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Journal Articles

Three-Dimensional Space Chaotic Scrolls Generated by Memristive Hopfield Neural Network And Its Application In Robot Path Planning

Accepted Manuscript
Linyang Guo, Runxian Yang, Mingjun Tang, Lixia Wang, Chunlin Xu
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam.
Paper No: CND-24-1153
https://doi.org/10.1115/1.4066729
Published Online: September 30, 2024
View Article titled, Three-Dimensional Space Chaotic Scrolls Generated by Memristive Hopfield Neural Network And Its Application In Robot Path Planning
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Topics: Artificial neural networks, Path planning, Robots, Attractors, Mobile robots, Bifurcation, Computer simulation, Dynamics (Mechanics), Memristors, Numerical analysis
Journal Articles

A Posteriori Error Analysis of Defect Correction Method for Singular Perturbation Problems With Discontinuous Coefficient and Point Source

Aditya Kaushik, Shivani Jain
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. September 2024, 19(9): 091005.
Paper No: CND-24-1044
https://doi.org/10.1115/1.4065900
Published Online: July 25, 2024
View Article titled, A Posteriori Error Analysis of Defect Correction Method for Singular Perturbation Problems With Discontinuous Coefficient and Point Source
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Topics: Error analysis, Errors, Stability, Numerical analysis, Boundary layers
Journal Articles

A New Method for Solving Physical Problems With Nonlinear Phoneme Within Fractional Derivatives With Singular Kernel

Sondos M. Syam, Z. Siri, Sami H. Altoum, Musa Adam Aigo, R. Md. Kasmani
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. April 2024, 19(4): 041001.
Paper No: CND-23-1110
https://doi.org/10.1115/1.4064719
Published Online: February 26, 2024
View Article titled, A New Method for Solving Physical Problems With Nonlinear Phoneme Within Fractional Derivatives With Singular Kernel
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Topics: Errors, Numerical analysis, Polynomials, Theorems (Mathematics), Approximation
Journal Articles

An Efficient Modeling Method for the Simulation of Ball Bearing Dynamics

Shi Chen, Ke He, Xiaojiang Cai, Zhinan Zhang
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. November 2022, 17(11): 111004.
Paper No: CND-22-1115
https://doi.org/10.1115/1.4055314
Published Online: September 7, 2022
View Article titled, An Efficient Modeling Method for the Simulation of Ball Bearing Dynamics
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Topics: Ball bearings, Bearings, Damping, Dynamics (Mechanics), Friction, Simulation, Numerical analysis
Journal Articles

Numerical Methods to Compute the Coriolis Matrix and Christoffel Symbols for Rigid-Body Systems

Sebastian Echeandia, Patrick M. Wensing
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. September 2021, 16(9): 091004.
Paper No: CND-20-1319
https://doi.org/10.1115/1.4051169
Published Online: July 12, 2021
View Article titled, Numerical Methods to Compute the Coriolis Matrix and Christoffel Symbols for Rigid-Body Systems
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Topics: Algorithms, Numerical analysis, Computation
Journal Articles

Nonlinear Vibrations of a Composite Beam in Large Displacements: Analytical, Numerical, and Experimental Approaches

Mattia Utzeri, Marco Sasso, Gianluca Chiappini, Stefano Lenci
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. February 2021, 16(2): 021002.
Paper No: CND-20-1226
https://doi.org/10.1115/1.4048913
Published Online: November 18, 2020
View Article titled, Nonlinear Vibrations of a Composite Beam in Large Displacements: Analytical, Numerical, and Experimental Approaches
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Topics: Cantilever beams, Composite building materials, Damping, Displacement, Experimental methods, Fittings, Numerical analysis, Signals, Vibration, Oscillations
Journal Articles

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

Kushal Dhar Dwivedi, Rajeev, Subir Das, Dumitru Baleanu
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. June 2020, 15(6): 061005.
Paper No: CND-19-1288
https://doi.org/10.1115/1.4046879
Published Online: April 27, 2020
View Article titled, Numerical Solution of Nonlinear Space–Time Fractional-Order Advection–Reaction–Diffusion Equation
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Topics: Diffusion (Physics), Polynomials, Spacetime, Error analysis, Boundary-value problems, Approximation, Numerical analysis
Journal Articles

Design and Numerical Analysis of an Electrostatic Energy Harvester With Impact for Frequency Up-Conversion

R. Lensvelt, R. H. B. Fey, R. M. C. Mestrom, H. Nijmeijer
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. May 2020, 15(5): 051005.
Paper No: CND-19-1338
https://doi.org/10.1115/1.4046664
Published Online: March 30, 2020
View Article titled, Design and Numerical Analysis of an Electrostatic Energy Harvester With Impact for Frequency Up-Conversion
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Topics: Computer simulation, Design, Energy generation, Energy harvesting, Numerical analysis, Resonance, Stiffness, Vibration, Capacitance, Microscale devices
Journal Articles

A Finite Element Modeling Framework for Planar Curved Beam Dynamics Considering Nonlinearities and Contacts

Tianheng Feng, Soovadeep Bakshi, Qifan Gu, Dongmei Chen
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. August 2019, 14(8): 081003.
Paper No: CND-18-1417
https://doi.org/10.1115/1.4043452
Published Online: May 13, 2019
View Article titled, A Finite Element Modeling Framework for Planar Curved Beam Dynamics Considering Nonlinearities and Contacts
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Topics: Buckling, Dynamic analysis, Dynamics (Mechanics), Simulation, Stiffness, Modeling, Numerical analysis, Shapes, Displacement, Finite element analysis
Journal Articles

An Efficient Method for Numerical Solutions of Distributed-Order Fractional Differential Equations

