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Journal Articles

An Efficient Numerical Approach to Solve Fractional Coupled Boussinesq Equations

Saurabh Kumar, Vikas Gupta

Publisher: ASME

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 Article titled, An Efficient Numerical Approach to Solve Fractional Coupled Boussinesq Equations

Topics: Approximation, Errors, Function approximation, Polynomials, Algebra, Iterative methods

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

Publisher: ASME

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

Topics: Errors, Numerical analysis, Polynomials, Theorems (Mathematics), Approximation

Journal Articles

Numerical Treatment for the Solution of Stochastic Fractional Differential Equation Using Lerch Operational Matrix Method

P. K. Singh, S. Saha Ray

Publisher: ASME

J. Comput. Nonlinear Dynam. January 2024, 19(1): 011004.

Paper No: CND-22-1311

https://doi.org/10.1115/1.4063885

Published Online: November 15, 2023

View Article titled, Numerical Treatment for the Solution of Stochastic Fractional Differential Equation Using Lerch Operational Matrix Method

Topics: Differential equations, Polynomials, Algebra, Error analysis

Journal Articles

On the Inverse Problem of Time-Dependent Coefficient in a Time Fractional Diffusion Problem by Newly Defined Monic Laquerre Wavelets

Mine A. Bayrak, Ali Demir

Publisher: ASME

J. Comput. Nonlinear Dynam. November 2023, 18(11): 111003.

Paper No: CND-23-1089

https://doi.org/10.1115/1.4063337

Published Online: September 14, 2023

View Article titled, On the Inverse Problem of Time-Dependent Coefficient in a Time Fractional Diffusion Problem by Newly Defined Monic Laquerre Wavelets

Topics: Diffusion (Physics), Inverse problems, Wavelets, Polynomials, Algorithms

Journal Articles

A Python Implementation of a Robust Multi-Harmonic Balance With Numerical Continuation and Automatic Differentiation for Structural Dynamics

Tiago S. Martins, Francesco Trainotti, Andreas Zwölfer, Frederico Afonso

Publisher: ASME

J. Comput. Nonlinear Dynam. July 2023, 18(7): 071008.

Paper No: CND-22-1326

https://doi.org/10.1115/1.4062424

Published Online: May 25, 2023

View Article titled, A Python Implementation of a Robust Multi-Harmonic Balance With Numerical Continuation and Automatic Differentiation for Structural Dynamics

Topics: Cycles, Dry friction, Dynamics (Mechanics), Errors, Frequency response, Parametrization, Polynomials, Structural dynamics, Steady state, Springs

Journal Articles

A p n h -Adaptive Refinement Procedure for Numerical Optimal Control Problems

Lorenzo Bartali, Marco Gabiccini, Massimo Guiggiani

Publisher: ASME

J. Comput. Nonlinear Dynam. August 2023, 18(8): 081001.

Paper No: CND-22-1214

https://doi.org/10.1115/1.4062227

Published Online: May 4, 2023

View Article titled, A p n h -Adaptive Refinement Procedure for Numerical Optimal Control Problems

Topics: Algorithms, Errors, Nonlinear programming, Optimal control, Polynomials

Journal Articles

Identification of Asymmetric Bouc–Wen Hysteresis Under Intense Noise by Only Measuring Acceleration

Qinghua Liu, Junyi Cao

Publisher: ASME

J. Comput. Nonlinear Dynam. August 2023, 18(8): 081009.

Paper No: CND-22-1299

https://doi.org/10.1115/1.4062301

Published Online: May 4, 2023

View Article titled, Identification of Asymmetric Bouc–Wen Hysteresis Under Intense Noise by Only Measuring Acceleration

Topics: Displacement, Noise (Sound), Optimization, Physics, Polynomials, Limit cycles, Accelerometers, Computer simulation, Vibration isolation, Fittings

Journal Articles

Recent Advances in the Absolute Nodal Coordinate Formulation: Literature Review From 2012 to 2020

Keisuke Otsuka, Kanjuro Makihara, Hiroyuki Sugiyama

Publisher: ASME

J. Comput. Nonlinear Dynam. August 2022, 17(8): 080803.

Paper No: CND-22-1023

https://doi.org/10.1115/1.4054113

Published Online: April 12, 2022

View Article titled, Recent Advances in the Absolute Nodal Coordinate Formulation: Literature Review From 2012 to 2020

Topics: Cables, Computer-aided design, Deformation, Engineering simulation, Finite element analysis, Geometry, Modeling, Shear (Mechanics), Shells, Simulation

