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Journal Articles

Numerical Simulation for Generalized Time-Fractional Burgers' Equation With Three Distinct Linearization Schemes

Reetika Chawla, Komal Deswal, Devendra Kumar, Dumitru Baleanu

J. Comput. Nonlinear Dynam. April 2023, 18(4): 041001.

Paper No: CND-22-1176

DOI: https://doi.org/10.1115/1.4056857

Published Online: March 2, 2023

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Topics: Computer simulation, Errors, Stability, Approximation

Journal Articles

Variational Principles for the Trajectory Tracking Control of Underactuated Mechanical Systems

Bálint Bodor, László Bencsik

J. Comput. Nonlinear Dynam.

Paper No: CND-22-1183

DOI: https://doi.org/10.1115/1.4056593

Published Online: January 3, 2023

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Topics: Tracking control, Trajectories (Physics), Variational principles, Optimal control, Approximation, Compliant mechanisms, Degrees of freedom, Dynamics (Mechanics), Manipulators, Optimization

Journal Articles

The Homotopy Analysis Method for Solving Differential Equations With Generalized Caputo-Type Fractional Derivatives

Wafia Fafa, Zaid Odibat, Nabil Shawagfeh

J. Comput. Nonlinear Dynam. February 2023, 18(2): 021004.

Paper No: CND-22-1127

DOI: https://doi.org/10.1115/1.4056392

Published Online: December 19, 2022

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Topics: Differential equations, Approximation

Journal Articles

Effective Optimized Decomposition Algorithms for Solving Nonlinear Fractional Differential Equations

Marwa Laoubi, Zaid Odibat, Banan Maayah

J. Comput. Nonlinear Dynam. February 2023, 18(2): 021001.

Paper No: CND-21-1340

DOI: https://doi.org/10.1115/1.4056254

Published Online: December 9, 2022

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Topics: Algorithms, Differential equations, Approximation, Partial differential equations

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

Stability of a Cross-Flow Heat-Exchanger Tube With Asymmetric Supports

Adireddi Balaji, Aswanth Thani, Saurabh Biswas, C. P. Vyasarayani

J. Comput. Nonlinear Dynam. November 2022, 17(11): 111009.

Paper No: CND-21-1346

DOI: https://doi.org/10.1115/1.4055594

Published Online: September 26, 2022

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Topics: Cross-flow, Heat exchangers, Stability, Approximation, Cladding systems (Building), Stiffness

Journal Articles

Computationally Efficient Simulations of Stochastically Perturbed Nonlinear Dynamical Systems

Thomas Breunung, Balakumar Balachandran

J. Comput. Nonlinear Dynam. September 2022, 17(9): 091008.

Paper No: CND-22-1070

DOI: https://doi.org/10.1115/1.4054932

Published Online: July 28, 2022

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Topics: Approximation, Noise (Sound), Simulation, Probability, Density

Journal Articles

Computational Study of a Local Fractional Tricomi Equation Occurring in Fractal Transonic Flow

Sarvesh Dubey, Ved Prakash Dubey, Jagdev Singh, Ahmed M. Alshehri, Devendra Kumar

J. Comput. Nonlinear Dynam. August 2022, 17(8): 081006.

Paper No: CND-21-1261

DOI: https://doi.org/10.1115/1.4054482

Published Online: June 7, 2022

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Topics: Computer simulation, Fractals, Transonic flow, Approximation

Journal Articles

Forward and Inverse Problems Related to Nanofluid Flow Between Nonparallel Planes in Uncertain Environment

Uddhaba Biswal, S. Chakraverty, Bata Krushna Ojha

J. Comput. Nonlinear Dynam. August 2022, 17(8): 081002.

Paper No: CND-21-1360

DOI: https://doi.org/10.1115/1.4054154

Published Online: April 1, 2022

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Topics: Flow (Dynamics), Inverse problems, Nanofluids, Nanoparticles, Boundary-value problems, Approximation, Differential equations

