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Journal Articles

Tensor-Based Data-Driven Identification of Partial Differential Equations

Wanting Lin, Xiaofan Lu, Linan Zhang

Publisher: ASME

J. Comput. Nonlinear Dynam. August 2024, 19(8): 081005.

Paper No: CND-23-1346

https://doi.org/10.1115/1.4065691

Published Online: June 18, 2024

View Article titled, Tensor-Based Data-Driven Identification of Partial Differential Equations

Topics: Partial differential equations, Tensors, Wave equations, Trains

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

Solutions of Time-Space Fractional Partial Differential Equations Using Picard's Iterative Method

Manoj Kumar, Aman Jhinga, J. T. Majithia

Publisher: ASME

J. Comput. Nonlinear Dynam. March 2024, 19(3): 031006.

Paper No: CND-23-1185

https://doi.org/10.1115/1.4064553

Published Online: February 7, 2024

View Article titled, Solutions of Time-Space Fractional Partial Differential Equations Using Picard's Iterative Method

Topics: Diffusion (Physics), Iterative methods, Partial differential equations, Thin films, Convection, Heat

Journal Articles

Exact Solutions of Systems of Nonlinear Time-Space Fractional Partial Differential Equations Using an Iterative Method

Manoj Kumar

Publisher: ASME

J. Comput. Nonlinear Dynam. October 2023, 18(10): 101003.

Paper No: CND-22-1295

https://doi.org/10.1115/1.4062910

Published Online: July 26, 2023

View Article titled, Exact Solutions of Systems of Nonlinear Time-Space Fractional Partial Differential Equations Using an Iterative Method

Topics: Diffusion (Physics), Partial differential equations, Error analysis, Iterative methods

Journal Articles

Analysis and Fractal Dynamics of Local Fractional Partial Differential Equations Occurring in Physical Sciences

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

Publisher: ASME

J. Comput. Nonlinear Dynam. March 2023, 18(3): 031001.

Paper No: CND-22-1153

https://doi.org/10.1115/1.4056360

Published Online: January 11, 2023

View Article titled, Analysis and Fractal Dynamics of Local Fractional Partial Differential Equations Occurring in Physical Sciences

Topics: Computer simulation, Fractals, Partial differential equations, Dynamics (Mechanics)

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

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

Yasir Nawaz, Muhammad Shoaib Arif, Kamaleldin Abodayeh

Publisher: ASME

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

Topics: Boundary-value problems, Heat, Mass transfer, Partial differential equations, Stability, Temperature, Errors, Differential equations, Flow (Dynamics), Construction

Journal Articles

A Numerical Scheme for Fractional Mixed Convection Flow Over Flat and Oscillatory Plates

Yasir Nawaz, Muhammad Shoaib Arif, Kamaleldin Abodayeh

Publisher: ASME

J. Comput. Nonlinear Dynam. July 2022, 17(7): 071008.

Paper No: CND-21-1353

https://doi.org/10.1115/1.4054483

Published Online: May 24, 2022

View Article titled, A Numerical Scheme for Fractional Mixed Convection Flow Over Flat and Oscillatory Plates

Topics: Chemical reactions, Errors, Flow (Dynamics), Mixed convection, Partial differential equations, Plates (structures), Stability, Diffusion (Physics), Convection, Scalars

Journal Articles

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

Alok Sinha

Publisher: ASME

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

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

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

Publisher: ASME

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 Article titled, Nonlinear Longitudinal Vibrations in Accreting One-Dimensional Nanostructures

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

Journal Articles

Nonlinear Partial Differential Equation Model-Based Coordination Control for a Master–Slave Two-Link Rigid–Flexible Manipulator With Vibration Repression

Fangfei Cao, Jinkun Liu

Publisher: ASME

J. Comput. Nonlinear Dynam. February 2021, 16(2): 021007.

Paper No: CND-20-1315

https://doi.org/10.1115/1.4049219

Published Online: December 18, 2020

View Article titled, Nonlinear Partial Differential Equation Model-Based Coordination Control for a Master–Slave Two-Link Rigid–Flexible Manipulator With Vibration Repression