N. Jibenja, B. Yuttanan, M. Razzaghi
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. November 2018, 13(11): 111003.
Paper No: CND-17-1454
https://doi.org/10.1115/1.4040951
Published Online: August 27, 2018
View Article titled, An Efficient Method for Numerical Solutions of Distributed-Order Fractional Differential Equations
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Topics: Approximation, Differential equations, Errors, Numerical analysis, Polynomials, Algebra
Journal Articles

A Spectral Numerical Method for Solving Distributed-Order Fractional Initial Value Problems

M. A. Zaky, E. H. Doha, J. A. Tenreiro Machado
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. October 2018, 13(10): 101007.
Paper No: CND-18-1007
https://doi.org/10.1115/1.4041030
Published Online: August 22, 2018
View Article titled, A Spectral Numerical Method for Solving Distributed-Order Fractional Initial Value Problems
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Topics: Errors, Numerical analysis, Polynomials, Integral equations
Journal Articles

An Accurate Numerical Method for Solving Unsteady Isothermal Flow of a Gas Through a Semi-Infinite Porous Medium

Kourosh Parand, Mehdi Delkhosh
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. January 2018, 13(1): 011007.
Paper No: CND-17-1021
https://doi.org/10.1115/1.4037225
Published Online: October 9, 2017
View Article titled, An Accurate Numerical Method for Solving Unsteady Isothermal Flow of a Gas Through a Semi-Infinite Porous Medium
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Topics: Approximation, Boundary-value problems, Differential equations, Errors, Flow (Dynamics), Numerical analysis, Porous materials, Polynomials, Chemical industry
Journal Articles

A Modified Runge–Kutta Method for Nonlinear Dynamical Systems With Conserved Quantities

Guang-Da Hu
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. September 2017, 12(5): 051026.
Paper No: CND-16-1586
https://doi.org/10.1115/1.4036761
Published Online: July 12, 2017
View Article titled, A Modified Runge–Kutta Method for Nonlinear Dynamical Systems With Conserved Quantities
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Topics: Nonlinear dynamical systems, Runge-Kutta methods, Trajectories (Physics), Numerical analysis
Journal Articles

Green’s Function Iterative Approach for Solving Strongly Nonlinear Oscillators

Marwan Abukhaled
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. September 2017, 12(5): 051021.
Paper No: CND-16-1187
https://doi.org/10.1115/1.4036813
Published Online: June 16, 2017
View Article titled, Green’s Function Iterative Approach for Solving Strongly Nonlinear Oscillators
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Topics: Algorithms, Approximation, Numerical analysis, Oscillations, Runge-Kutta methods, Stability, Vibration
Journal Articles

A New Numerical Method for Solving Nonlinear Fractional Fokker–Planck Differential Equations

BeiBei Guo, Wei Jiang, ChiPing Zhang
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. September 2017, 12(5): 051004.
Paper No: CND-16-1434
https://doi.org/10.1115/1.4035896
Published Online: March 9, 2017
View Article titled, A New Numerical Method for Solving Nonlinear Fractional Fokker–Planck Differential Equations
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Topics: Differential equations, Numerical analysis, Space, Algorithms
Journal Articles

Numerical Analysis of Fractional Neutral Functional Differential Equations Based on Generalized Volterra-Integral Operators

Xiao-Li Ding, Juan J. Nieto
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. May 2017, 12(3): 031018.
Paper No: CND-16-1171
https://doi.org/10.1115/1.4035267
Published Online: January 11, 2017
View Article titled, Numerical Analysis of Fractional Neutral Functional Differential Equations Based on Generalized Volterra-Integral Operators
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Topics: Algorithms, Differential equations, Numerical analysis, Relaxation (Physics)
Journal Articles

Numerical Determination of Pseudobreathers of a Three-Dimensional Spherically Symmetric Wave Equation

Janusz Karkowski
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. May 2017, 12(3): 031004.
Paper No: CND-15-1355
https://doi.org/10.1115/1.4035193
Published Online: December 5, 2016
View Article titled, Numerical Determination of Pseudobreathers of a Three-Dimensional Spherically Symmetric Wave Equation
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Topics: Algorithms, Approximation, Wave equations, Nonlinear waves, Numerical analysis, Oscillations, Vibration
Journal Articles

Wavelets Galerkin Method for the Fractional Subdiffusion Equation

M. H. Heydari
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. November 2016, 11(6): 061014.
Paper No: CND-15-1114
https://doi.org/10.1115/1.4034391
Published Online: August 22, 2016
View Article titled, Wavelets Galerkin Method for the Fractional Subdiffusion Equation
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Topics: Algebra, Algorithms, Boundary-value problems, Diffusion (Physics), Errors, Galerkin method, Linear systems, Wavelets, Numerical analysis
Journal Articles

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

B. Parsa Moghaddam, Sh. Yaghoobi, J. A. Tenreiro Machado
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. November 2016, 11(6): 061001.
Paper No: CND-15-1270
https://doi.org/10.1115/1.4032574
Published Online: June 20, 2016
View Article titled, An Extended Predictor–Corrector Algorithm for Variable-Order Fractional Delay Differential Equations
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Topics: Algorithms, Delay differential equations, Numerical analysis, Time delay systems
Journal Articles

A Numerical Method for Solving Fractional Optimal Control Problems Using Ritz Method

Ali Nemati, Sohrab Ali Yousefi
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. September 2016, 11(5): 051015.
Paper No: CND-15-1006
https://doi.org/10.1115/1.4032694
Published Online: February 25, 2016
View Article titled, A Numerical Method for Solving Fractional Optimal Control Problems Using Ritz Method
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Topics: Approximation, Numerical analysis, Optimal control, Polynomials, Iterative methods, Boundary-value problems, Dynamic systems, Polynomial approximation