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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

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

Optimal Control of Mechanical Systems Based on Path-Fitted Variational Integrators

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Xinlei Kong, Shiyu Yu, Huibin Wu
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. March 2024, 19(3): 031002.
Paper No: CND-23-1150
https://doi.org/10.1115/1.4064360
Published Online: January 11, 2024
View Articletitled, Optimal Control of Mechanical Systems Based on Path-Fitted Variational Integrators
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Topics: Optimal control, Optimization, Boundary-value problems
Journal Articles

Modified Atangana–Baleanu Caputo Operator for Time-Fractional Kuramoto–Sivashinsky Equation Via Quintic B -Splines

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Komal Deswal, Renu Choudhary, Devendra Kumar
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. December 2023, 18(12): 121004.
Paper No: CND-22-1323
https://doi.org/10.1115/1.4063554
Published Online: October 23, 2023
View Articletitled, Modified Atangana–Baleanu Caputo Operator for Time-Fractional Kuramoto–Sivashinsky Equation Via Quintic B -Splines
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Topics: Approximation, Errors, Splines, Stability, Boundary-value problems, B-splines
Journal Articles

A Third-Order Two-Stage Numerical Scheme for Fractional Stokes Problems: A Comparative Computational Study

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Yasir Nawaz, Muhammad Shoaib Arif, Kamaleldin Abodayeh
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. October 2022, 17(10): 101004.
Paper No: CND-21-1167
https://doi.org/10.1115/1.4054800
Published Online: June 22, 2022
View Articletitled, A Third-Order Two-Stage Numerical Scheme for Fractional Stokes Problems: A Comparative Computational Study
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Topics: Boundary-value problems, Heat, Mass transfer, Partial differential equations, Stability, Temperature, Errors, Differential equations, Flow (Dynamics), Construction
Journal Articles

Dynamic Response of Some Noncarbon Nanomaterials Using Multiscale Modeling Involving Material and Geometric Nonlinearities

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B. M. Ravi Raj, Sandeep Singh, Kiran D. Mali, Priyansh Singh
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. August 2022, 17(8): 081005.
Paper No: CND-22-1014
https://doi.org/10.1115/1.4054111
Published Online: April 12, 2022
View Articletitled, Dynamic Response of Some Noncarbon Nanomaterials Using Multiscale Modeling Involving Material and Geometric Nonlinearities
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Topics: Boundary-value problems, Damping, Dynamic response, Free vibrations, Multiscale modeling, Nanomaterials, Stress, Transients (Dynamics), Finite element model, Gallium nitride
Journal Articles

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

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Uddhaba Biswal, S. Chakraverty, Bata Krushna Ojha
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. August 2022, 17(8): 081002.
Paper No: CND-21-1360
https://doi.org/10.1115/1.4054154
Published Online: April 1, 2022
View Articletitled, Forward and Inverse Problems Related to Nanofluid Flow Between Nonparallel Planes in Uncertain Environment
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Topics: Flow (Dynamics), Inverse problems, Nanofluids, Nanoparticles, Boundary-value problems, Approximation, Differential equations
Journal Articles

Computing Natural Frequencies and Mode Shapes of an Axially Moving Nonuniform Beam

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Alok Sinha
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. April 2022, 17(4): 041001.
Paper No: CND-21-1197
https://doi.org/10.1115/1.4053271
Published Online: January 13, 2022
View Articletitled, Computing Natural Frequencies and Mode Shapes of an Axially Moving Nonuniform Beam
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Topics: Boundary-value problems, Mode shapes, Partial differential equations, Eigenvalues, Galerkin method, Optimization, Time-varying systems
Journal Articles

Nonlinear Longitudinal Vibrations in Accreting One-Dimensional Nanostructures

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S. A. Surulere, M. Y. Shatalov, A. C. Mkolesia, I. A. Fedotov
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. December 2021, 16(12): 121001.
Paper No: CND-20-1451
https://doi.org/10.1115/1.4052288
Published Online: September 22, 2021
View Articletitled, Nonlinear Longitudinal Vibrations in Accreting One-Dimensional Nanostructures
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Topics: Atoms, Chain, Damping, Nanostructures , Partial differential equations, Vibration, Approximation, Computer simulation, Boundary-value problems
Journal Articles

Time-Optimal Control of Dynamic Systems Regarding Final Constraints

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Philipp Eichmeir, Karin Nachbagauer, Thomas Lauß, Karim Sherif, Wolfgang Steiner
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. March 2021, 16(3): 031003.
Paper No: CND-20-1290
https://doi.org/10.1115/1.4049334
Published Online: January 22, 2021
View Articletitled, Time-Optimal Control of Dynamic Systems Regarding Final Constraints
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Topics: Algorithms, Boundary-value problems, Differential equations, Dynamic systems, Errors, Optimal control, Optimization, Robots, Time optimal control, Pendulums
Journal Articles

The Adjoint Method for Time-Optimal Control Problems

Open Access
Philipp Eichmeir, Thomas Lauß, Stefan Oberpeilsteiner, Karin Nachbagauer, Wolfgang Steiner
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. February 2021, 16(2): 021003.
Paper No: CND-20-1345
https://doi.org/10.1115/1.4048808
Published Online: November 18, 2020
View Articletitled, The Adjoint Method for Time-Optimal Control Problems
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Topics: Time optimal control, Vehicles, Optimal control, Equations of motion, Boundary-value problems, Dynamic systems, Roads
Journal Articles

