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Journal Articles

Surrogate models for compliant joints in programmable structures

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Accepted Manuscript
Michael Pieber, Zhaowei Zhang, Peter Manzl, Johannes Gerstmayr
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam.
Paper No: CND-24-1314
https://doi.org/10.1115/1.4068579
Published Online: May 2, 2025
View Articletitled, Surrogate models for compliant joints in programmable structures
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Topics: Compliant mechanisms, Errors, Geometry, Hinges, Kinematics, Linkages, Manipulators, Rotation
Journal Articles

An adaptive scheme based on the cubic B-Spline collocation technique for time-fractional singular parabolic problems with semilinearity

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Accepted Manuscript
Bappa Ghosh, Jugal Mohapatra
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam.
Paper No: CND-24-1087
https://doi.org/10.1115/1.4068581
Published Online: May 2, 2025
View Articletitled, An adaptive scheme based on the cubic B-Spline collocation technique for time-fractional singular parabolic problems with semilinearity
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Topics: B-splines, Boundary-value problems, Diffusion (Physics), Errors, Linearization techniques, Robustness
Journal Articles

Linearized Fractional Adams Scheme for Fractional Allen–Cahn Equations

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Sunyoung Bu, Yonghyeon Jeon
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. June 2025, 20(6): 061001.
Paper No: CND-24-1148
https://doi.org/10.1115/1.4068263
Published Online: April 10, 2025
View Articletitled, Linearized Fractional Adams Scheme for Fractional Allen–Cahn Equations
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Topics: Chaos, Errors, Volterra equations
Journal Articles

Numerical Solutions of Fractional Systems Using Bessel Artificial Neural Network Based Integrated Intelligent Computing

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Mariam Sultana, Uroosa Arshad, Ali Akgül, M. Khalid
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. May 2025, 20(5): 051005.
Paper No: CND-23-1333
https://doi.org/10.1115/1.4068236
Published Online: March 28, 2025
View Articletitled, Numerical Solutions of Fractional Systems Using Bessel Artificial Neural Network Based Integrated Intelligent Computing
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Topics: Artificial neural networks, Differential equations, Errors, Polynomials
Journal Articles

Haar Wavelet Method for the Solution of Sixth-Order Boundary Value Problems

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Rohul Amin
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. April 2025, 20(4): 041004.
Paper No: CND-24-1370
https://doi.org/10.1115/1.4067859
Published Online: March 4, 2025
View Articletitled, Haar Wavelet Method for the Solution of Sixth-Order Boundary Value Problems
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Topics: Boundary-value problems, Cyber-physical systems, Errors, Wavelets, Splines
Journal Articles

A Robust Numerical Approach for the Fractional Polio Model by the Genocchi Wavelet Collocation Method

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Manohara G, Kumbinarasaiah S
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. April 2025, 20(4): 041002.
Paper No: CND-24-1188
https://doi.org/10.1115/1.4067857
Published Online: February 28, 2025
View Articletitled, A Robust Numerical Approach for the Fractional Polio Model by the Genocchi Wavelet Collocation Method
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Topics: Wavelets, Errors
Journal Articles

Complex Modal Synthesis Method for Viscoelastic Flexible Multibody System Described by ANCF

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Zuqing Yu, Zhuo Liu, Yu Wang, Qinglong Tian
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. March 2025, 20(3): 031004.
Paper No: CND-24-1235
https://doi.org/10.1115/1.4067522
Published Online: January 17, 2025
View Articletitled, Complex Modal Synthesis Method for Viscoelastic Flexible Multibody System Described by ANCF
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Topics: Damping, Multibody systems, Displacement, Equations of motion, Degrees of freedom, Simulation, Stiffness, Errors
Journal Articles

Dynamical Features and Complete Synchronization of Unified Chaotic Systems With Caputo-Hadamard Fractional Derivative

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Chuntao Yin, Yufei Zhao, Yangquan Chen, Yongjun Shen
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. March 2025, 20(3): 031001.
Paper No: CND-24-1207
https://doi.org/10.1115/1.4067416
Published Online: January 3, 2025
View Articletitled, Dynamical Features and Complete Synchronization of Unified Chaotic Systems With Caputo-Hadamard Fractional Derivative
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Topics: Synchronization, Control equipment, Chaos synchronization, Errors
Journal Articles

A Finite Difference-Based Adams-Type Approach for Numerical Solution of Nonlinear Fractional Differential Equations: A Fractional Lotka–Volterra Model as a Case Study

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Zaid Odibat
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. January 2025, 20(1): 011004.
Paper No: CND-24-1146
https://doi.org/10.1115/1.4066885
Published Online: November 8, 2024
View Articletitled, A Finite Difference-Based Adams-Type Approach for Numerical Solution of Nonlinear Fractional Differential Equations: A Fractional Lotka–Volterra Model as a Case Study
Open the PDF for A Finite Difference-Based Adams-Type Approach for Numerical Solution of Nonlinear Fractional Differential Equations: A Fractional Lotka–Volterra Model as a Case Study in another window
Topics: Approximation, Computer simulation, Differential equations, Errors
Journal Articles

An Efficient Numerical Approach to Solve Fractional Coupled Boussinesq Equations

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Saurabh Kumar, Vikas Gupta
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. December 2024, 19(12): 121002.
Paper No: CND-24-1038
https://doi.org/10.1115/1.4066389
Published Online: September 21, 2024
View Articletitled, An Efficient Numerical Approach to Solve Fractional Coupled Boussinesq Equations
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Topics: Approximation, Errors, Function approximation, Polynomials, Algebra, Iterative methods
Journal Articles

Application of Laminate Theory to Plate Elements Based on Absolute Nodal Coordinate Formulation

