A Predictor–Corrector Compact Difference Scheme for a Nonlinear Fractional Differential Equation

JOURNAL ARTICLE published 30 June 2023 in Fractal and Fractional

Research funded by National Natural Science Foundation of China Mathematics Tianyuan Foundation (12126307,12126321) | Scientific Research Fund of Hunan Provincial Education Department (21B0550) | Hunan Provincial Natural Science Foundation of China (2022JJ50083)

Authors: Xiaoxuan Jiang | Jiawei Wang | Wan Wang | Haixiang Zhang

Numerical solution of hybrid fuzzy differential equations by predictor-corrector method

JOURNAL ARTICLE published January 2009 in International Journal of Computer Mathematics

Authors: P. Prakash | V. Kalaiselvi

Dynamics of generalized Caputo type delay fractional differential equations using a modified Predictor-Corrector scheme

JOURNAL ARTICLE published 1 December 2021 in Physica Scripta

Authors: Zaid Odibat | Vedat Suat Erturk | Pushpendra Kumar | V Govindaraj

Finite element methods for fractional differential equations

BOOK CHAPTER published March 2013 in Recent Advances in Applied Nonlinear Dynamics with Numerical Analysis

Authors: Changpin Li | Fanhai Zeng

Numerical Solution of Fuzzy Fractional Differential Equations

BOOK CHAPTER published 2021 in Fuzzy Fractional Differential Operators and Equations

Authors: Tofigh Allahviranloo

An approximate solution method for ordinary fractional differential equations with the Riemann–Liouville fractional derivatives

JOURNAL ARTICLE published February 2014 in Communications in Nonlinear Science and Numerical Simulation

Authors: S.Yu. Lukashchuk

Numerical solution of nonlinear fractional-order Volterra integro-differential equations by SCW

JOURNAL ARTICLE published May 2013 in Communications in Nonlinear Science and Numerical Simulation

Authors: Li Zhu | Qibin Fan

Solving nonlinear fractional partial differential equations using the homotopy analysis method

JOURNAL ARTICLE published March 2010 in Numerical Methods for Partial Differential Equations

Authors: Mehdi Dehghan | Jalil Manafian | Abbas Saadatmandi

Fast Solution Methods for Fractional Differential Equations in the Modeling of Viscoelastic Materials

PROCEEDINGS ARTICLE published 24 November 2021 in 2021 9th International Conference on Systems and Control (ICSC)

Authors: Kai Diethelm

8. Numerical solutions of nonlinear fractional-order differential equations

BOOK CHAPTER published 26 June 2017 in Fractional-Order Control Systems

Numerical solution of nonlinear partial quadratic integro‐differential equations of fractional order via hybrid of block‐pulse and parabolic functions

JOURNAL ARTICLE published May 2019 in Numerical Methods for Partial Differential Equations

Authors: Farshid Mirzaee | Sahar Alipour

Numerical Solution of Fractional Differential Equations by the Haar Wavelet Method

BOOK CHAPTER published 12 January 2018 in Wavelet Methods for Solving Partial Differential Equations and Fractional Differential Equations

Authors: Santanu Saha Ray | Arun Kumar Gupta

Numerical Solution of Fractional Differential Equations by Using New Wavelet Operational Matrix of General Order

BOOK CHAPTER published 2020 in Nonlinear Differential Equations in Physics

Authors: Santanu Saha Ray

Predictor—Corrector Methods

BOOK CHAPTER published 1992 in Handbook of Differential Equations

Authors: Daniel Zwillinger

Numerical Scheme for the Solution of Fractional Differential Equations of Order Greater Than One

JOURNAL ARTICLE published 1 April 2006 in Journal of Computational and Nonlinear Dynamics

Authors: Pankaj Kumar | Om P. Agrawal

Numerical solution of incompressible Navier-Stokes equations using a fractional-step approach

PROCEEDINGS ARTICLE published 17 June 1996 in Fluid Dynamics Conference

Authors: Cetin Kiris | Dochan Kwak

Erratum to “Numerical solution of fuzzy differential equations by predictor–corrector method” [Inform. Sci. 177 (7) (2007) 1633–1647]

JOURNAL ARTICLE published March 2008 in Information Sciences

Authors: T. Allahviranloo | N. Ahmady | E. Ahmady

A Newton interpolation based predictor–corrector numerical method for fractional differential equations with an activator–inhibitor case study

JOURNAL ARTICLE published September 2021 in Mathematics and Computers in Simulation

Authors: Redouane Douaifia | Samir Bendoukha | Salem Abdelmalek

Second-order predictor-corrector schemes for nonlinear distributed-order space-fractional differential equations with non-smooth initial data

JOURNAL ARTICLE published 2 September 2019 in International Journal of Computer Mathematics

Authors: T. A. Biala

Numerical Solution of Fractional-order One-dimensional Differential Equations by using Laplace Transform with the Residual Power Series Method

BOOK CHAPTER published 8 December 2023 in Advance Numerical Techniques to Solve Linear and Nonlinear Differential Equations

Authors: Rajendra Pant | Geeta Arora | Manik Rakhra | Masoumeh Khademi