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Stability and convergence of the cubic B-spline collocation method for time-fractional advection-diffusion equation
  • Allahbakhsh YAZDANI CHERATI,
  • Mahmod BADR,
  • Zohre AZIMI
Allahbakhsh YAZDANI CHERATI
University of Mazandaran
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Mahmod BADR
University of Mazandaran
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Zohre AZIMI
University of Mazandaran
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Abstract

In this paper, the time-fractional advection-diffusion equation is solved by a cubic B-spline collocation method. For the fractional derivative we use the concept of the fractional derivative of Capato. Calculating of this numerical scheme is very simple. The presented numerical scheme is unconditional stable and highly accurate. We also obtain some error estimations with L2-norm and L∞-norm.

Peer review status:UNDER REVIEW

14 Jul 2020Submitted to Mathematical Methods in the Applied Sciences
19 Jul 2020Assigned to Editor
19 Jul 2020Submission Checks Completed
20 Jul 2020Reviewer(s) Assigned
10 Sep 2020Review(s) Completed, Editorial Evaluation Pending