A Numerical Solution of Generalized Caputo Fractional Initial Value Problems
Fractal and Fractional, 2023 In this article, the numerical adaptive predictor corrector (Apc-ABM) method is presented to solve generalized Caputo fractional initial value problems. The Apc-ABM method was utilized to establish approximate series solutions. The presented technique is
Rania Saadeh +3 more
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A comparison between numerical solutions to fractional differential equations: Adams-type predictor-corrector and multi-step generalized differential transform method [PDF]
, 2017 In this note, two numerical methods of solving fractional differential equations (FDEs) are briefly described, namely predictor-corrector approach of Adams-Bashforth-Moulton type and multi-step generalized differential transform method (MSGDTM), and then
Ahrabi, Sima Sarv, Momenzadeh, Alireza
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On the numerical solution of the point reactor kinetics equations
Nuclear Engineering and Technology, 2020 The aim of this paper is to explore the 8th-order Adams-Bashforth-Moulton (ABM8) method in the solution of the point reactor kinetics equations. The numerical experiment considers feedback reactivity by Doppler effects, and insertions of reactivity.
D. Suescún-Díaz, G. Espinosa-Paredes
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Alexandria Engineering Journal, 2022 The current paper deals with the transmission of MERS-CoV model between the humans populace and the camels, which are suspected to be the primary source for the infection.
Qura Tul Ain +5 more
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Detailed error analysis for a fractional Adams method [PDF]
, 2004 This is a PDF version of a preprint submitted to Springer. The definitive version was published in the Numerical algorithms. The original publication is available at www.springerlink.comThis preprint discusses a method for a numerical solution of a ...
Diethelm, Kai +2 more
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Neutron Density Calculation Using the Generalised Adams-Bashforth-Moulton Method
Universitas Scientiarum, 2019 This paper presents a numerical solution to the equations of point kinetics for nuclear power reactors, a set of seven coupled differential equations that describe the temporal variation of neutron density and the concentration of delayed neutron ...
Daniel Suescún-Díaz, Diego A. Rasero Causil, Jaime H. Lozano-Parada
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ABC Fractional Derivative for the Alcohol Drinking Model using Two-Scale Fractal Dimension
Complexity, 2022 Drinking kills a significant proportion of individuals every year, particularly in low-income communities. An impulsive differential equation system is used to explore the effectiveness of activated charcoal in detoxifying the body after methanol ...
Qura Tul Ain +4 more
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Variable-rate data sampling for low-power microsystems using modified Adams methods [PDF]
, 2003 A method for variable-rate data sampling is proposed for the purpose of low-power data acquisition in a small footprint microsystem. The procedure enables energy saving by utilizing dynamic power management techniques and is based on the Adams-Bashforth ...
Cumming, D.R.S. +3 more
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Solving periodic semilinear stiff PDEs in 1D, 2D and 3D with exponential integrators [PDF]
, 2020 Dozens of exponential integration formulas have been proposed for the high-accuracy solution of stiff PDEs such as the Allen-Cahn, Korteweg-de Vries and Ginzburg-Landau equations.
Bootland, Niall, Montanelli, Hadrien
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MÉTODOS NUMÉRICOS RUNGE-KUTTA Y ADAMS BASHFORTH-MOULTON EN MATHEMATICA
Revista Ingeniería, Matemáticas y Ciencias de la Información, 2020 In this research, the main objective is to study the Runge -Kutta and Adams Bashforth- Moulton numerical methods. Tofulfill the purpose of this study, the Systems of differential equations of the Lotka-Volterra model was used and themathematical software
Jaime Segarra
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