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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

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

Shweta Kumari, Abhishek Kumar Singh, Vaibhav Mehandiratta, Mani Mehra

Publisher: ASME

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

Topics: Approximation, Diffusion (Physics), Errors, Stability, Interpolation

Journal Articles

Analytical Properties and Numerical Preservation of an Age-Group Susceptible-Infected-Recovered Model: Application to the Diffusion of Information

Angelamaria Cardone, Patricia Diaz de Alba, Beatrice Paternoster

Publisher: ASME

J. Comput. Nonlinear Dynam. June 2024, 19(6): 061006.

Paper No: CND-23-1152

https://doi.org/10.1115/1.4065437

Published Online: May 21, 2024

View Article titled, Analytical Properties and Numerical Preservation of an Age-Group Susceptible-Infected-Recovered Model: Application to the Diffusion of Information

Topics: Diffusion (Physics), Finite difference methods, Preservation, Approximation

Journal Articles

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

Ryosuke Kanki, Akira Saito

Publisher: ASME

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

Topics: Approximation, Elastic constants, Springs, Theorems (Mathematics), Noise (Sound), Displacement, Errors, Dampers, Stiffness

Journal Articles

The Finite Element Method in Time for Multibody Dynamics

Olivier A. Bauchau

Publisher: ASME

J. Comput. Nonlinear Dynam. July 2024, 19(7): 071001.

Paper No: CND-23-1229

https://doi.org/10.1115/1.4063953

Published Online: May 13, 2024

View Article titled, The Finite Element Method in Time for Multibody Dynamics

Topics: Approximation, Displacement, Pendulums, Finite element methods, Energy dissipation

Journal Articles

Improved Numerical Approach for Bagley–Torvik Equation Using Fractional Integral Formula and Adams–Moulton Method

Yonghyeon Jeon, Sunyoung Bu

Publisher: ASME

J. Comput. Nonlinear Dynam. May 2024, 19(5): 051005.

Paper No: CND-23-1250

https://doi.org/10.1115/1.4065012

Published Online: March 21, 2024

View Article titled, Improved Numerical Approach for Bagley–Torvik Equation Using Fractional Integral Formula and Adams–Moulton Method

Topics: Errors, Integral equations, Laplace transforms, Approximation, Error analysis

Journal Articles

Compactons in Higher-Order Nesterenko's-Type Equations

Vsevolod Vladimirov, Sergii Skurativskyi

Publisher: ASME

J. Comput. Nonlinear Dynam. May 2024, 19(5): 051002.

Paper No: CND-23-1300

https://doi.org/10.1115/1.4064796

Published Online: March 7, 2024

View Article titled, Compactons in Higher-Order Nesterenko's-Type Equations

Topics: Approximation, Chain, Dynamics (Mechanics), Partial differential equations, Solitons, Stability, Trains, Collisions (Physics), Waves, Differential equations

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

Open-Loop Centering of a Point Mass on a Horizontally Vibrating Frictional Table

Dheeraj Varma Manthena, C. P. Vyasarayani, Anindya Chatterjee

Publisher: ASME

J. Comput. Nonlinear Dynam. March 2024, 19(3): 031005.

Paper No: CND-23-1095

https://doi.org/10.1115/1.4064552

Published Online: February 7, 2024

View Article titled, Open-Loop Centering of a Point Mass on a Horizontally Vibrating Frictional Table

Topics: Approximation, Flow (Dynamics), Particulate matter

Journal Articles

A Second-Order Scheme for the Generalized Time-Fractional Burgers' Equation

Reetika Chawla, Devendra Kumar, Satpal Singh

Publisher: ASME

J. Comput. Nonlinear Dynam. January 2024, 19(1): 011001.

Paper No: CND-22-1328

https://doi.org/10.1115/1.4063792

Published Online: October 26, 2023

View Article titled, A Second-Order Scheme for the Generalized Time-Fractional Burgers' Equation

Topics: Approximation, Errors, Stability

Journal Articles

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

Komal Deswal, Renu Choudhary, Devendra Kumar

Publisher: ASME

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

Topics: Approximation, Errors, Splines, Stability, Boundary-value problems, B-splines

