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Journal Articles

Numerical Solution for a Nonlinear Time-Space Fractional Convection-Diffusion Equation

Merfat Basha, Eyaya Fekadie Anley, Binxiang Dai

J. Comput. Nonlinear Dynam. January 2023, 18(1): 011006.

Paper No: CND-21-1250

DOI: https://doi.org/10.1115/1.4056218

Published Online: November 21, 2022

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Topics: Convection, Diffusion (Physics), Nonlinear systems, Stability, Errors, Approximation

Journal Articles

A Numerical Scheme for Fractional Mixed Convection Flow Over Flat and Oscillatory Plates

Yasir Nawaz, Muhammad Shoaib Arif, Kamaleldin Abodayeh

J. Comput. Nonlinear Dynam. July 2022, 17(7): 071008.

Paper No: CND-21-1353

DOI: https://doi.org/10.1115/1.4054483

Published Online: May 24, 2022

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Topics: Chemical reactions, Errors, Flow (Dynamics), Mixed convection, Partial differential equations, Plates (structures), Stability, Diffusion (Physics), Convection, Scalars

Journal Articles

Numerical Solution of Nonlinear Space–Time Fractional-Order Advection–Reaction–Diffusion Equation

Kushal Dhar Dwivedi, Rajeev, Subir Das, Dumitru Baleanu

J. Comput. Nonlinear Dynam. June 2020, 15(6): 061005.

Paper No: CND-19-1288

DOI: https://doi.org/10.1115/1.4046879

Published Online: April 27, 2020

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Topics: Diffusion (Physics), Polynomials, Spacetime, Error analysis, Boundary-value problems, Approximation, Numerical analysis

Journal Articles

Multistability and Stochastic Phenomena in the Distributed Brusselator Model

Alexander Kolinichenko, Lev Ryashko

J. Comput. Nonlinear Dynam. January 2020, 15(1): 011007.

Paper No: CND-19-1096

DOI: https://doi.org/10.1115/1.4045405

Published Online: November 22, 2019

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Topics: Attractors, Bifurcation, Noise (Sound), Pattern formation, Transients (Dynamics), Oscillations, Diffusion (Physics), Computer simulation

Journal Articles

New Fractional Analytical Study of Three-Dimensional Evolution Equation Equipped With Three Memory Indices

Feras Yousef, Marwan Alquran, Imad Jaradat, Shaher Momani, Dumitru Baleanu

J. Comput. Nonlinear Dynam. November 2019, 14(11): 111008.

Paper No: CND-19-1086

DOI: https://doi.org/10.1115/1.4044585

Published Online: September 23, 2019

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Topics: Diffusion (Physics), Partial differential equations

Journal Articles

A Novel Method for Solving the Bagley-Torvik Equation as Ordinary Differential Equation

Yong Xu, Qixian Liu, Jike Liu, Yanmao Chen

J. Comput. Nonlinear Dynam. August 2019, 14(8): 081005.

Paper No: CND-19-1008

DOI: https://doi.org/10.1115/1.4043525

Published Online: May 13, 2019

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Topics: Boundary-value problems, Differential equations, Separation (Technology), Algorithms, Diffusion (Physics)

Journal Articles

Mode Analysis on Onset of Turing Instability in Time-Fractional Reaction-Subdiffusion Equations by Two-Dimensional Numerical Simulations

Masataka Fukunaga

J. Comput. Nonlinear Dynam. June 2019, 14(6): 061005.

Paper No: CND-18-1453

DOI: https://doi.org/10.1115/1.4043149

Published Online: April 8, 2019

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Topics: Diffusion (Physics), Oscillations, Algorithms

Journal Articles

Numerical Solution of Nonlinear Reaction–Advection–Diffusion Equation

Anup Singh, S. Das, S. H. Ong, H. Jafari

J. Comput. Nonlinear Dynam. April 2019, 14(4): 041003.

Paper No: CND-18-1173

DOI: https://doi.org/10.1115/1.4042687

Published Online: February 15, 2019

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Topics: Approximation, Diffusion (Physics), Stability, Boundary-value problems

Journal Articles

Complex Wave Solutions to Mathematical Biology Models I: Newell–Whitehead–Segel and Zeldovich Equations

Alper Korkmaz

J. Comput. Nonlinear Dynam. August 2018, 13(8): 081004.

Paper No: CND-18-1042

DOI: https://doi.org/10.1115/1.4040411

Published Online: June 18, 2018

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Topics: Biology, Traveling waves, Waves, Diffusion (Physics), Dynamics (Mechanics), Nonlinear dynamical systems

Journal Articles

Delayed Reaction–Diffusion Cellular Neural Networks of Fractional Order: Mittag–Leffler Stability and Synchronization

Ivanka M. Stamova, Stanislav Simeonov

J. Comput. Nonlinear Dynam. January 2018, 13(1): 011015.

Paper No: CND-17-1274

DOI: https://doi.org/10.1115/1.4038290

Published Online: November 17, 2017

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Topics: Artificial neural networks, Diffusion (Physics), Stability, Synchronization, Equilibrium (Physics)

Journal Articles

The Transport Dynamics Induced by Riesz Potential in Modeling Fractional Reaction–Diffusion-Mechanics System

S. Saha Ray

J. Comput. Nonlinear Dynam. February 2018, 13(2): 021005.

Paper No: CND-17-1223

DOI: https://doi.org/10.1115/1.4037418

Published Online: November 1, 2017

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Topics: Diffusion (Physics), Approximation, Modeling, Dynamics (Mechanics)

