Robert A. Van Gorder

Orcid: 0000-0002-8506-3961

According to our database1, Robert A. Van Gorder authored at least 58 papers between 2009 and 2021.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.

Timeline

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Bibliography

2021
Locating the Baking Isotherm in a Søderberg Electrode: Analysis of a Moving Thermistor Model.
SIAM J. Appl. Math., 2021

2020
Modeling Microsilica Particle Formation and Growth Due to the Combustion Reaction of Silicon Monoxide With Oxygen.
SIAM J. Appl. Math., 2020

Unstaggered-staggered solitons on one- and two-dimensional two-component discrete nonlinear Schrödinger lattices.
Commun. Nonlinear Sci. Numer. Simul., 2020

2019
Homogenization of a Shrinking Core Model for Gas-Solid Reactions in Granular Particles.
SIAM J. Appl. Math., 2019

A Homogenization Approach for the Roasting of an Array of Coffee Beans.
SIAM J. Appl. Math., 2019

Extended Stefan Problem for Solidification of Binary Alloys in a Finite Planar Domain.
SIAM J. Appl. Math., 2019

Optimal homotopy analysis and control of error for implicitly defined fully nonlinear differential equations.
Numer. Algorithms, 2019

Chaotic Rotations of a Rigid Ellipsoidal Body Exhibiting Spin-Orbit Misalignment in a Periodic Orbit.
Int. J. Bifurc. Chaos, 2019

2018
Asymptotic Analysis of a Silicon Furnace Model.
SIAM J. Appl. Math., 2018

Asymptotic Analysis of a Multiphase Drying Model Motivated By Coffee Bean Roasting.
SIAM J. Appl. Math., 2018

Solving the Dym initial value problem in reproducing kernel space.
Numer. Algorithms, 2018

Chaotic Dynamics in the Planar Gravitational Many-Body Problem with Rigid Body Rotations.
Int. J. Bifurc. Chaos, 2018

Bifurcations and Dynamics Emergent From Lattice and Continuum Models of Bioactive Porous Media.
Int. J. Bifurc. Chaos, 2018

Nonlinear dynamics of discrete time multi-level leader-follower games.
Appl. Math. Comput., 2018

Reproducing kernel method for the numerical solution of the 1D Swift-Hohenberg equation.
Appl. Math. Comput., 2018

2017
On the utility of the homotopy analysis method for non-analytic and global solutions to nonlinear differential equations.
Numer. Algorithms, 2017

Reproducing kernel method for the numerical solution of the Brinkman-Forchheimer momentum equation.
J. Comput. Appl. Math., 2017

On the Inverse Problem of Competitive Modes and the Search for Chaotic Dynamics.
Int. J. Bifurc. Chaos, 2017

Hyperchaos from a Model of Coupled Stratosphere-Troposphere Dynamics.
Int. J. Bifurc. Chaos, 2017

Opinion formation and distribution in a bounded confidence model on various networks.
CoRR, 2017

2016
A space-time Legendre spectral tau method for the two-sided space-time Caputo fractional diffusion-wave equation.
Numer. Algorithms, 2016

Resonant solitons from the 3 × 3 operator.
Math. Comput. Simul., 2016

The chaotic Dadras-Momeni system: control and hyperchaotification.
IMA J. Math. Control. Inf., 2016

2015
Efficient low-error analytical-numerical approximations for radial solutions of nonlinear Laplace equations.
Numer. Algorithms, 2015

Competitive Modes for the Detection of Chaotic Parameter Regimes in the General Chaotic Bilinear System of Lorenz Type.
Int. J. Bifurc. Chaos, 2015

Existence and numerical simulation of periodic traveling wave solutions to the Casimir equation for the Ito system.
Commun. Nonlinear Sci. Numer. Simul., 2015

The variational iteration method is a special case of the homotopy analysis method.
Appl. Math. Lett., 2015

2014
Optimal homotopy analysis and control of error for solutions to the non-local Whitham equation.
Numer. Algorithms, 2014

