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JOURNAL ARTICLE published 2002 in Nonlinear Dynamics

Authors: Kai Diethelm | Neville J. Ford | Alan D. Freed

https://doi.org/10.1023/a:1016592219341 Actions

A universal predictor–corrector algorithm for numerical simulation of generalized fractional differential equations

JOURNAL ARTICLE published August 2021 in Nonlinear Dynamics

Authors: Zaid Odibat

https://doi.org/10.1007/s11071-021-06670-2 Actions

Correction to: A universal predictor–corrector algorithm for numerical simulation of generalized fractional differential equations

JOURNAL ARTICLE published August 2021 in Nonlinear Dynamics

Authors: Zaid Odibat

https://doi.org/10.1007/s11071-021-06729-0 Actions

A Universal Predictor-corrector Algorithm for Numerical Simulation of Generalized Fractional Differential Equations

POSTED CONTENT published

Authors: Zaid Odibat

https://doi.org/10.21203/rs.3.rs-375580/v1 Actions

On the Solution of Nonlinear Fractional-Order Differential Equations Used in the Modeling of Viscoplasticity

BOOK CHAPTER published 1999 in Scientific Computing in Chemical Engineering II

Authors: Kai Diethelm | Alan D. Freed

https://doi.org/10.1007/978-3-642-60185-9_24 Actions

Multi-order fractional differential equations and their numerical solution

JOURNAL ARTICLE published July 2004 in Applied Mathematics and Computation

Authors: Kai Diethelm | Neville J Ford

https://doi.org/10.1016/s0096-3003(03)00739-2 Actions

Fundamental approaches for the numerical handling of fractional operators and time-fractional differential equations

BOOK CHAPTER published 15 April 2019 in Numerical Methods

Authors: Kai Diethelm

https://doi.org/10.1515/9783110571684-001 Actions

Numerical solution of hybrid fuzzy differential equations using improved predictor–corrector method

JOURNAL ARTICLE published October 2012 in Communications in Nonlinear Science and Numerical Simulation

Authors: Hyunsoo Kim | Rathinasamy Sakthivel

https://doi.org/10.1016/j.cnsns.2012.02.003 Actions

Fast predictor-corrector approach for the tempered fractional differential equations

JOURNAL ARTICLE published March 2017 in Numerical Algorithms

Research funded by National Natural Science Foundation of China (11471150)

Authors: Jingwei Deng | Lijing Zhao | Yujiang Wu

https://doi.org/10.1007/s11075-016-0169-9 Actions

4 Predictor-Corrector Methods

BOOK CHAPTER published 1971 in Mathematics in Science and Engineering

https://doi.org/10.1016/s0076-5392(08)63011-8 Actions

An efficient parallel algorithm for the numerical solution of fractional differential equations

JOURNAL ARTICLE published September 2011 in Fractional Calculus and Applied Analysis

Authors: Kai Diethelm

https://doi.org/10.2478/s13540-011-0029-1 Actions

Numerical Stability of a One-Evaluation Predictor-Corrector Algorithm for Numerical Solution of Ordinary Differential Equations

JOURNAL ARTICLE published July 1968 in Mathematics of Computation

Authors: R. W. Klopfenstein | R. S. Millman

https://doi.org/10.2307/2004532 Actions

An Extended Predictor–Corrector Algorithm for Variable-Order Fractional Delay Differential Equations

JOURNAL ARTICLE published 1 November 2016 in Journal of Computational and Nonlinear Dynamics

Authors: B. Parsa Moghaddam | Sh. Yaghoobi | J. A. Tenreiro Machado

https://doi.org/10.1115/1.4032574 Actions

Detailed Error Analysis for a Fractional Adams Method

JOURNAL ARTICLE published May 2004 in Numerical Algorithms

Authors: Kai Diethelm | Neville J. Ford | Alan D. Freed

https://doi.org/10.1023/b:numa.0000027736.85078.be Actions

Numerical stability of a one-evaluation predictor-corrector algorithm for numerical solution of ordinary differential equations

JOURNAL ARTICLE published 1968 in Mathematics of Computation

Authors: R. W. Klopfenstein | R. S. Millman

https://doi.org/10.1090/s0025-5718-1968-0226865-4 Actions

The numerical solution of neutral functional differential equations by Adams predictor- corrector methods

JOURNAL ARTICLE published December 1991 in Applied Numerical Mathematics

Authors: Z. Jackiewicz | E. Lo

https://doi.org/10.1016/0168-9274(91)90110-l Actions

Analysis of Fractional Differential Equations

JOURNAL ARTICLE published January 2002 in Journal of Mathematical Analysis and Applications

Authors: Kai Diethelm | Neville J. Ford

https://doi.org/10.1006/jmaa.2000.7194 Actions

Multi-term fractional differential equations, multi-order fractional differential systems and their numerical solution

JOURNAL ARTICLE published 1 October 2008 in Journal Européen des Systèmes Automatisés

Authors: Kai Diethelm

https://doi.org/10.3166/jesa.42.665-676 Actions

Non-equidistant partition predictor–corrector method for fractional differential equations with exponential memory

JOURNAL ARTICLE published 30 June 2023 in International Journal of Nonlinear Sciences and Numerical Simulation

Research funded by Innovation Team Project of Department of Education of Sichuan Province (18TD0033) | National Natural Science Foundation of China (62076141)

Authors: Hua Kong | Guo-Cheng Wu | Hui Fu | Kai-Teng Wu

https://doi.org/10.1515/ijnsns-2021-0232 Actions

Stable fractional Chebyshev differentiation matrix for the numerical solution of multi-order fractional differential equations

JOURNAL ARTICLE published October 2017 in Nonlinear Dynamics

Authors: Arman Dabiri | Eric A. Butcher

https://doi.org/10.1007/s11071-017-3654-3 Actions
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