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Journal Articles

Numerical Solution of Fractional Order Bagley–Torvik Equation Via Hermite Wavelet Method

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Muhammad Yousaf, Amanullah, Salman Zeb, Umar Farooq, Kamal Shah
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. July 2025, 20(7): 071005.
Paper No: CND-24-1032
https://doi.org/10.1115/1.4068580
Published Online: May 19, 2025
View Articletitled, Numerical Solution of Fractional Order Bagley–Torvik Equation Via Hermite Wavelet Method
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Topics: Wavelets, Polynomials
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

A Robust Numerical Approach for the Fractional Polio Model by the Genocchi Wavelet Collocation Method

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Manohara G, Kumbinarasaiah S
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. April 2025, 20(4): 041002.
Paper No: CND-24-1188
https://doi.org/10.1115/1.4067857
Published Online: February 28, 2025
View Articletitled, A Robust Numerical Approach for the Fractional Polio Model by the Genocchi Wavelet Collocation Method
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Topics: Wavelets, Errors
Journal Articles

Haar Wavelet Approach for the Mathematical Model on Hepatitis B Virus

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Kumbinarasaiah S., Yeshwanth R.
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. September 2024, 19(9): 091003.
Paper No: CND-24-1006
https://doi.org/10.1115/1.4065843
Published Online: July 13, 2024
View Articletitled, Haar Wavelet Approach for the Mathematical Model on Hepatitis B Virus
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Topics: Wavelets, Differential equations
Journal Articles

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

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Mine A. Bayrak, Ali Demir
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
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 Articletitled, On the Inverse Problem of Time-Dependent Coefficient in a Time Fractional Diffusion Problem by Newly Defined Monic Laquerre Wavelets
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Topics: Diffusion (Physics), Inverse problems, Wavelets, Polynomials, Algorithms
Journal Articles

Wavelet-Based Methods to Partition Multibody Systems With Contact in Dynamic Simulation

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Chantal Hutchison, Joseph Hewlett, József Kövecses
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. April 2023, 18(4): 041002.
Paper No: CND-22-1247
https://doi.org/10.1115/1.4056848
Published Online: March 2, 2023
View Articletitled, Wavelet-Based Methods to Partition Multibody Systems With Contact in Dynamic Simulation
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Topics: Algorithms, Dynamics (Mechanics), Multibody systems, Simulation, Topology, Wavelets, Impulse (Physics), Chain
Journal Articles

A Numerical Algorithm to Capture Spin Patterns of Fractional Bloch Nuclear Magnetic Resonance Flow Models

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R. C. Mittal, Sapna Pandit
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. August 2019, 14(8): 081001.
Paper No: CND-18-1153
https://doi.org/10.1115/1.4043565
Published Online: May 13, 2019
View Articletitled, A Numerical Algorithm to Capture Spin Patterns of Fractional Bloch Nuclear Magnetic Resonance Flow Models
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Topics: Particle spin, Rotation, Spin (Aerodynamics), Wavelets, Flow (Dynamics), Nuclear magnetic resonance
Journal Articles

A Comparative Study of Integer and Noninteger Order Wavelets for Fractional Nonlinear Fredholm Integro-Differential Equations

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F. Mohammadi, J. A. Tenreiro Machado
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. August 2018, 13(8): 081002.
Paper No: CND-17-1555
https://doi.org/10.1115/1.4040343
Published Online: June 18, 2018
View Articletitled, A Comparative Study of Integer and Noninteger Order Wavelets for Fractional Nonlinear Fredholm Integro-Differential Equations
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Topics: Wavelets, Algorithms
Journal Articles

Chebyshev Wavelet Quasilinearization Scheme for Coupled Nonlinear Sine-Gordon Equations

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K. Harish Kumar, V. Antony Vijesh
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. January 2017, 12(1): 011018.
Paper No: CND-15-1058
https://doi.org/10.1115/1.4035056
Published Online: November 22, 2016
View Articletitled, Chebyshev Wavelet Quasilinearization Scheme for Coupled Nonlinear Sine-Gordon Equations
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Topics: Wavelets
Journal Articles

Wavelets Galerkin Method for the Fractional Subdiffusion Equation

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M. H. Heydari
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. November 2016, 11(6): 061014.
Paper No: CND-15-1114
https://doi.org/10.1115/1.4034391
Published Online: August 22, 2016
View Articletitled, Wavelets Galerkin Method for the Fractional Subdiffusion Equation
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Topics: Algebra, Algorithms, Boundary-value problems, Diffusion (Physics), Errors, Galerkin method, Linear systems, Wavelets, Numerical analysis
Journal Articles

A New Bernoulli Wavelet Operational Matrix of Derivative Method for the Solution of Nonlinear Singular Lane–Emden Type Equations Arising in Astrophysics

