/1.5136449 |
| Popis: |
In this paper, an extended cubic B-spline scheme is developed to solve the time fractional sub-diffusion equation. The time fractional derivative is represented using Caputo’s formula and the discretization utilizes the θ-weighted scheme. The scheme is unconditionally stable and the convergence is shown to be of second order. The results of numerical experiments indicate the effectiveness of the proposed method.In this paper, an extended cubic B-spline scheme is developed to solve the time fractional sub-diffusion equation. The time fractional derivative is represented using Caputo’s formula and the discretization utilizes the θ-weighted scheme. The scheme is unconditionally stable and the convergence is shown to be of second order. The results of numerical experiments indicate the effectiveness of the proposed method. |
| Databáze: |
OpenAIRE |
| Externí odkaz: |
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