OOIR: Observatory of International Research

Papers

(The median citation count of International Journal of Nonlinear Sciences and Numerical Simulation is 1. The table below lists those papers that are above that threshold based on CrossRef citation counts [max. 250 papers]. The publications cover those that have been published in the past four years, i.e., from 2021-04-01 to 2025-04-01.)

Article	Citations
Diversity of interaction phenomenon, cross-kink wave, and the bright-dark solitons for the (3 + 1)-dimensional Kadomtsev–Petviashvili–Boussinesq-like equation	41
Improving the dynamic behavior of the plate under supersonic air flow by using nonlinear energy sink	26
Modeling and assessment of the flow and air pollutants dispersion during chemical reactions from power plant activities	23
Frontmatter	22
Dihedral group and classification of G-circuits of length 10	20
On the penetration efficiency of ceramic fragments through steel targets	18
On exact solutions of fractional differential-difference equations with Ψ-Riemann–Liouville derivative	15
Solving nonlinear boundary value problems by a boundary shape function method and a splitting and linearizing method	15
Solving calculus of variation problems via multiquadric radial basis function method with optimal shape parameter	13
Traveling wave solutions of the generalized Rosenau–Kawahara-RLW equation via the sine–cosine method and a generalized auxiliary equation method	11
Buoyancy driven flow characteristics inside a cavity equiped with diamond elliptic array	11
Impacts of heuristic parameters in PSO inverse kinematics solvers	11
Stochastic dynamics of dielectric elastomer balloon with viscoelasticity under pressure disturbance	11
Corrigendum to: numerical modeling of thermal influence to pollutant dispersion and dynamics of particles motion with various sizes in idealized street canyon	9
Frontmatter	8
Electrostatically actuated double walled piezoelectric nanoshell subjected to nonlinear van der Waals effect: nonclassical vibrations and stability analysis	8
Adaptive level set method applied to drag minimization problems constrained by Stokes equations	7
Numerical modeling of the dam-break flood over natural rivers on movable beds	6
Hilfer fractional stochastic evolution equations on infinite interval	6
A new generalized approach to study the existence of solutions of nonlinear fractional boundary value problems	6
Adaptive control for position and force tracking of uncertain teleoperation with actuators saturation and asymmetric varying time delays	6
Frontmatter	6
An analysis on approximate controllability of Atangana–Baleanu fractional semilinear control systems	6
Controllability discussion for fractional stochastic Volterra–Fredholm integro-differential systems of order 1 < r < 2	6
A generalized stochastic SIR epidemic model with vaccination rules	5

Microcontroller-based simulation of a nonlinear resistive-capacitive-inductance shunted Josephson junction model and applications in electromechanical engineering	5
Higher order codimension bifurcations in a discrete-time toxic-phytoplankton–zooplankton model with Allee effect	5
Legendre wavelet residual approach for moving boundary problem with variable thermal physical properties	5
A (2 + 1)-dimensional variable-coefficients extension of the Date–Jimbo–Kashiwara–Miwa equation: Lie symmetry analysis, optimal system and exact solutions	5
Ground state solutions of Schrödinger system with fractionalp-Laplacian	5
Graphical structure of extended b-metric spaces: an application to the transverse oscillations of a homogeneous bar	4
Null controllability of Hilfer fractional stochastic integrodifferential equations with noninstantaneous impulsive and Poisson jump	4
Solutions and stability for p-Laplacian differential problems with mixed type fractional derivatives	4
Positive radial solutions for Dirichlet problems involving the mean curvature operator in Minkowski space	4
Modelling and numerical synchronization of chaotic system with fractional-order operator	4
Numerical modeling of thermal influence to pollutant dispersion and dynamics of particles motion with various sizes in idealized street canyon	4
An efficient class of fourth-order derivative-free method for multiple-roots	4
Theoretical assessment of the impact of awareness programs on cholera transmission dynamic	4
Catalytic surface reaction on a vertical wavy surface placed in a non-Darcy porous medium	4
Delta-shock for a class of strictly hyperbolic systems of conservation laws	4
Frontmatter	4
Valuation of the American put option as a free boundary problem through a high-order difference scheme	4
Analysis and numerical effects of time-delayed rabies epidemic model with diffusion	3
Frontmatter	3
The exact Riemann solutions to an isentropic non-ideal dusty gas flow under a magnetic field	3
Effects of uniform or non-uniform heating at bottom wall on MHD mixed convection in a porous cavity saturated by nanofluid	3
Global dissipativity of non-autonomous BAM neural networks with mixed time-varying delays and discontinuous activations	3
Mathematical analysis of the impact of vaccination and poor sanitation on the dynamics of poliomyelitis	3
A fractional-order ship power system: chaos and its dynamical properties	3
A class of piecewise fractional functional differential equations with impulsive	3
Modeling the interaction of birds and small fish in a coastal lagoon	3
Computational analysis of heat and mass transfer in a micropolar fluid flow through a porous medium between permeable channel walls	3
Shehu transform on time-fractional Schrödinger equations – an analytical approach	3
Nonlinear stability and numerical simulations for a reaction–diffusion system modelling Allee effect on predators	3
A predictor–corrector compact finite difference scheme for a nonlinear partial integro-differential equation	2
Reduced basis method for the nonlinear Poisson–Boltzmann equation regularized by the range-separated canonical tensor format	2
A new clique polynomial approach for fractional partial differential equations	2
Frontmatter	2
Lie symmetry analysis for two-phase flow with mass transfer	2
Shifted Legendre spectral collocation technique for solving stochastic Volterra–Fredholm integral equations	2
Higher order approximation of biharmonic problem using the WEB-Spline based mesh-free method	2
Rational soliton solutions in the nonlocal coupled complex modified Korteweg–de Vries equations	2
Switched coupled system of nonlinear impulsive Langevin equations involving Hilfer fractional-order derivatives	2
A priori error estimates for finite element approximations to transient convection-diffusion-reaction equations in fluidized beds	2
Wavelet collocation methods for solving neutral delay differential equations	2
Parameter inference with analytical propagators for stochastic models of autoregulated gene expression	2
Quantum motion control for packaging machines	2
Algebro-geometric integration of a modified shallow wave hierarchy	2
General decay projective synchronization of memristive competitive neural networks via nonlinear controller	2
Carleman framework filtering of nonlinear noisy phase-locked loop system	2
Model-order reduction for hyperbolic relaxation systems	2
Halanay inequality involving Caputo-Hadamard fractional derivative and application	2
Mathematical model of fluid flow in a double constricted tapered tube with permeable boundary	2
Anti-sway method for reducing vibrations on a tower crane structure	2
Dynamic characteristics of supersonic turbulent free jets from four types of circular nozzles	2