Topics: Control equipment, Deflection, Flexible manipulators, Manipulators, Partial differential equations, Vibration, Simulation

Journal Articles

Vibration and Event-Triggered Control for Flexible Nonlinear Three-Dimensional Euler–Bernoulli Beam System

Ning Ji, Jinkun Liu

Publisher: ASME

J. Comput. Nonlinear Dynam. November 2020, 15(11): 111007.

Paper No: CND-20-1115

https://doi.org/10.1115/1.4048367

Published Online: September 28, 2020

View Article titled, Vibration and Event-Triggered Control for Flexible Nonlinear Three-Dimensional Euler–Bernoulli Beam System

Topics: Deformation, Design, Signals, Stability, Vibration, Engineering simulation, Simulation, Dynamic models, Partial differential equations

Journal Articles

New Fractional Analytical Study of Three-Dimensional Evolution Equation Equipped With Three Memory Indices

Feras Yousef, Marwan Alquran, Imad Jaradat, Shaher Momani, Dumitru Baleanu

Publisher: ASME

J. Comput. Nonlinear Dynam. November 2019, 14(11): 111008.

Paper No: CND-19-1086

https://doi.org/10.1115/1.4044585

Published Online: September 23, 2019

View Article titled, New Fractional Analytical Study of Three-Dimensional Evolution Equation Equipped With Three Memory Indices

Topics: Diffusion (Physics), Partial differential equations

Journal Articles

Boundary Control for a Rigid-Flexible Manipulator With Input Constraints Based on Ordinary Differential Equations–Partial Differential Equations Model

Fangfei Cao, Jinkun Liu

Publisher: ASME

J. Comput. Nonlinear Dynam. September 2019, 14(9): 094501.

Paper No: CND-18-1466

https://doi.org/10.1115/1.4044012

Published Online: July 15, 2019

View Article titled, Boundary Control for a Rigid-Flexible Manipulator With Input Constraints Based on Ordinary Differential Equations–Partial Differential Equations Model

Topics: Control equipment, Differential equations, Manipulators, Partial differential equations, Dynamic models, Design

Journal Articles

Time Fractional Third-Order Evolution Equation: Symmetry Analysis, Explicit Solutions, and Conservation Laws

Dumitru Baleanu, Mustafa Inc, Abdullahi Yusuf, Aliyu Isa Aliyu

Publisher: ASME

J. Comput. Nonlinear Dynam. February 2018, 13(2): 021011.

Paper No: CND-17-1216

https://doi.org/10.1115/1.4037765

Published Online: November 20, 2017

View Article titled, Time Fractional Third-Order Evolution Equation: Symmetry Analysis, Explicit Solutions, and Conservation Laws

Topics: Differential equations, Partial differential equations, Theorems (Mathematics), Generators

Journal Articles

New Conservation Laws, Lagrangian Forms, and Exact Solutions of Modified Emden Equation

Gülden Gün Polat, Teoman Özer

Publisher: ASME

J. Comput. Nonlinear Dynam. July 2017, 12(4): 041001.

Paper No: CND-16-1047

https://doi.org/10.1115/1.4035408

Published Online: January 19, 2017

View Article titled, New Conservation Laws, Lagrangian Forms, and Exact Solutions of Modified Emden Equation

Topics: Differential equations, Momentum, Partial differential equations, Computational mechanics

Journal Articles

Numerical Solution of Time-Fractional Klein–Gordon Equation by Using the Decomposition Methods

Hossein Jafari

Publisher: ASME

J. Comput. Nonlinear Dynam. July 2016, 11(4): 041015.

Paper No: CND-16-1012

https://doi.org/10.1115/1.4032767

Published Online: March 16, 2016

View Article titled, Numerical Solution of Time-Fractional Klein–Gordon Equation by Using the Decomposition Methods

Topics: Approximation, Errors, Iterative methods, Partial differential equations, Integral equations

