A novel L1-Predictor-Corrector method for the numerical solution of the generalized-Caputo type fractional differential equations

S M Sivalingam, Pushpendra Kumar, Hieu Trinh and V. Govindaraj

Mathematics and Computers in Simulation (MATCOM), 2024, vol. 220, issue C, 462-480

Abstract: This paper proposes a novel L1-based predictor–corrector method for the fractional differential equations involving generalized-Caputo type derivative. A decomposition scheme is used to obtain the three-point predictor–corrector formula. The error and stability of the proposed method are given in detail. A computer virus and a five-dimensional Hopfield neural network models are solved using the proposed approach.

Keywords: L1 difference scheme; Stability; Error estimation; Generalized-Caputo derivative (search for similar items in EconPapers)
Date: 2024
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:220:y:2024:i:c:p:462-480

DOI: 10.1016/j.matcom.2024.01.017

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