Several effective algorithms for nonlinear time fractional models

Hongyu Qin and Fengyan Wu

Applied Mathematics and Computation, 2019, vol. 363, issue C, -

Abstract: In this paper, several effective algorithms are proposed to simulate the time fractional models. A complete analysis of the algorithms for nonlinear problems is presented, while the previous investigations mainly focus on construction and analysis of L1-type method for the linear time fractional problems. After that, by using the sum-of-exponentials approximation, we develop the corresponding accelerated methods. We obtain that computational cost is reduced from O(N2) to O(logN) or O(log2N), where N denotes total number of time steps. Finally, several numerical experiments on several real-world models are proposed to confirm the effectiveness of the algorithms.

Keywords: Effective algorithms; Numerical simulation; Computational cost; Real-world models (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:363:y:2019:i:c:36

DOI: 10.1016/j.amc.2019.124598

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