On high order numerical schemes for fractional differential equations by block-by-block approach

Lili Li, Dan Zhao, Mianfu She and Xiaoli Chen

Applied Mathematics and Computation, 2022, vol. 425, issue C

Abstract: The exact solutions to nonlinear fractional problems usually have initial singularity. Taking the singularity into account, the change of variable and the block-by-block approach are introduced to propose a novel high-order scheme. It is proved that our proposed scheme can be of order 3+α under the non-smooth solutions. Numerical examples are shown to validate our theoretical results.

Keywords: Nonlinear fractional differential equation; High order scheme; Convergence; Non-smooth solution (search for similar items in EconPapers)
Date: 2022
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:425:y:2022:i:c:s0096300322001825

DOI: 10.1016/j.amc.2022.127098

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