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 2021-03-01 to 2025-03-01.)

Article	Citations
Diversity of interaction phenomenon, cross-kink wave, and the bright-dark solitons for the (3 + 1)-dimensional Kadomtsev–Petviashvili–Boussinesq-like equation	68
Studies on population balance equation involving aggregation and growth terms via symmetries	41
On successive linearization method for differential equations with nonlinear conditions	25
Improving the dynamic behavior of the plate under supersonic air flow by using nonlinear energy sink	20
Frontmatter	18
Modeling and assessment of the flow and air pollutants dispersion during chemical reactions from power plant activities	18
On the penetration efficiency of ceramic fragments through steel targets	17
Dihedral group and classification of G-circuits of length 10	17
Solving nonlinear boundary value problems by a boundary shape function method and a splitting and linearizing method	15
On exact solutions of fractional differential-difference equations with Ψ-Riemann–Liouville derivative	15
Modelling and numerical synchronization of chaotic system with fractional-order operator	13
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
Microcontroller-based simulation of a nonlinear resistive-capacitive-inductance shunted Josephson junction model and applications in electromechanical engineering	11
Stochastic dynamics of dielectric elastomer balloon with viscoelasticity under pressure disturbance	11
Graphical structure of extended b-metric spaces: an application to the transverse oscillations of a homogeneous bar	9
Buoyancy driven flow characteristics inside a cavity equiped with diamond elliptic array	9
Modeling and fault identification of the gear tooth surface wear failure system	9
Impacts of heuristic parameters in PSO inverse kinematics solvers	8
Corrigendum to: numerical modeling of thermal influence to pollutant dispersion and dynamics of particles motion with various sizes in idealized street canyon	7
The twin properties of rogue waves and homoclinic solutions for some nonlinear wave equations	6
Riemann problem and limits of solutions to the isentropic relativistic Euler equations for isothermal gas with flux approximation	6
Fast interaction of Cu²⁺ with S₂O₃ ²⁻ in aqueous solution	6
Electrostatically actuated double walled piezoelectric nanoshell subjected to nonlinear van der Waals effect: nonclassical vibrations and stability analysis	6
Adaptive level set method applied to drag minimization problems constrained by Stokes equations	5

Adaptive control for position and force tracking of uncertain teleoperation with actuators saturation and asymmetric varying time delays	5
Frontmatter	5
A new generalized approach to study the existence of solutions of nonlinear fractional boundary value problems	5
Numerical modeling of the dam-break flood over natural rivers on movable beds	5
Frontmatter	5
An analysis on approximate controllability of Atangana–Baleanu fractional semilinear control systems	5
Delta-shock for a class of strictly hyperbolic systems of conservation laws	4
Halanay inequality involving Caputo-Hadamard fractional derivative and application	4
Modeling the interaction of birds and small fish in a coastal lagoon	4
Frontmatter	4
A generalized stochastic SIR epidemic model with vaccination rules	4
Higher order codimension bifurcations in a discrete-time toxic-phytoplankton–zooplankton model with Allee effect	4
Catalytic surface reaction on a vertical wavy surface placed in a non-Darcy porous medium	4
Valuation of the American put option as a free boundary problem through a high-order difference scheme	4
Global dissipativity of non-autonomous BAM neural networks with mixed time-varying delays and discontinuous activations	4
Hilfer fractional stochastic evolution equations on infinite interval	4
A (2 + 1)-dimensional variable-coefficients extension of the Date–Jimbo–Kashiwara–Miwa equation: Lie symmetry analysis, optimal system and exact solutions	4
Legendre wavelet residual approach for moving boundary problem with variable thermal physical properties	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
A fractional-order ship power system: chaos and its dynamical properties	4
Ground state solutions of Schrödinger system with fractionalp-Laplacian	4
Controllability discussion for fractional stochastic Volterra–Fredholm integro-differential systems of order 1 < r < 2	4
An efficient class of fourth-order derivative-free method for multiple-roots	3
Theoretical assessment of the impact of awareness programs on cholera transmission dynamic	3
Reduced basis method for the nonlinear Poisson–Boltzmann equation regularized by the range-separated canonical tensor format	3
Mathematical analysis of the impact of vaccination and poor sanitation on the dynamics of poliomyelitis	3
Analysis and numerical effects of time-delayed rabies epidemic model with diffusion	3
A new clique polynomial approach for fractional partial differential equations	3
Carleman framework filtering of nonlinear noisy phase-locked loop system	3
Effects of uniform or non-uniform heating at bottom wall on MHD mixed convection in a porous cavity saturated by nanofluid	3
Computational analysis of heat and mass transfer in a micropolar fluid flow through a porous medium between permeable channel walls	3
Switched coupled system of nonlinear impulsive Langevin equations involving Hilfer fractional-order derivatives	3
Frontmatter	3
Numerical modeling of thermal influence to pollutant dispersion and dynamics of particles motion with various sizes in idealized street canyon	3
Nonlinear stability and numerical simulations for a reaction–diffusion system modelling Allee effect on predators	3
Model-order reduction for hyperbolic relaxation systems	3
Shehu transform on time-fractional Schrödinger equations – an analytical approach	3
Study on the coupling calculation model of dump flooding in Hala-hatang fracture-cavity reservoir	2
Unsteady MHD natural convection flow of a nanofluid inside an inclined square cavity containing a heated circular obstacle	2
Dynamic characteristics of supersonic turbulent free jets from four types of circular nozzles	2
Anti-sway method for reducing vibrations on a tower crane structure	2
Algebro-geometric integration of a modified shallow wave hierarchy	2
The exact Riemann solutions to an isentropic non-ideal dusty gas flow under a magnetic field	2
Wavelet collocation methods for solving neutral delay differential equations	2
Higher order approximation of biharmonic problem using the WEB-Spline based mesh-free method	2
A predictor–corrector compact finite difference scheme for a nonlinear partial integro-differential equation	2
Collision-induced amplitude dynamics of pulses in linear waveguides with the generic nonlinear loss	2
General decay projective synchronization of memristive competitive neural networks via nonlinear controller	2
Stochastic models with multiplicative noise for economic inequality and mobility	2