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Zhaowei Zhang, Johannes Gerstmayr, Wei Zhang
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. November 2024, 19(11): 111006.
Paper No: CND-24-1005
https://doi.org/10.1115/1.4066328
Published Online: September 13, 2024
View Articletitled, Application of Laminate Theory to Plate Elements Based on Absolute Nodal Coordinate Formulation
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Topics: Composite materials, Deformation, Errors, Laminates, Plates (structures), Shear (Mechanics), Shear deformation, Stiffness, Computer software, Pendulums
Journal Articles

High-Order Approximation to Caputo Derivative on Graded Mesh and Time-Fractional Diffusion Equation for Nonsmooth Solutions

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Shweta Kumari, Abhishek Kumar Singh, Vaibhav Mehandiratta, Mani Mehra
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. October 2024, 19(10): 101001.
Paper No: CND-23-1297
https://doi.org/10.1115/1.4066023
Published Online: August 20, 2024
View Articletitled, High-Order Approximation to Caputo Derivative on Graded Mesh and Time-Fractional Diffusion Equation for Nonsmooth Solutions
Open the PDF for High-Order Approximation to Caputo Derivative on Graded Mesh and Time-Fractional Diffusion Equation for Nonsmooth Solutions in another window
Topics: Approximation, Diffusion (Physics), Errors, Stability, Interpolation
Journal Articles

A Hyperbolic Contact Surface Winkler Contact Force Model for Spherical Clearance Joints

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Huaibo Yao, Lei Liang, Wenlai Ma, Huibo Zhang, Yang Zhao
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. October 2024, 19(10): 101002.
Paper No: CND-23-1315
https://doi.org/10.1115/1.4066024
Published Online: August 20, 2024
View Articletitled, A Hyperbolic Contact Surface Winkler Contact Force Model for Spherical Clearance Joints
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Topics: Clearances (Engineering), Finite element methods, Finite element model, Errors
Journal Articles

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

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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 Articletitled, 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

Overview of Design Considerations for Data-Driven Time-Stepping Schemes Applied to Nonlinear Mechanical Systems

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Tomas Slimak, Andreas Zwölfer, Bojidar Todorov, Daniel J. Rixen
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. July 2024, 19(7): 071012.
Paper No: CND-23-1310
https://doi.org/10.1115/1.4065728
Published Online: June 21, 2024
View Articletitled, Overview of Design Considerations for Data-Driven Time-Stepping Schemes Applied to Nonlinear Mechanical Systems
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Topics: Artificial neural networks, Design, Dynamics (Mechanics), Errors, Pendulums, Physics, System dynamics, Time series, Noise (Sound), Machine learning
Journal Articles

General Extended State Observer-Based Robust Integral of Signum of Error Controller for Active Flutter Suppression for Aeroelastic System

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Balraj Sharma, Pooja Agrawal, Ajay Misra
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. August 2024, 19(8): 081002.
Paper No: CND-23-1347
https://doi.org/10.1115/1.4065569
Published Online: June 7, 2024
View Articletitled, General Extended State Observer-Based Robust Integral of Signum of Error Controller for Active Flutter Suppression for Aeroelastic System
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Topics: Control equipment, Errors, Uncertainty, Airfoils, Flutter (Aerodynamics), Design, Simulation, State estimation
Journal Articles

Fuzzy Uncertainty Analysis of a Fractional Order Human Immunodeficiency Virus Dynamic Model With Type-1 and Interval Type-2 Parameters

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Dhabaleswar Mohapatra, S. Chakraverty
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. August 2024, 19(8): 081001.
Paper No: CND-23-1215
https://doi.org/10.1115/1.4065604
Published Online: June 7, 2024
View Articletitled, Fuzzy Uncertainty Analysis of a Fractional Order Human Immunodeficiency Virus Dynamic Model With Type-1 and Interval Type-2 Parameters
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Topics: Computer simulation, Differential equations, Diseases, Dynamic models, Dynamics (Mechanics), Errors, Matlab, Uncertainty, Uncertainty analysis
Journal Articles

Data-Driven Initial Gap Identification of Piecewise-Linear Systems Using Sparse Regression and Universal Approximation Theorem

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Ryosuke Kanki, Akira Saito
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. June 2024, 19(6): 061003.
Paper No: CND-24-1016
https://doi.org/10.1115/1.4065440
Published Online: May 13, 2024
View Articletitled, Data-Driven Initial Gap Identification of Piecewise-Linear Systems Using Sparse Regression and Universal Approximation Theorem
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Topics: Approximation, Elastic constants, Springs, Theorems (Mathematics), Noise (Sound), Displacement, Errors, Dampers, Stiffness
Journal Articles

Quantized Proportional-Integral Tracking Control for Two-Stage Chemical Reactor Systems

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R. Sakthivel, S. Priyanka, N. Shobana, S. Mohanapriya
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. May 2024, 19(5): 051006.
Paper No: CND-23-1078
https://doi.org/10.1115/1.4065009
Published Online: March 26, 2024
View Articletitled, Quantized Proportional-Integral Tracking Control for Two-Stage Chemical Reactor Systems
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Topics: Control equipment, Delays, Design, Nuclear reactors, Tracking control, Uncertainty, Stability, Errors, Signals
Journal Articles

α-Robust Error Analysis of L2- 1 σ Scheme on Graded Mesh for Time-Fractional Nonlocal Diffusion Equation

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Pari J. Kundaliya
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. May 2024, 19(5): 051004.
Paper No: CND-23-1173
https://doi.org/10.1115/1.4065011
Published Online: March 21, 2024
View Articletitled, α-Robust Error Analysis of L2- 1 σ Scheme on Graded Mesh for Time-Fractional Nonlocal Diffusion Equation
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Topics: Diffusion (Physics), Errors, Error analysis, Theorems (Mathematics)