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Journal Articles

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

Yonghyeon Jeon, Sunyoung Bu
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
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
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Topics: Errors, Integral equations, Laplace transforms, Approximation, Error analysis
Journal Articles

Numerical Treatment of Nonlinear Stochastic Itô–Volterra Integral Equations by Piecewise Spectral-Collocation Method

Fakhrodin Mohammadi
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. March 2019, 14(3): 031007.
Paper No: CND-18-1449
https://doi.org/10.1115/1.4042440
Published Online: January 22, 2019
View Article titled, Numerical Treatment of Nonlinear Stochastic Itô–Volterra Integral Equations by Piecewise Spectral-Collocation Method
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Topics: Errors, Integral equations, Interpolation, Polynomials, Volterra equations, Approximation
Journal Articles

A Spectral Numerical Method for Solving Distributed-Order Fractional Initial Value Problems

M. A. Zaky, E. H. Doha, J. A. Tenreiro Machado
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. October 2018, 13(10): 101007.
Paper No: CND-18-1007
https://doi.org/10.1115/1.4041030
Published Online: August 22, 2018
View Article titled, A Spectral Numerical Method for Solving Distributed-Order Fractional Initial Value Problems
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Topics: Errors, Numerical analysis, Polynomials, Integral equations
Journal Articles

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

Hossein Jafari
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
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
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Topics: Approximation, Errors, Iterative methods, Partial differential equations, Integral equations
Journal Articles

On Abstract Fractional Order Telegraph Equation

Mohamed A. E. Herzallah, Dumitru Baleanu
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research Papers
J. Comput. Nonlinear Dynam. April 2010, 5(2): 021008.
https://doi.org/10.1115/1.4000824
Published Online: February 18, 2010
View Article titled, On Abstract Fractional Order Telegraph Equation
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Topics: Integral equations, Theorems (Mathematics)
Journal Articles

The Brachistochrone With a Movable End-Point and the Nonsimultaneous Variations

D. Radomirovic, Dj. Djukic, L. Cveticanin
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research Papers
J. Comput. Nonlinear Dynam. January 2010, 5(1): 011007.
https://doi.org/10.1115/1.4000316
Published Online: November 18, 2009
View Article titled, The Brachistochrone With a Movable End-Point and the Nonsimultaneous Variations
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Topics: Variational techniques, Boundary-value problems, Integral equations, Optimization, Theorems (Mathematics)
Journal Articles

Rigid Body Impact Modeling Using Integral Formulation

Yuning Zhang, Inna Sharf
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Technical Briefs
J. Comput. Nonlinear Dynam. January 2007, 2(1): 98–102.
https://doi.org/10.1115/1.2389232
Published Online: September 10, 2006
View Article titled, Rigid Body Impact Modeling Using Integral Formulation
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Topics: Friction, Impact modeling, Impulse (Physics), Stiction, Differential equations, Integral equations, Modeling
Journal Articles

Numerical Scheme for the Solution of Fractional Differential Equations of Order Greater Than One

Pankaj Kumar, Om P. Agrawal
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research Papers
J. Comput. Nonlinear Dynam. April 2006, 1(2): 178–185.
https://doi.org/10.1115/1.2166147
Published Online: December 16, 2005
View Article titled, Numerical Scheme for the Solution of Fractional Differential Equations of Order Greater Than One
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Topics: Algorithms, Differential equations, Errors, Polynomials, Integral equations