Journal Articles

A Polynomial-Chaos-Based Multifidelity Approach to the Efficient Uncertainty Quantification of Online Simulations of Automotive Propulsion Systems

Hang Yang, Alex Gorodetsky, Yuji Fujii, K. W. Wang

Publisher: ASME

J. Comput. Nonlinear Dynam. May 2022, 17(5): 051012.

Paper No: CND-21-1307

https://doi.org/10.1115/1.4053559

Published Online: March 15, 2022

View Article titled, A Polynomial-Chaos-Based Multifidelity Approach to the Efficient Uncertainty Quantification of Online Simulations of Automotive Propulsion Systems

Topics: Chaos, Polynomials, Propulsion systems, Simulation, Torque, Uncertainty quantification, Engineering simulation, Uncertainty, Vehicles

Journal Articles

Singular and Nonsingular Kernels Aspect of Time-Fractional Coupled Spring-Mass System

Rajarama Mohan Jena, Snehashish Chakraverty

Publisher: ASME

J. Comput. Nonlinear Dynam. February 2022, 17(2): 021001.

Paper No: CND-21-1192

https://doi.org/10.1115/1.4052788

Published Online: November 17, 2021

View Article titled, Singular and Nonsingular Kernels Aspect of Time-Fractional Coupled Spring-Mass System

Topics: Differential equations, Interpolation, Polynomials, Springs, Stability, Error analysis

Journal Articles

Uncertainty Quantification of Differential Algebraic Equations Using Polynomial Chaos

Premjit Saha, Tarunraj Singh, Gary Dargush

Publisher: ASME

J. Comput. Nonlinear Dynam. October 2021, 16(10): 101005.

Paper No: CND-21-1099

https://doi.org/10.1115/1.4051821

Published Online: August 11, 2021

View Article titled, Uncertainty Quantification of Differential Algebraic Equations Using Polynomial Chaos

Topics: Chaos, Differential algebraic equations, Polynomials, Pendulums, Algebra, Circuits, Uncertainty quantification

Journal Articles

Solving Time Fractional Schrödinger Equation in the Sense of Local Fractional Derivative

Mine Aylin Bayrak, Ali Demir

Publisher: ASME

J. Comput. Nonlinear Dynam. August 2021, 16(8): 081001.

Paper No: CND-20-1133

https://doi.org/10.1115/1.4051284

Published Online: June 16, 2021

View Article titled, Solving Time Fractional Schrödinger Equation in the Sense of Local Fractional Derivative

Topics: Differential equations, Polynomials, Schrödinger equation

Journal Articles

A Numerical Simulation on the Effect of Vaccination and Treatments for the Fractional Hepatitis B Model

Haile Habenom, D. L. Suthar, D. Baleanu, S. D. Purohit

Publisher: ASME

J. Comput. Nonlinear Dynam. January 2021, 16(1): 011004.

Paper No: CND-20-1199

https://doi.org/10.1115/1.4048475

Published Online: October 29, 2020

View Article titled, A Numerical Simulation on the Effect of Vaccination and Treatments for the Fractional Hepatitis B Model

Topics: Computer simulation, Differential equations, Diseases, Dynamics (Mechanics), Equilibrium (Physics), Polynomials, Stability, Nonlinear equations, Mathematical analysis, Matlab

Journal Articles

Energy Harvesting for System of Coupled Oscillators Under External Excitation in the Vicinity of Resonance 1:1

Leonardo Acho Zuppa, Jan Awrejcewicz, Nataliya Losyeva, Volodymyr Puzyrov, Nina Savchenko

Publisher: ASME

J. Comput. Nonlinear Dynam. December 2020, 15(12): 121005.

Paper No: CND-20-1092

https://doi.org/10.1115/1.4047555

Published Online: October 23, 2020

View Article titled, Energy Harvesting for System of Coupled Oscillators Under External Excitation in the Vicinity of Resonance 1:1

Topics: Energy harvesting, Excitation, Oscillations, Polynomials, Resonance, Vibration, Damping, Degrees of freedom, Vibration absorbers, Optimization

Journal Articles

Accounting for Quasi-Static Coupling in Nonlinear Dynamic Reduced-Order Models

Evangelia Nicolaidou, Venkata R. Melanthuru, Thomas L. Hill, Simon A. Neild

Publisher: ASME

J. Comput. Nonlinear Dynam. July 2020, 15(7): 071002.

Paper No: CND-19-1396

https://doi.org/10.1115/1.4046897

Published Online: April 29, 2020

View Article titled, Accounting for Quasi-Static Coupling in Nonlinear Dynamic Reduced-Order Models