Nonlinear Vibrations of Embedded Nanoplates Under In-Plane Magnetic Field Based on Nonlocal Elasticity Theory

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Olga Mazur, Jan Awrejcewicz
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. December 2020, 15(12): 121001.
Paper No: CND-20-1101
https://doi.org/10.1115/1.4047390
Published Online: October 23, 2020
View Articletitled, Nonlinear Vibrations of Embedded Nanoplates Under In-Plane Magnetic Field Based on Nonlocal Elasticity Theory
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Topics: Boundary-value problems, Elasticity, Magnetic fields, Stress, Vibration
Journal Articles

A New Approach to Compute Natural Frequencies and Mode Shapes of One-Dimensional Continuous Structures With Arbitrary Nonuniformities

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Alok Sinha
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. November 2020, 15(11): 111004.
Paper No: CND-20-1010
https://doi.org/10.1115/1.4048360
Published Online: September 28, 2020
View Articletitled, A New Approach to Compute Natural Frequencies and Mode Shapes of One-Dimensional Continuous Structures With Arbitrary Nonuniformities
Open the PDF for A New Approach to Compute Natural Frequencies and Mode Shapes of One-Dimensional Continuous Structures With Arbitrary Nonuniformities in another window
Topics: Mode shapes, Vibration, Boundary-value problems
Journal Articles

A New Approach to Transient Vibration Analysis of Two-Dimensional Beam Structures at Medium and High Frequencies

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Bingen Yang, Yichi Zhang
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. September 2020, 15(9): 091006.
Paper No: CND-19-1457
https://doi.org/10.1115/1.4046641
Published Online: July 16, 2020
View Articletitled, A New Approach to Transient Vibration Analysis of Two-Dimensional Beam Structures at Medium and High Frequencies
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Topics: Displacement, Excitation, Laplace transforms, Structural mechanics, Transfer functions, Transient analysis, Transients (Dynamics), Vibration, Vibration analysis, Finite element analysis
Journal Articles

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

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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 Articletitled, 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

Multidimensional Manifold Continuation for Adaptive Boundary-Value Problems

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Harry Dankowicz, Yuqing Wang, Frank Schilder, Michael E. Henderson
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. May 2020, 15(5): 051002.
Paper No: CND-19-1390
https://doi.org/10.1115/1.4046498
Published Online: March 18, 2020
View Articletitled, Multidimensional Manifold Continuation for Adaptive Boundary-Value Problems
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Topics: Boundary-value problems, Manifolds, Dynamic systems, Space, Geometry
Journal Articles

A Development in the Extended Ritz Method for Solving a General Class of Fractional Variational Problems

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Ali Lotfi
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. February 2020, 15(2): 021001.
Paper No: CND-18-1348
https://doi.org/10.1115/1.4045504
Published Online: December 11, 2019
View Articletitled, A Development in the Extended Ritz Method for Solving a General Class of Fractional Variational Problems
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Topics: Approximation, Boundary-value problems, Polynomials, Theorems (Mathematics), Function approximation
Journal Articles

Exact Nonlinear Dynamic Analysis of a Beam With a Nonlinear Vibration Absorber and With Various Boundary Conditions

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Mohammad Bukhari, Oumar Barry
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. January 2020, 15(1): 011003.
Paper No: CND-19-1126
https://doi.org/10.1115/1.4045287
Published Online: November 11, 2019
View Articletitled, Exact Nonlinear Dynamic Analysis of a Beam With a Nonlinear Vibration Absorber and With Various Boundary Conditions
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Topics: Boundary-value problems, Mode shapes, Nonlinear vibration, Vibration, Damping
Journal Articles

Synchronization of Spatiotemporal Irregular Wave Propagation Via Boundary Coupling

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Liangliang Li, Yu Huang, Mingqing Xiao
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. December 2019, 14(12): 121007.
Paper No: CND-18-1017
https://doi.org/10.1115/1.4044923
Published Online: October 18, 2019
View Articletitled, Synchronization of Spatiotemporal Irregular Wave Propagation Via Boundary Coupling
Open the PDF for Synchronization of Spatiotemporal Irregular Wave Propagation Via Boundary Coupling in another window
Topics: Boundary-value problems, Delays, Dynamics (Mechanics), Signals, Spatiotemporal phenomena, Synchronization, Wave equations, Wave propagation, Waves, Computer simulation
Journal Articles

Computational Modeling of Inertial Effects on Electromechanics of the Heart

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Ovais A. Jaffery, Imran Akhtar, S. M. Imran Majeed, Tahir Zaidi
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. October 2019, 14(10): 101006.
Paper No: CND-18-1441
https://doi.org/10.1115/1.4043891
Published Online: September 9, 2019
View Articletitled, Computational Modeling of Inertial Effects on Electromechanics of the Heart
Open the PDF for Computational Modeling of Inertial Effects on Electromechanics of the Heart in another window
Topics: Biological tissues, Boundary-value problems, Cardiac cycle, Computer simulation, Deformation, Fibers, Myocardium, Physiology, Pressure, Inertia (Mechanics)