Implicit differential equation arising in the steady flow of a Sisko fluid. - Fahir Talay Akyildiz; K. Vajravelu; Ram N. Mohapatra; Erik Sweet; Robert A. Van Gorder (Appl. Math. Comput., 2009)

Computation of certain infinite series of the form Sigma f(n)nk for arbitrary real-valued k. - Robert A. Van Gorder (Appl. Math. Comput., 2009)

Analytical and numerical results for the Swift-Hohenberg equation. - Fahir Talay Akyildiz; Dennis A. Siginer; K. Vajravelu; Robert A. Van Gorder (Appl. Math. Comput., 2010)

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

Analytical solutions of a coupled nonlinear system arising in a flow between stretching disks. - Robert A. Van Gorder; Erik Sweet; K. Vajravelu (Appl. Math. Comput., 2010)

A general class of coupled nonlinear differential equations arising in self-similar solutions of convective heat transfer problems. - Robert A. Van Gorder; K. Vajravelu (Appl. Math. Comput., 2010)

Analytical solutions to a generalized Drinfel'd-Sokolov equation related to DSSH and KdV6. - Erik Sweet; Robert A. Van Gorder (Appl. Math. Comput., 2010)

Trigonometric and hyperbolic type solutions to a generalized Drinfel'd-Sokolov equation. - Erik Sweet; Robert A. Van Gorder (Appl. Math. Comput., 2010)

Classification of Chaotic Regimes in the T System by Use of Competitive Modes. - Robert A. Van Gorder; S. Roy Choudhury (Int. J. Bifurc. Chaos, 2010)

Analysis of nonlinear BVPs motivated by fluid film flow over a surface. - Robert A. Van Gorder (Appl. Math. Comput., 2011)

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

Convective heat transfer in a conducting fluid over a permeable stretching surface with suction and internal heat generation/absorption. - Robert A. Van Gorder; K. Vajravelu (Appl. Math. Comput., 2011)

Existence and uniqueness results for a nonlinear differential equation arising in viscous flow over a nonlinearly stretching sheet. - Robert A. Van Gorder; K. Vajravelu; Fahir Talay Akyildiz (Appl. Math. Lett., 2011)

Asymptotic solutions for singularly perturbed Boussinesq equations. - John Haussermann; Robert A. Van Gorder (Appl. Math. Comput., 2012)

Painlevé test, integrability, and exact solutions for density-dependent reaction-diffusion equations with polynomial reaction functions. - Jessica Hearns; Robert A. Van Gorder; S. Roy Choudhury (Appl. Math. Comput., 2012)

Traveling wave solutions (u, ν) to a generalized Drinfel'd-Sokolov system which satisfy u=a1vm+a0. - Erik Sweet; Robert A. Van Gorder (Appl. Math. Comput., 2012)

Traveling wave solutions of the n-dimensional coupled Yukawa equations. - Robert A. Van Gorder (Appl. Math. Lett., 2012)

Chaotic Regimes, Post-bifurcation Dynamics, and Competitive Modes for a generalized Double Hopf Normal Form. - Brandon Reeves; Robert A. Van Gorder; S. Roy Choudhury (Int. J. Bifurc. Chaos, 2012)

Control of error in the homotopy analysis of semi-linear elliptic boundary value problems. - Robert A. Van Gorder (Numer. Algorithms, 2012)

Control of error in the homotopy analysis of nonlinear Klein-Gordon initial value problems. - Matthew Russo; Robert A. Van Gorder (Appl. Math. Comput., 2013)

Continuous-time dynamic games for the Cournot adjustment process for competing oligopolists. - Brooke C. Snyder; Robert A. Van Gorder; K. Vajravelu (Appl. Math. Comput., 2013)

Hyper-Riccati equations and integrable reductions permitting stationary solutions for complex hyperbolic field equations. - Kyle A. Theaker; Robert A. Van Gorder (Appl. Math. Comput., 2013)