Iterative learning control for conformable stochastic impulsive differential systems with randomly varying trial lengths	1
Convergence analysis of online learning algorithm with two-stage step size	1
Frontmatter	1
On the dynamics and control of a new fractional difference chaotic map	1
Simulation of the crystallization processes by population balance model using a linear separation method	1
Fractional-order generalized Legendre wavelets and their applications to fractional Riccati differential equations	1
Bifurcation analysis of a new stochastic traffic flow model	1
Computational study of intravenous magnetic drug targeting using implanted magnetizable stent	1
Robust optimization of multistage process: response surface and multi-response optimization approaches	1
Numerical study of the energy efficiency of the building envelope containing multi-alveolar structures under Tunisian weather conditions	1
Numerical algorithm for nonlinear fractional equations with nonlocal boundary conditions based on a modified minimum residual method	1
Interaction among a lump, periodic waves, and kink solutions to the KP-BBM equation	1
Novel periodic and optical soliton solutions for Davey–Stewartson system by generalized Jacobi elliptic expansion method	1
Retraction of: algebro-geometric constructions of the Heisenberg hierarchy	1
Weak and strong boundedness for p-adic fractional Hausdorff operator and its commutator	1
Stochastic models with multiplicative noise for economic inequality and mobility	1
Frontmatter	1
Effect of outlet impeller diameter on performance prediction of centrifugal pump under single-phase and cavitation flow conditions	1
Coordinated target tracking in sensor networks by maximizing mutual information	1
Optimal control of non-instantaneous impulsive second-order stochastic McKean–Vlasov evolution system with Clarke subdifferential	1
Numerical simulation for generalized space-time fractional Klein–Gordon equations via Gegenbauer wavelet	1
Bifurcation, chaos, and circuit realisation of a new four-dimensional memristor system	1
Frontmatter	1
The simulation of two-dimensional plane problems using ordinary state-based peridynamics	1
PS and GW optimization of variable sliding gains mode control to stabilize a wind energy conversion system under the real wind in Adrar, Algeria	1
A new self-adaptive inertial CQ-algorithm for solving convex feasibility and monotone inclusion problems	1
Collision-induced amplitude dynamics of pulses in linear waveguides with the generic nonlinear loss	1
Unsteady MHD natural convection flow of a nanofluid inside an inclined square cavity containing a heated circular obstacle	1
Adaptive neural network control of second-order underactuated systems with prescribed performance constraints	1
Numerical simulations of wave propagation in a stochastic partial differential equation model for tumor–immune interactions	1
Stability analysis of nonlinear impulsive switched positive systems	1
New insights into singularity analysis	1
Numerical solution of highly non-linear fractional order reaction advection diffusion equation using the cubic B-spline collocation method	1
An improvement of derivative-free point-to-point iterative processes with central divided differences	1
Modeling and simulations of a Zika virus as a mosquito-borne transmitted disease with environmental fluctuations	1
Solvability and stability of nonlinear hybrid ∆-difference equations of fractional-order	1