Back to Search
Start Over
An unconditionally stable algorithm for multiterm time fractional advection–diffusion equation with variable coefficients and convergence analysis.
- Source :
- Numerical Methods for Partial Differential Equations; May2021, Vol. 37 Issue 3, p1928-1945, 18p
- Publication Year :
- 2021
-
Abstract
- This paper focuses on the numerical solution of the variable coefficient multiterm time fractional advection–diffusion equation via exponential B‐splines. We discretize the temporal part by using the Crank–Nicolson method and spatial part by the exponential B‐splines. The unconditional stability is obtained by the Von‐Neumann method. The convergence rates are also studied. Numerical simulations confirm the theoretically expected accuracy in both time and space directions. A comparative analysis with the other methods shows the superiority of the proposed algorithm. [ABSTRACT FROM AUTHOR]
- Subjects :
- ADVECTION-diffusion equations
CRANK-nicolson method
ALGORITHMS
COMPUTER simulation
Subjects
Details
- Language :
- English
- ISSN :
- 0749159X
- Volume :
- 37
- Issue :
- 3
- Database :
- Complementary Index
- Journal :
- Numerical Methods for Partial Differential Equations
- Publication Type :
- Academic Journal
- Accession number :
- 149551972
- Full Text :
- https://doi.org/10.1002/num.22629