Journal Articles

From Eikonal to Antieikonal Approximations: Competition of Scales in the Framework of Schrödinger and Classical Wave Equation

Luis Vázquez, M. Pilar Velasco, Dumitru Baleanu, J. Luis Vázquez-Poletti, Salvador Jiménez

J. Comput. Nonlinear Dynam. August 2022, 17(8): 080801.

Paper No: CND-21-1355

DOI: https://doi.org/10.1115/1.4054153

Published Online: April 1, 2022

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Topics: Approximation, Schrödinger equation, Wave equations, Fractals, Maxwell equations, Cloud computing, Electromagnetic wave propagation, Wavelength

Journal Articles

Efficient Analysis of Stationary Dynamics of Piecewise-Linear Nonlinear Systems Modeled Using General State-Space Representations

Meng-Hsuan Tien, Ming-Fu Lu, Kiran D'Souza

J. Comput. Nonlinear Dynam. August 2022, 17(8): 081001.

Paper No: CND-21-1354

DOI: https://doi.org/10.1115/1.4054152

Published Online: April 1, 2022

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Topics: Analog circuits, Dynamics (Mechanics), Nonlinear systems, Steady state, Circuits, Optimization, Eigenvalues, Approximation

Journal Articles

Numerical and Experimental Investigations on Cross-Sensitivity Characteristics of Instrumented Wheelset Associated With Longitudinal Force and Lateral Contact Position

Takatoshi Hondo, Takayuki Tanaka, Shoya Kuniyuki, Mitsugi Suzuki

J. Comput. Nonlinear Dynam. May 2022, 17(5): 051011.

Paper No: CND-21-1301

DOI: https://doi.org/10.1115/1.4053506

Published Online: March 15, 2022

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Topics: Approximation, Electric bridges, Finite element methods, Stress, Wheels, Wheelsets, Strain gages

Journal Articles

Implicit Co-Simulation and Solver-Coupling: Efficient Calculation of Interface-Jacobian and Coupling Sensitivities/Gradients

J. Kraft, S. Klimmek, T. Meyer, B. Schweizer

J. Comput. Nonlinear Dynam. April 2022, 17(4): 041004.

Paper No: CND-21-1063

DOI: https://doi.org/10.1115/1.4051823

Published Online: February 14, 2022

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Topics: Approximation, Simulation

Journal Articles

Milling Processes With Active Damping: Modeling and Stability

David Lehotzky, Iker Mancisidor, Jokin Munoa, Zoltan Dombovari

J. Comput. Nonlinear Dynam. February 2022, 17(2): 021005.

Paper No: CND-21-1047

DOI: https://doi.org/10.1115/1.4052723

Published Online: December 3, 2021

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Topics: Accelerometers, Actuators, Feedback, Filters, Milling, Modeling, Stability, Approximation, Filtration, Dynamics (Mechanics)

Journal Articles

Analytical Approximations for Dry Friction-Induced Stick–Slip and Pure-Slip Vibration Amplitudes of a Self-Excited Smooth and Discontinuous Oscillator

Junfeng Yan, Zehao Huang

J. Comput. Nonlinear Dynam. March 2022, 17(3): 031001.

Paper No: CND-21-1011

DOI: https://doi.org/10.1115/1.4052873

Published Online: December 3, 2021

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Topics: Approximation, Belts, Friction, Oscillations, Stick-slip, Vibration, Displacement

Journal Articles

Change of the Most Probable Escape Path in a Fast-Slow Insect Outbreak System Under Different Noise Amplitude Ratios

Qing Yu, Xianbin Liu

J. Comput. Nonlinear Dynam. January 2022, 17(1): 011004.

Paper No: CND-21-1084

DOI: https://doi.org/10.1115/1.4052724

Published Online: November 9, 2021

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Topics: Approximation, Manifolds, Noise (Sound), Relaxation (Physics)

