Journal
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS
Volume 37, Issue 3, Pages 1928-1945Publisher
WILEY
DOI: 10.1002/num.22629
Keywords
Caputo derivative; convergence; exponential B‐ splines; multiterm time fractional advection– diffusion equation; stability
Categories
Funding
- University Grants Commission of India [2061440951, 22/06/14(i)EU-V]
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This paper focuses on numerically solving the variable coefficient multiterm time fractional advection-diffusion equation using exponential B-splines. The temporal part is discretized using the Crank-Nicolson method and spatial part by exponential B-splines. The results show unconditional stability, convergence rates, and superiority over other methods in both time and space directions.
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.
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