Journal Articles

Improved ( G ' / G ) -Expansion Method for the Time-Fractional Biological Population Model and Cahn–Hilliard Equation

Dumitru Baleanu, Yavuz Uğurlu, Mustafa Inc, Bulent Kilic

Publisher: ASME

J. Comput. Nonlinear Dynam. September 2015, 10(5): 051016.

Paper No: CND-14-1220

https://doi.org/10.1115/1.4029254

Published Online: September 1, 2015

View Article titled, Improved ( G ' / G ) -Expansion Method for the Time-Fractional Biological Population Model and Cahn–Hilliard Equation

Topics: Differential equations, Partial differential equations, Traveling waves, Waves

Journal Articles

An Accurate Jacobi Pseudospectral Algorithm for Parabolic Partial Differential Equations With Nonlocal Boundary Conditions

E. H. Doha, A. H. Bhrawy, M. A. Abdelkawy

Publisher: ASME

J. Comput. Nonlinear Dynam. March 2015, 10(2): 021016.

Paper No: CND-13-1330

https://doi.org/10.1115/1.4026930

Published Online: March 1, 2015

View Article titled, An Accurate Jacobi Pseudospectral Algorithm for Parabolic Partial Differential Equations With Nonlocal Boundary Conditions

Topics: Boundary-value problems, Errors, Polynomials, Algorithms, Partial differential equations

Journal Articles

Application of a Homogeneous Balance Method to Exact Solutions of Nonlinear Fractional Evolution Equations

H. Jafari, H. Tajadodi, D. Baleanu

Publisher: ASME

J. Comput. Nonlinear Dynam. April 2014, 9(2): 021019.

Paper No: CND-13-1010

https://doi.org/10.1115/1.4025770

Published Online: February 12, 2014

View Article titled, Application of a Homogeneous Balance Method to Exact Solutions of Nonlinear Fractional Evolution Equations

Topics: Algorithms, Differential equations, Spacetime, Traveling waves, Partial differential equations

Journal citation

NARROW

Tensor-Based Data-Driven Identification of Partial Differential Equations

Compactons in Higher-Order Nesterenko's-Type Equations

Solutions of Time-Space Fractional Partial Differential Equations Using Picard's Iterative Method

Exact Solutions of Systems of Nonlinear Time-Space Fractional Partial Differential Equations Using an Iterative Method

Analysis and Fractal Dynamics of Local Fractional Partial Differential Equations Occurring in Physical Sciences

Effective Optimized Decomposition Algorithms for Solving Nonlinear Fractional Differential Equations

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

A Numerical Scheme for Fractional Mixed Convection Flow Over Flat and Oscillatory Plates

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

Nonlinear Longitudinal Vibrations in Accreting One-Dimensional Nanostructures

Nonlinear Partial Differential Equation Model-Based Coordination Control for a Master–Slave Two-Link Rigid–Flexible Manipulator With Vibration Repression

Vibration and Event-Triggered Control for Flexible Nonlinear Three-Dimensional Euler–Bernoulli Beam System

New Fractional Analytical Study of Three-Dimensional Evolution Equation Equipped With Three Memory Indices

Boundary Control for a Rigid-Flexible Manipulator With Input Constraints Based on Ordinary Differential Equations–Partial Differential Equations Model

Time Fractional Third-Order Evolution Equation: Symmetry Analysis, Explicit Solutions, and Conservation Laws

New Conservation Laws, Lagrangian Forms, and Exact Solutions of Modified Emden Equation

Numerical Solution of Time-Fractional Klein–Gordon Equation by Using the Decomposition Methods

Improved ( G ' / G ) -Expansion Method for the Time-Fractional Biological Population Model and Cahn–Hilliard Equation

An Accurate Jacobi Pseudospectral Algorithm for Parabolic Partial Differential Equations With Nonlocal Boundary Conditions

Application of a Homogeneous Balance Method to Exact Solutions of Nonlinear Fractional Evolution Equations

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