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Journal Articles

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

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Kushal Dhar Dwivedi, Rajeev, Subir Das, Dumitru Baleanu
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
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 Articletitled, Numerical Solution of Nonlinear Space–Time Fractional-Order Advection–Reaction–Diffusion Equation
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Topics: Diffusion (Physics), Polynomials, Spacetime, Error analysis, Boundary-value problems, Approximation, Numerical analysis
Journal Articles

Computational Analysis of the U.S. Forest Fires

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António M. Lopes, J. A. Tenreiro Machado
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Technical Briefs
J. Comput. Nonlinear Dynam. July 2017, 12(4): 044503.
Paper No: CND-16-1311
https://doi.org/10.1115/1.4035672
Published Online: January 24, 2017
View Articletitled, Computational Analysis of the U.S. Forest Fires
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Topics: Entropy, Fire, Spacetime, Visualization
Journal Articles

Numerical Simulation of Noninteger Order System in Subdiffusive, Diffusive, and Superdiffusive Scenarios

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Kolade M. Owolabi, Abdon Atangana
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. May 2017, 12(3): 031010.
Paper No: CND-16-1219
https://doi.org/10.1115/1.4035195
Published Online: December 5, 2016
View Articletitled, Numerical Simulation of Noninteger Order System in Subdiffusive, Diffusive, and Superdiffusive Scenarios
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Topics: Computer simulation, Diffusion (Physics), Dynamics (Mechanics), Mathematical analysis, Spacetime, Stiffness, Stability, Theorems (Mathematics), Differential equations
Journal Articles

The First Integral Method for Exact Solutions of Nonlinear Fractional Differential Equations

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Ahmet Bekir, Özkan Güner, Ömer Ünsal
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
J. Comput. Nonlinear Dynam. March 2015, 10(2): 021020.
Paper No: CND-14-1037
https://doi.org/10.1115/1.4028065
Published Online: March 1, 2015
View Articletitled, The First Integral Method for Exact Solutions of Nonlinear Fractional Differential Equations
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Topics: Differential equations, Polynomials, Spacetime, Algebra
Journal Articles

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

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H. Jafari, H. Tajadodi, D. Baleanu
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research-Article
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 Articletitled, Application of a Homogeneous Balance Method to Exact Solutions of Nonlinear Fractional Evolution Equations
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Topics: Algorithms, Differential equations, Spacetime, Traveling waves, Partial differential equations
Journal Articles

Solutions of Delayed Partial Differential Equations With Space-Time Varying Coefficients

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Venkatesh Deshmukh
Journal: Journal of Computational and Nonlinear Dynamics
Publisher: ASME
Article Type: Research Papers
J. Comput. Nonlinear Dynam. April 2012, 7(2): 021002.
https://doi.org/10.1115/1.4005081
Published Online: December 22, 2011
View Articletitled, Solutions of Delayed Partial Differential Equations With Space-Time Varying Coefficients
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Topics: Nonlinear equations, Partial differential equations, Spacetime, Wave equations, Boundary-value problems, Heat, Delays