Journal Articles

Fractional Convection

Changpin Li, Qian Yi, Jürgen Kurths

J. Comput. Nonlinear Dynam. January 2018, 13(1): 011004.

Paper No: CND-16-1572

DOI: https://doi.org/10.1115/1.4037414

Published Online: October 9, 2017

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Topics: Convection, Diffusion (Physics)

Journal Articles

Numerical Simulation of Noninteger Order System in Subdiffusive, Diffusive, and Superdiffusive Scenarios

Kolade M. Owolabi, Abdon Atangana

J. Comput. Nonlinear Dynam. May 2017, 12(3): 031010.

Paper No: CND-16-1219

DOI: https://doi.org/10.1115/1.4035195

Published Online: December 5, 2016

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Topics: Computer simulation, Diffusion (Physics), Dynamics (Mechanics), Mathematical analysis, Spacetime, Stiffness, Stability, Theorems (Mathematics), Differential equations

Journal Articles

Wavelets Galerkin Method for the Fractional Subdiffusion Equation

M. H. Heydari

J. Comput. Nonlinear Dynam. November 2016, 11(6): 061014.

Paper No: CND-15-1114

DOI: https://doi.org/10.1115/1.4034391

Published Online: August 22, 2016

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Topics: Algebra, Algorithms, Boundary-value problems, Diffusion (Physics), Errors, Galerkin method, Linear systems, Wavelets, Numerical analysis

Journal Articles

An Efficient Operational Matrix Technique for Multidimensional Variable-Order Time Fractional Diffusion Equations

M. A. Zaky, S. S. Ezz-Eldien, E. H. Doha, J. A. Tenreiro Machado, A. H. Bhrawy

J. Comput. Nonlinear Dynam. November 2016, 11(6): 061002.

Paper No: CND-15-1388

DOI: https://doi.org/10.1115/1.4033723

Published Online: June 20, 2016

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Topics: Diffusion (Physics), Algorithms, Polynomials

Journal Articles

Different Types of Instabilities and Complex Dynamics in Reaction-Diffusion Systems With Fractional Derivatives

Vasyl Gafiychuk, Bohdan Datsko

J. Comput. Nonlinear Dynam. July 2012, 7(3): 031001.

DOI: https://doi.org/10.1115/1.4005923

Published Online: March 19, 2012

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Topics: Bifurcation, Diffusion (Physics), Dynamics (Mechanics), Eigenvalues, Pattern formation, Stability, Computer simulation, Waves

Journal Articles

Fractional Control With a Smith Predictor

Isabel S. Jesus, J. Tenreiro Machado

J. Comput. Nonlinear Dynam. July 2011, 6(3): 031014.

DOI: https://doi.org/10.1115/1.4002834

Published Online: March 2, 2011

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Topics: Algorithms, Closed loop systems, Control equipment, Optimization, Thermal diffusion, Simulation, Heat, Diffusion (Physics), Dynamic systems

Journal Articles

An Explicit Difference Method for Solving Fractional Diffusion and Diffusion-Wave Equations in the Caputo Form

Joaquín Quintana Murillo, Santos Bravo Yuste

J. Comput. Nonlinear Dynam. April 2011, 6(2): 021014.

DOI: https://doi.org/10.1115/1.4002687

Published Online: November 15, 2010

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Topics: Diffusion (Physics), Stability, Waves, Errors

Journal Articles

Fractional Order Control of Fractional Diffusion Systems Subject to Input Hysteresis

Necati Özdemir, Beyza Billur İskender

J. Comput. Nonlinear Dynam. April 2010, 5(2): 021002.

DOI: https://doi.org/10.1115/1.4000791

Published Online: February 9, 2010

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Topics: Control equipment, Diffusion (Physics), Diffusion processes, Differential equations, Errors, Eigenfunctions

Journal citation

NARROW

Numerical Solution for a Nonlinear Time-Space Fractional Convection-Diffusion Equation

A Numerical Scheme for Fractional Mixed Convection Flow Over Flat and Oscillatory Plates

Numerical Solution of Nonlinear Space–Time Fractional-Order Advection–Reaction–Diffusion Equation

Multistability and Stochastic Phenomena in the Distributed Brusselator Model

New Fractional Analytical Study of Three-Dimensional Evolution Equation Equipped With Three Memory Indices

A Novel Method for Solving the Bagley-Torvik Equation as Ordinary Differential Equation

Mode Analysis on Onset of Turing Instability in Time-Fractional Reaction-Subdiffusion Equations by Two-Dimensional Numerical Simulations

Numerical Solution of Nonlinear Reaction–Advection–Diffusion Equation

Complex Wave Solutions to Mathematical Biology Models I: Newell–Whitehead–Segel and Zeldovich Equations

Delayed Reaction–Diffusion Cellular Neural Networks of Fractional Order: Mittag–Leffler Stability and Synchronization

The Transport Dynamics Induced by Riesz Potential in Modeling Fractional Reaction–Diffusion-Mechanics System

Fractional Convection

Numerical Simulation of Noninteger Order System in Subdiffusive, Diffusive, and Superdiffusive Scenarios

Wavelets Galerkin Method for the Fractional Subdiffusion Equation

An Efficient Operational Matrix Technique for Multidimensional Variable-Order Time Fractional Diffusion Equations

Different Types of Instabilities and Complex Dynamics in Reaction-Diffusion Systems With Fractional Derivatives

Fractional Control With a Smith Predictor

An Explicit Difference Method for Solving Fractional Diffusion and Diffusion-Wave Equations in the Caputo Form

Fractional Order Control of Fractional Diffusion Systems Subject to Input Hysteresis

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