Painlevé property and exact solutions for a nonlinear wave equation with generalized power-law nonlinearities. - Matthew Russo; Robert A. Van Gorder; S. Roy Choudhury (Commun. Nonlinear Sci. Numer. Simul., 2013)

Control of error in the homotopy analysis of solutions to the Zakharov system with dissipation. - Kristina Mallory; Robert A. Van Gorder (Numer. Algorithms, 2013)

Method for constructing analytical solutions to the Dym initial value problem. - Kristina Mallory; Robert A. Van Gorder (Appl. Math. Comput., 2014)

Hybrid projective synchronization and control of the Baier-Sahle hyperchaotic flow in arbitrary dimensions with unknown parameters. - Hassan Saberi Nik; Jafar Saberi-Nadjafi; Sohrab Effati; Robert A. Van Gorder (Appl. Math. Comput., 2014)

Several classes of exact solutions to the 1 + 1 Born-Infeld equation. - Kristina Mallory; Robert A. Van Gorder; Kuppalapalle Vajravelu (Commun. Nonlinear Sci. Numer. Simul., 2014)

The Cauchy problem for complex fuzzy differential equations. - Daria Karpenko; Robert A. Van Gorder; Abraham Kandel (Fuzzy Sets Syst., 2014)

Jacobi-Gauss-Lobatto collocation method for the numerical solution of l+l nonlinear Schrödinger equations. - Eid H. Doha; Ali H. Bhrawy; Mohamed A. Abdelkawy; Robert A. Van Gorder (J. Comput. Phys., 2014)

On the choice of auxiliary linear operator in the optimal homotopy analysis of the Cahn-Hilliard initial value problem. - Mathew Baxter; Robert A. Van Gorder; Kuppalapalle Vajravelu (Numer. Algorithms, 2014)

Optimal homotopy analysis and control of error for solutions to the non-local Whitham equation. - Kristina Mallory; Robert A. Van Gorder (Numer. Algorithms, 2014)

The variational iteration method is a special case of the homotopy analysis method. - Robert A. Van Gorder (Appl. Math. Lett., 2015)

Existence and numerical simulation of periodic traveling wave solutions to the Casimir equation for the Ito system. - Saeid Abbasbandy; Robert A. Van Gorder; Mohammad Hajiketabi; M. Mesrizadeh (Commun. Nonlinear Sci. Numer. Simul., 2015)

Competitive Modes for the Detection of Chaotic Parameter Regimes in the General Chaotic Bilinear System of Lorenz Type. - Kristina Mallory; Robert A. Van Gorder (Int. J. Bifurc. Chaos, 2015)

Efficient low-error analytical-numerical approximations for radial solutions of nonlinear Laplace equations. - John Haussermann; Robert A. Van Gorder (Numer. Algorithms, 2015)

The chaotic Dadras-Momeni system: control and hyperchaotification. - Hassan Saberi Nik; Robert A. Van Gorder; Gaetana Gambino (IMA J. Math. Control. Inf., 2016)

Resonant solitons from the 3 × 3 operator. - D. J. Kaup; Robert A. Van Gorder (Math. Comput. Simul., 2016)

A space-time Legendre spectral tau method for the two-sided space-time Caputo fractional diffusion-wave equation. - Ali H. Bhrawy; Mahmoud A. Zaky; Robert A. Van Gorder (Numer. Algorithms, 2016)

Opinion formation and distribution in a bounded confidence model on various networks. - X. Flora Meng; Robert A. Van Gorder; Mason A. Porter (CoRR, 2017)

Hyperchaos from a Model of Coupled Stratosphere-Troposphere Dynamics. - Susheel Adusumilli; Robert A. Van Gorder (Int. J. Bifurc. Chaos, 2017)

On the Inverse Problem of Competitive Modes and the Search for Chaotic Dynamics. - Lewis Ruks; Robert A. Van Gorder (Int. J. Bifurc. Chaos, 2017)

