A Predictor-Corrector Approach for the Numerical Solution of Fractional Differential Equations
By Kai Diethelm, Neville J. Ford, Alan D. Freed. 2013
2,207 citations recorded by the source corpus.
Subfields: Modeling and Simulation, Numerical Analysis
View Paper: https://www.semanticscholar.org/paper/48235b95508564886b4ba0ddfe7667fd1b246ff5
How researchers see this paper
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In Modeling and Simulation
- Dumitru Băleanu
- Changpin Li
- Weihua Deng
- Mehdi Dehghan
- Roberto Garrappa
- Guo-cheng Wu
- Ali H. Bhrawy
- Om Prakash Agrawal
In Numerical Analysis
- Dumitru Băleanu
- Changpin Li
- Weihua Deng
- Roberto Garrappa
- Mehdi Dehghan
- Shaher Momani
- Neville J. Ford
- Om Prakash Agrawal
Citations in the corpus
- Fractional-order delayed predator–prey systems with Holling type-II functional response (2015, methodology): “Several numerical methods have been proposed to solve the fractional-order differential equations (FODEs) [2,12].”
- Analysis of a fractional order eco‐epidemiological model with prey infection and type 2 functional response (2017, methodology): “We employ Adamas-type predictor corrector method for our fractional order differential equation (FODE).16,17 We first replace the FODE system (2) by the equivalent fractional order integral system S(t) = S(0) + D−𝛼t ( rS[1 − S + I K ] − 𝜆IS ) , I(t) = I(0) + D−𝛼t ( 𝜆IS − mIP a + I − 𝜇I ) , P(t)”
- Numerical investigations on COVID‐19 model through singular and non‐singular fractional operators (2020, methodology): “For simulation of Caputo version, we show a predictor–corrector numerical technique which is improved version of ABM technique suggested by Diethelm et al. in [15–17].”
- A Fractional Order SEIR Model with Density Dependent Death Rate ABSTRACT | FULL TEXT (2011, methodology): “Numerical methods and simulations For the numerical solutions of a system of fractional differential equations, using an Adam’s-type predictor corrector method is appropriate [5].”
- The Müntz-Legendre Tau method for fractional differential equations (2016, methodology): “Several analytical and numerical methods to solve fractional differential equations have been given such as, Adomian decomposition method[12], Homotopy perturbation method[32], Wavelet method[36], Linear B-spline method[25], Product integration method[18], multistep method[17], PredictorCorrector me”