Abstract
A finite difference scheme based on extended cubic B-spline method for the solution of time fractional telegraph equation is presented and discussed. The Caputo fractional formula is used in the discretization of the time fractional derivative. A combination of the Caputo fractional derivative together with an extended cubic B-spline is utilized to obtain the computed solutions. The proposed scheme is shown to possess the unconditional stability property with second order convergence. Numerical results demonstrate the applicability, simplicity and the strength of the scheme in solving the time fractional telegraph equation with accuracies very close to the exact solutions.
| Original language | English |
|---|---|
| Article number | 365 |
| Journal | Advances in Difference Equations |
| Volume | 2019 |
| Issue number | 1 |
| DOIs | |
| State | Published - 1 Dec 2019 |
| Externally published | Yes |
Bibliographical note
Publisher Copyright:© 2019, The Author(s).
Keywords
- Caputo’s fractional derivative
- Collocation method
- Convergence
- Extended cubic B-spline basis functions
- Stability analysis
- Time fractional telegraph equation
ASJC Scopus subject areas
- Analysis
- Algebra and Number Theory
- Applied Mathematics
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