Journal Articles

Variational Principles for the Trajectory Tracking Control of Underactuated Mechanical Systems

Bálint Bodor, László Bencsik

Publisher: ASME

J. Comput. Nonlinear Dynam. June 2023, 18(6): 061002.

Paper No: CND-22-1183

https://doi.org/10.1115/1.4056593

Published Online: April 6, 2023

View Article titled, Variational Principles for the Trajectory Tracking Control of Underactuated Mechanical Systems

Topics: Approximation, Optimal control, Trajectories (Physics), Tracking control, Manipulators, Newton's method

Journal Articles

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

Reetika Chawla, Komal Deswal, Devendra Kumar, Dumitru Baleanu

Publisher: ASME

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

Paper No: CND-22-1176

https://doi.org/10.1115/1.4056857

Published Online: March 2, 2023

View Article titled, Numerical Simulation for Generalized Time-Fractional Burgers' Equation With Three Distinct Linearization Schemes

Topics: Computer simulation, Errors, Stability, Approximation

Journal Articles

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

Wafia Fafa, Zaid Odibat, Nabil Shawagfeh

Publisher: ASME

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

Paper No: CND-22-1127

https://doi.org/10.1115/1.4056392

Published Online: December 19, 2022

View Article titled, The Homotopy Analysis Method for Solving Differential Equations With Generalized Caputo-Type Fractional Derivatives

Topics: Differential equations, Approximation

Journal Articles

Effective Optimized Decomposition Algorithms for Solving Nonlinear Fractional Differential Equations

Marwa Laoubi, Zaid Odibat, Banan Maayah

Publisher: ASME

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

Paper No: CND-21-1340

https://doi.org/10.1115/1.4056254

Published Online: December 9, 2022

View Article titled, Effective Optimized Decomposition Algorithms for Solving Nonlinear Fractional Differential Equations

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

Publisher: ASME

J. Comput. Nonlinear Dynam. January 2023, 18(1): 011006.

Paper No: CND-21-1250

https://doi.org/10.1115/1.4056218

Published Online: November 21, 2022

View Article titled, Numerical Solution for a Nonlinear Time-Space Fractional Convection-Diffusion Equation

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

Publisher: ASME

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

Paper No: CND-21-1346

https://doi.org/10.1115/1.4055594

Published Online: September 26, 2022

View Article titled, Stability of a Cross-Flow Heat-Exchanger Tube With Asymmetric Supports

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

Publisher: ASME

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

Paper No: CND-22-1070

https://doi.org/10.1115/1.4054932

Published Online: July 28, 2022

View Article titled, Computationally Efficient Simulations of Stochastically Perturbed Nonlinear Dynamical Systems

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

Publisher: ASME

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

Paper No: CND-21-1261

https://doi.org/10.1115/1.4054482

Published Online: June 7, 2022

View Article titled, Computational Study of a Local Fractional Tricomi Equation Occurring in Fractal Transonic Flow

Topics: Computer simulation, Fractals, Transonic flow, Approximation

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

Publisher: ASME

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

Paper No: CND-21-1355

https://doi.org/10.1115/1.4054153

Published Online: April 1, 2022

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

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

Journal citation

NARROW

An Efficient Numerical Approach to Solve Fractional Coupled Boussinesq Equations

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

Analytical Properties and Numerical Preservation of an Age-Group Susceptible-Infected-Recovered Model: Application to the Diffusion of Information

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

The Finite Element Method in Time for Multibody Dynamics

Improved Numerical Approach for Bagley–Torvik Equation Using Fractional Integral Formula and Adams–Moulton Method

Compactons in Higher-Order Nesterenko's-Type Equations

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

Open-Loop Centering of a Point Mass on a Horizontally Vibrating Frictional Table

A Second-Order Scheme for the Generalized Time-Fractional Burgers' Equation

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

Variational Principles for the Trajectory Tracking Control of Underactuated Mechanical Systems

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

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

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

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