ON SOLUTIONS OF SOME FRACTIONAL ORDER PARABOLIC EQUATIONS BY THE SBA PLUS METHOD
Keywords:
Some Blaise Abbo (SBA) method, fractional derivative in the Caputo’s sense, parabolic PDEs.DOI:
https://doi.org/10.17654/0975045224004Abstract
We solve parabolic PDEs of fractional order in the Caputo sense using a numerical method called Some Blaise Abbo (SBA). The SBA method uses an algorithm that converges faster to the exact solution, when it exists in the appropriate functional space. The present article complements recent work of parabolic PDEs in the Riemann-Liouville sense of order $\alpha$ with $0<\alpha \leq 1$.
Received: October 6, 2023
Accepted: November 29, 2023
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