Reproducing kernel method for the numerical solution of the Brinkman-Forchheimer momentum equation. - Saeid Abbasbandy; Robert A. Van Gorder; Parisa Bakhtiari (J. Comput. Appl. Math., 2017)

On the utility of the homotopy analysis method for non-analytic and global solutions to nonlinear differential equations. - Robert A. Van Gorder (Numer. Algorithms, 2017)

Reproducing kernel method for the numerical solution of the 1D Swift-Hohenberg equation. - Parisa Bakhtiari; Saeid Abbasbandy; Robert A. Van Gorder (Appl. Math. Comput., 2018)

Nonlinear dynamics of discrete time multi-level leader-follower games. - Ruijia Wu; Robert A. Van Gorder (Appl. Math. Comput., 2018)

Bifurcations and Dynamics Emergent From Lattice and Continuum Models of Bioactive Porous Media. - Andrew L. Krause; Dmitry Beliaev; Robert A. Van Gorder; Sarah L. Waters (Int. J. Bifurc. Chaos, 2018)

Chaotic Dynamics in the Planar Gravitational Many-Body Problem with Rigid Body Rotations. - James A. Kwiecinski; Attila Kovács; Andrew L. Krause; Ferran Brosa Planella; Robert A. Van Gorder (Int. J. Bifurc. Chaos, 2018)

Solving the Dym initial value problem in reproducing kernel space. - Parisa Bakhtiari; Saeid Abbasbandy; Robert A. Van Gorder (Numer. Algorithms, 2018)

Asymptotic Analysis of a Multiphase Drying Model Motivated By Coffee Bean Roasting. - Nabil T. Fadai; Colin P. Please; Robert A. Van Gorder (SIAM J. Appl. Math., 2018)

Asymptotic Analysis of a Silicon Furnace Model. - Benjamin M. Sloman; Colin P. Please; Robert A. Van Gorder (SIAM J. Appl. Math., 2018)

Chaotic Rotations of a Rigid Ellipsoidal Body Exhibiting Spin-Orbit Misalignment in a Periodic Orbit. - James A. Kwiecinski; Stanislaw W. Biber; Robert A. Van Gorder (Int. J. Bifurc. Chaos, 2019)

Optimal homotopy analysis and control of error for implicitly defined fully nonlinear differential equations. - Robert A. Van Gorder (Numer. Algorithms, 2019)

Extended Stefan Problem for Solidification of Binary Alloys in a Finite Planar Domain. - Ferran Brosa Planella; Colin P. Please; Robert A. Van Gorder (SIAM J. Appl. Math., 2019)

A Homogenization Approach for the Roasting of an Array of Coffee Beans. - Rahil Sachak-Patwa; Nabil T. Fadai; Robert A. Van Gorder (SIAM J. Appl. Math., 2019)

Homogenization of a Shrinking Core Model for Gas-Solid Reactions in Granular Particles. - Benjamin M. Sloman; Colin P. Please; Robert A. Van Gorder (SIAM J. Appl. Math., 2019)

Unstaggered-staggered solitons on one- and two-dimensional two-component discrete nonlinear Schrödinger lattices. - Robert A. Van Gorder; Andrew L. Krause; Boris A. Malomed; D. J. Kaup (Commun. Nonlinear Sci. Numer. Simul., 2020)

Modeling Microsilica Particle Formation and Growth Due to the Combustion Reaction of Silicon Monoxide With Oxygen. - Raquel González-Fariña; Andreas Münch; James M. Oliver; Robert A. Van Gorder (SIAM J. Appl. Math., 2020)

Locating the Baking Isotherm in a Søderberg Electrode: Analysis of a Moving Thermistor Model. - Robert A. Van Gorder; Alissa Kamilova; Rolf G. Birkeland; Andrew L. Krause (SIAM J. Appl. Math., 2021)