On the dynamics and control of a new fractional difference chaotic map	2
Frontmatter	2
Rational soliton solutions in the nonlocal coupled complex modified Korteweg–de Vries equations	2
A class of piecewise fractional functional differential equations with impulsive	2
Parameter inference with analytical propagators for stochastic models of autoregulated gene expression	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
Mathematical model of fluid flow in a double constricted tapered tube with permeable boundary	2
Retraction of: algebro-geometric constructions of the Heisenberg hierarchy	2
Application of moving least squares algorithm for solving systems of Volterra integral equations	2
Quantum motion control for packaging machines	2
Feedback control of a nonlinear aeroelastic system with non-semi-simple eigenvalues at the critical point of Hopf bifurcation	2
A priori error estimates for finite element approximations to transient convection-diffusion-reaction equations in fluidized beds	2
N-soliton solutions and the Hirota conditions in (1 + 1)-dimensions	2
Null controllability of Hilfer fractional stochastic integrodifferential equations with noninstantaneous impulsive and Poisson jump	2
Novel periodic and optical soliton solutions for Davey–Stewartson system by generalized Jacobi elliptic expansion method	2
Limit cycles in a tritrophic food chain model with general functional responses	1
Convergence analysis of online learning algorithm with two-stage step size	1
Simulation of the crystallization processes by population balance model using a linear separation method	1
Dynamics of synthetic drug transmission models	1
Iterative learning control for conformable stochastic impulsive differential systems with randomly varying trial lengths	1
Stability with mixed H _∞/passivity performance analysis of fractional-order neutral delayed Markovian jumping neural networks	1
Stability analysis of nonlinear impulsive switched positive systems	1
Optimal control of non-instantaneous impulsive second-order stochastic McKean–Vlasov evolution system with Clarke subdifferential	1
Coordinated target tracking in sensor networks by maximizing mutual information	1
Stable soliton solutions to the time fractional evolution equations in mathematical physics via the new generalized G ′ / G $\left({\boldsymbol{G}}^{\prime }/\boldsymbol{G}\right)$ -expansion metho	1
Numerical solution of highly non-linear fractional order reaction advection diffusion equation using the cubic B-spline collocation method	1
The simulation of two-dimensional plane problems using ordinary state-based peridynamics	1
Robust optimization of multistage process: response surface and multi-response optimization approaches	1
Dissipativity analysis of delayed stochastic generalized neural networks with Markovian jump parameters	1
Frontmatter	1
Interaction among a lump, periodic waves, and kink solutions to the KP-BBM equation	1
A new self-adaptive inertial CQ-algorithm for solving convex feasibility and monotone inclusion problems	1
Modeling and simulations of a Zika virus as a mosquito-borne transmitted disease with environmental fluctuations	1
An improvement of derivative-free point-to-point iterative processes with central divided differences	1
Modeling the spatiotemporal intracellular calcium dynamics in nerve cell with strong memory effects	1
Optimal control for dengue eradication program under the media awareness effect	1
Numerical simulations of wave propagation in a stochastic partial differential equation model for tumor–immune interactions	1
Numerical simulation for generalized space-time fractional Klein–Gordon equations via Gegenbauer wavelet	1
Frontmatter	1
Solvability and stability of nonlinear hybrid ∆-difference equations of fractional-order	1
Bifurcation, chaos, and circuit realisation of a new four-dimensional memristor system	1
New insights into singularity analysis	1
Fractional-order generalized Legendre wavelets and their applications to fractional Riccati differential equations	1
Hypergeometric fractional derivatives formula of shifted Chebyshev polynomials: tau algorithm for a type of fractional delay differential equations	1
Construction of breather solutions and N-soliton for the higher order dimensional Caudrey–Dodd–Gibbon–Sawada–Kotera equation arising from wave patterns	1
Weak and strong boundedness for p-adic fractional Hausdorff operator and its commutator	1
Frontmatter	1
Investigating existence results for fractional evolution inclusions with order r ∈ (1, 2) in Banach space	1
Effect of outlet impeller diameter on performance prediction of centrifugal pump under single-phase and cavitation flow conditions	1
Computational study of intravenous magnetic drug targeting using implanted magnetizable stent	1
Numerical algorithm for nonlinear fractional equations with nonlocal boundary conditions based on a modified minimum residual method	1
Numerical study of the energy efficiency of the building envelope containing multi-alveolar structures under Tunisian weather conditions	1
Adaptive neural network control of second-order underactuated systems with prescribed performance constraints	1
Bifurcation analysis of a new stochastic traffic flow model	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