Topics: Accounting, Computer software, Displacement, Dynamics (Mechanics), Equations of motion, Errors, Finite element model, Harmonic oscillators, Modeling, Robustness

Journal Articles

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

Kushal Dhar Dwivedi, Rajeev, Subir Das, Dumitru Baleanu

Publisher: ASME

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

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

Journal Articles

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

Ali Lotfi

Publisher: ASME

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

Topics: Approximation, Boundary-value problems, Polynomials, Theorems (Mathematics), Function approximation

Journal Articles

Automating the Derivation of the Equations of Motion of a Multibody Dynamic System With Uncertainty Using Polynomial Chaos Theory and Variational Work

Paul S. Ryan, Sarah C. Baxter, Philip A. Voglewede

Publisher: ASME

J. Comput. Nonlinear Dynam. January 2020, 15(1): 011004.

Paper No: CND-19-1194

https://doi.org/10.1115/1.4045239

Published Online: November 11, 2019

View Article titled, Automating the Derivation of the Equations of Motion of a Multibody Dynamic System With Uncertainty Using Polynomial Chaos Theory and Variational Work

Topics: Equations of motion, Polynomials, Uncertainty, Chaos theory, Springs, Dampers, Algorithms

Journal Articles

Calculating Positive Invariant Sets: A Quantifier Elimination Approach

Klaus Röbenack, Rick Voßwinkel, Hendrik Richter

Publisher: ASME

J. Comput. Nonlinear Dynam. July 2019, 14(7): 074502.

Paper No: CND-18-1506

https://doi.org/10.1115/1.4043380

Published Online: May 13, 2019

View Article titled, Calculating Positive Invariant Sets: A Quantifier Elimination Approach

Topics: Algebra, Attractors, Geometry, Polynomials

Journal Articles

Solving Two-Dimensional Variable-Order Fractional Optimal Control Problems With Transcendental Bernstein Series

Hossein Hassani, Zakieh Avazzadeh, José António Tenreiro Machado

Publisher: ASME

J. Comput. Nonlinear Dynam. June 2019, 14(6): 061001.

Paper No: CND-18-1182

https://doi.org/10.1115/1.4042997

Published Online: April 8, 2019

View Article titled, Solving Two-Dimensional Variable-Order Fractional Optimal Control Problems With Transcendental Bernstein Series

Topics: Optimal control, Optimization, Polynomials, Approximation, Dynamic systems

Journal citation

NARROW

An Efficient Numerical Approach to Solve Fractional Coupled Boussinesq Equations

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

Numerical Treatment for the Solution of Stochastic Fractional Differential Equation Using Lerch Operational Matrix Method

On the Inverse Problem of Time-Dependent Coefficient in a Time Fractional Diffusion Problem by Newly Defined Monic Laquerre Wavelets

A Python Implementation of a Robust Multi-Harmonic Balance With Numerical Continuation and Automatic Differentiation for Structural Dynamics

A p n h -Adaptive Refinement Procedure for Numerical Optimal Control Problems

Identification of Asymmetric Bouc–Wen Hysteresis Under Intense Noise by Only Measuring Acceleration

Recent Advances in the Absolute Nodal Coordinate Formulation: Literature Review From 2012 to 2020

A Polynomial-Chaos-Based Multifidelity Approach to the Efficient Uncertainty Quantification of Online Simulations of Automotive Propulsion Systems

Singular and Nonsingular Kernels Aspect of Time-Fractional Coupled Spring-Mass System

Uncertainty Quantification of Differential Algebraic Equations Using Polynomial Chaos

Solving Time Fractional Schrödinger Equation in the Sense of Local Fractional Derivative

A Numerical Simulation on the Effect of Vaccination and Treatments for the Fractional Hepatitis B Model

Energy Harvesting for System of Coupled Oscillators Under External Excitation in the Vicinity of Resonance 1:1

Accounting for Quasi-Static Coupling in Nonlinear Dynamic Reduced-Order Models

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

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

Automating the Derivation of the Equations of Motion of a Multibody Dynamic System With Uncertainty Using Polynomial Chaos Theory and Variational Work

Calculating Positive Invariant Sets: A Quantifier Elimination Approach

Solving Two-Dimensional Variable-Order Fractional Optimal Control Problems With Transcendental Bernstein Series

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