Journal Articles

Nonlinear Longitudinal Vibrations in Accreting One-Dimensional Nanostructures

S. A. Surulere, M. Y. Shatalov, A. C. Mkolesia, I. A. Fedotov

J. Comput. Nonlinear Dynam. December 2021, 16(12): 121001.

Paper No: CND-20-1451

DOI: https://doi.org/10.1115/1.4052288

Published Online: September 22, 2021

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Topics: Atoms, Chain, Damping, Nanostructures , Partial differential equations, Vibration, Approximation, Computer simulation, Boundary-value problems

Journal Articles

Anomalous Nonlinear Dynamics Behavior of Fractional Viscoelastic Beams

Jorge L. Suzuki, Ehsan Kharazmi, Pegah Varghaei, Maryam Naghibolhosseini, Mohsen Zayernouri

J. Comput. Nonlinear Dynam. November 2021, 16(11): 111005.

Paper No: CND-20-1412

DOI: https://doi.org/10.1115/1.4052286

Published Online: September 22, 2021

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Topics: Approximation, Cantilever beams, Dynamics (Mechanics), Equations of motion, Excitation, Free vibrations, Hamilton's principle, Nonlinear dynamics, Nonlinear systems, Relaxation (Physics)

Journal Articles

Nonlinear Measure for Nonlinear Dynamic Processes Using Convergence Area: Typical Case Studies

Joanofarc Xavier, S. K. Patnaik, Rames C. Panda

J. Comput. Nonlinear Dynam. May 2021, 16(5): 051002.

Paper No: CND-20-1444

DOI: https://doi.org/10.1115/1.4050553

Published Online: April 7, 2021

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Topics: Dynamics (Mechanics), Nonlinear dynamics, Simulation, Stability, Steady state, Bioreactors, Approximation, Chemical processes, Dynamic stability

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 citation

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Manuscript

Numerical Simulation for Generalized Time-Fractional Burgers' Equation With Three Distinct Linearization Schemes

Variational Principles for the Trajectory Tracking Control of Underactuated Mechanical Systems

The Homotopy Analysis Method for Solving Differential Equations With Generalized Caputo-Type Fractional Derivatives

Effective Optimized Decomposition Algorithms for Solving Nonlinear Fractional Differential Equations

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

Stability of a Cross-Flow Heat-Exchanger Tube With Asymmetric Supports

Computationally Efficient Simulations of Stochastically Perturbed Nonlinear Dynamical Systems

Computational Study of a Local Fractional Tricomi Equation Occurring in Fractal Transonic Flow

Forward and Inverse Problems Related to Nanofluid Flow Between Nonparallel Planes in Uncertain Environment

From Eikonal to Antieikonal Approximations: Competition of Scales in the Framework of Schrödinger and Classical Wave Equation

Efficient Analysis of Stationary Dynamics of Piecewise-Linear Nonlinear Systems Modeled Using General State-Space Representations

Numerical and Experimental Investigations on Cross-Sensitivity Characteristics of Instrumented Wheelset Associated With Longitudinal Force and Lateral Contact Position

Implicit Co-Simulation and Solver-Coupling: Efficient Calculation of Interface-Jacobian and Coupling Sensitivities/Gradients

Milling Processes With Active Damping: Modeling and Stability

Analytical Approximations for Dry Friction-Induced Stick–Slip and Pure-Slip Vibration Amplitudes of a Self-Excited Smooth and Discontinuous Oscillator

Change of the Most Probable Escape Path in a Fast-Slow Insect Outbreak System Under Different Noise Amplitude Ratios

Nonlinear Longitudinal Vibrations in Accreting One-Dimensional Nanostructures

Anomalous Nonlinear Dynamics Behavior of Fractional Viscoelastic Beams

Nonlinear Measure for Nonlinear Dynamic Processes Using Convergence Area: Typical Case Studies

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

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