computational schemes numerical scheme derivative
Research gap analysis derived from 2 biology papers in our local library.
The gap
No comparison is provided between the proposed Adams-Bashforth scheme using the Kayo-Kengne-Akgül derivative and alternative numerical schemes (e.g., Runge-Kutta methods, Predictor-Corrector methods) for fractional-order chaotic systems in terms of computational cost, accuracy, and stability across the fractional order range α ∈ [0, 1].; No numerical experiments or computational performance comparisons are provided between the proposed schemes and existing methods beyond the theoretical...
Research trend
Emerging — attention growing, methods still coalescing.
Supporting evidence — 2 representative gaps
- Adams-Bashforth Scheme and Kayo-Kengne-Akgül Derivative: Connexion and Chaotic Modelling (2026) · doi
No comparison is provided between the proposed Adams-Bashforth scheme using the Kayo-Kengne-Akgül derivative and alternative numerical schemes (e.g., Runge-Kutta methods, Predictor-Corrector methods) for fractional-order chaotic systems in terms of computational cost, accuracy, and stability across the fractional order range α ∈ [0, 1].
Keywords: Adams-Bashforth Kayo-Kengne-Akgül derivative Runge-Kutta fractional-order numerical schemes comparison - A class of non-stationary ternary 4-point subdivision schemes based on iterations (2026) · doi
No numerical experiments or computational performance comparisons are provided between the proposed schemes and existing methods beyond the theoretical comparison in Table 1.
Keywords: numerical experiments computational performance comparisons provided proposed schemes existing beyond theoretical comparison
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