On the choice of auxiliary linear operator in the optimal homotopy analysis of the Cahn-Hilliard initial value problem.
Numer. Algorithms, 2014

Jacobi-Gauss-Lobatto collocation method for the numerical solution of l+l nonlinear Schrödinger equations.
J. Comput. Phys., 2014

The Cauchy problem for complex fuzzy differential equations.
Fuzzy Sets Syst., 2014

Several classes of exact solutions to the 1 + 1 Born-Infeld equation.
Commun. Nonlinear Sci. Numer. Simul., 2014

Hybrid projective synchronization and control of the Baier-Sahle hyperchaotic flow in arbitrary dimensions with unknown parameters.
Appl. Math. Comput., 2014

Method for constructing analytical solutions to the Dym initial value problem.
Appl. Math. Comput., 2014

2013
Control of error in the homotopy analysis of solutions to the Zakharov system with dissipation.
Numer. Algorithms, 2013

Painlevé property and exact solutions for a nonlinear wave equation with generalized power-law nonlinearities.
Commun. Nonlinear Sci. Numer. Simul., 2013

Hyper-Riccati equations and integrable reductions permitting stationary solutions for complex hyperbolic field equations.
Appl. Math. Comput., 2013

Continuous-time dynamic games for the Cournot adjustment process for competing oligopolists.
Appl. Math. Comput., 2013

Control of error in the homotopy analysis of nonlinear Klein-Gordon initial value problems.
Appl. Math. Comput., 2013

2012
Control of error in the homotopy analysis of semi-linear elliptic boundary value problems.
Numer. Algorithms, 2012

Chaotic Regimes, Post-bifurcation Dynamics, and Competitive Modes for a generalized Double Hopf Normal Form.
Int. J. Bifurc. Chaos, 2012

Traveling wave solutions of the n-dimensional coupled Yukawa equations.
Appl. Math. Lett., 2012

Traveling wave solutions (u, ν) to a generalized Drinfel'd-Sokolov system which satisfy u=a<sub>1</sub>v<sup>m</sup>+a<sub>0</sub>.
Appl. Math. Comput., 2012

Painlevé test, integrability, and exact solutions for density-dependent reaction-diffusion equations with polynomial reaction functions.
Appl. Math. Comput., 2012

Asymptotic solutions for singularly perturbed Boussinesq equations.
Appl. Math. Comput., 2012

2011
Existence and uniqueness results for a nonlinear differential equation arising in viscous flow over a nonlinearly stretching sheet.
Appl. Math. Lett., 2011

Convective heat transfer in a conducting fluid over a permeable stretching surface with suction and internal heat generation/absorption.
Appl. Math. Comput., 2011

Computing the region of convergence for power series in many real variables: A ratio-like test.
Appl. Math. Comput., 2011

Analysis of nonlinear BVPs motivated by fluid film flow over a surface.
Appl. Math. Comput., 2011

2010
Classification of Chaotic Regimes in the T System by Use of Competitive Modes.
Int. J. Bifurc. Chaos, 2010

Trigonometric and hyperbolic type solutions to a generalized Drinfel'd-Sokolov equation.
Appl. Math. Comput., 2010

Analytical solutions to a generalized Drinfel'd-Sokolov equation related to DSSH and KdV6.
Appl. Math. Comput., 2010

A general class of coupled nonlinear differential equations arising in self-similar solutions of convective heat transfer problems.
Appl. Math. Comput., 2010

Analytical solutions of a coupled nonlinear system arising in a flow between stretching disks.
Appl. Math. Comput., 2010

High-order nonlinear boundary value problems admitting multiple exact solutions with application to the fluid flow over a sheet.
Appl. Math. Comput., 2010

Analytical and numerical results for the Swift-Hohenberg equation.
Appl. Math. Comput., 2010

2009
Computation of certain infinite series of the form Sigma f(n)n<sup>k</sup> for arbitrary real-valued k.
Appl. Math. Comput., 2009

Implicit differential equation arising in the steady flow of a Sisko fluid.
Appl. Math. Comput., 2009


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