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S. Balaji
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. September 2016, 11(5): 051013.
Paper No: CND-15-1181
https://doi.org/10.1115/1.4032386
Published Online: February 5, 2016
View Articletitled, A New Bernoulli Wavelet Operational Matrix of Derivative Method for the Solution of Nonlinear Singular Lane–Emden Type Equations Arising in Astrophysics
Open the PDF for A New Bernoulli Wavelet Operational Matrix of Derivative Method for the Solution of Nonlinear Singular Lane–Emden Type Equations Arising in Astrophysics in another window
Topics: Astrophysics, Errors, Wavelets, Boundary-value problems
Journal Articles

Solving Nonlinear Fractional Integro-Differential Equations of Volterra Type Using Novel Mathematical Matrices

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Farshid Mirzaee, Saeed Bimesl, Emran Tohidi
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. November 2015, 10(6): 061016.
Paper No: CND-14-1174
https://doi.org/10.1115/1.4029281
Published Online: November 1, 2015
View Articletitled, Solving Nonlinear Fractional Integro-Differential Equations of Volterra Type Using Novel Mathematical Matrices
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Topics: Algebra, Algorithms, Errors, Polynomials, Wavelets, Approximation, Differential equations, Error functions
Journal Articles

Numerical Solution of Fractional Partial Differential Equation of Parabolic Type With Dirichlet Boundary Conditions Using Two-Dimensional Legendre Wavelets Method

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S. Saha Ray, A. K. Gupta
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. January 2016, 11(1): 011012.
Paper No: CND-14-1217
https://doi.org/10.1115/1.4028984
Published Online: August 12, 2015
View Articletitled, Numerical Solution of Fractional Partial Differential Equation of Parabolic Type With Dirichlet Boundary Conditions Using Two-Dimensional Legendre Wavelets Method
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Topics: Wavelets, Electromagnetic weapons
Journal Articles

Parameter Estimation of the FitzHugh–Nagumo Neuron Model Using Integrals Over Finite Time Periods

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Antonio Concha, Rubén Garrido
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. March 2015, 10(2): 021023.
Paper No: CND-14-1094
https://doi.org/10.1115/1.4028601
Published Online: March 1, 2015
View Articletitled, Parameter Estimation of the FitzHugh–Nagumo Neuron Model Using Integrals Over Finite Time Periods
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Topics: Algorithms, Computer simulation, Filters, Membranes, Noise (Sound), Parameter estimation, Signals, Wavelets
Journal Articles

Wavelet-Based Multifractal Analysis to Periodic Time Series

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Changzheng Chen, Zhong Wang, Yi Gou, Xinguang Zhao, Hailing Miao
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. January 2015, 10(1): 011006.
Paper No: CND-13-1103
https://doi.org/10.1115/1.4027470
Published Online: September 12, 2014
View Articletitled, Wavelet-Based Multifractal Analysis to Periodic Time Series
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Topics: Signals, Time series, Wavelet transforms, Wavelets, Vibration
Journal Articles

Wavelet Method for a Class of Fractional Klein-Gordon Equations

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G. Hariharan
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. April 2013, 8(2): 021008.
Paper No: CND-11-1216
https://doi.org/10.1115/1.4006837
Published Online: July 23, 2012
View Articletitled, Wavelet Method for a Class of Fractional Klein-Gordon Equations
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Topics: Wavelets
Journal Articles

Analysis of the Nonlinear Dynamics of the Timoshenko Flexible Beams Using Wavelets

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J. Awrejcewicz, A. V. Krysko, V. Soldatov, V. A. Krysko
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research Papers
J. Comput. Nonlinear Dynam. January 2012, 7(1): 011005.
https://doi.org/10.1115/1.4004376
Published Online: August 9, 2011
View Articletitled, Analysis of the Nonlinear Dynamics of the Timoshenko Flexible Beams Using Wavelets
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Topics: Vibration, Wavelets
Journal Articles

Ritz Legendre Multiwavelet Method for the Damped Generalized Regularized Long-Wave Equation

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S. A. Yousefi, Z. Barikbin
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Technical Briefs
J. Comput. Nonlinear Dynam. January 2012, 7(1): 014501.
https://doi.org/10.1115/1.4004121
Published Online: July 22, 2011
View Articletitled, Ritz Legendre Multiwavelet Method for the Damped Generalized Regularized Long-Wave Equation
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Topics: Approximation, Boundary-value problems, Galerkin method, Polynomials, Wavelets, Waves, Algebra, Function approximation, Nonlinear differential equations, Numerical analysis
Journal Articles

Study on the Identification of Experimental Chaotic Vibration Signal for Nonlinear Vibration Isolation System

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Shuyong Liu, Zhu Shijian, Yang Qingchao, He Qiwei
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research Papers
J. Comput. Nonlinear Dynam. October 2011, 6(4): 041006.
https://doi.org/10.1115/1.4003805
Published Online: April 12, 2011
View Articletitled, Study on the Identification of Experimental Chaotic Vibration Signal for Nonlinear Vibration Isolation System
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Topics: Chaos, Nonlinear vibration, Signals, Vibration, Wavelets, Attractors, Time series, Artificial neural networks, Excitation