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Journal Articles

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

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 Article titled, 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

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 Article titled, 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

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 Article titled, 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

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 Article titled, 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

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 Article titled, 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

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 Article titled, 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