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 2021-06-01 to 2025-06-01.)

Article	Citations
Solving nonlinear boundary value problems by a boundary shape function method and a splitting and linearizing method	42
On the penetration efficiency of ceramic fragments through steel targets	30
Buoyancy driven flow characteristics inside a cavity equiped with diamond elliptic array	24
Ground state solutions of Schrödinger system with fractionalp-Laplacian	24
Reduced basis method for the nonlinear Poisson–Boltzmann equation regularized by the range-separated canonical tensor format	19
On exact solutions of fractional differential-difference equations with Ψ-Riemann–Liouville derivative	19
Frontmatter	15
Nonlinear stability and numerical simulations for a reaction–diffusion system modelling Allee effect on predators	14
A class of piecewise fractional functional differential equations with impulsive	13
A new clique polynomial approach for fractional partial differential equations	11
Model-order reduction for hyperbolic relaxation systems	11
Mathematical model of fluid flow in a double constricted tapered tube with permeable boundary	11
Switched coupled system of nonlinear impulsive Langevin equations involving Hilfer fractional-order derivatives	11
Weak and strong boundedness for p-adic fractional Hausdorff operator and its commutator	9
The simulation of two-dimensional plane problems using ordinary state-based peridynamics	8
PS and GW optimization of variable sliding gains mode control to stabilize a wind energy conversion system under the real wind in Adrar, Algeria	8
Frontmatter	7
Singularity analysis of a 7-DOF spatial hybrid manipulator for medical surgery	7
Numerical algorithm for nonlinear fractional equations with nonlocal boundary conditions based on a modified minimum residual method	7
A Chebyshev collocation method for solving the non-linear variable-order fractional Bagley–Torvik differential equation	7
Unsteady MHD free convection flow past a vertical permeable flat plate in a rotating frame of reference with constant heat source and variable thermal boundary condition in a nanofluid	6
Application of modified Mickens iteration procedure to a pendulum and the motion of a mass attached to a stretched elastic wire	6
Intelligent controller for maximum power extraction of wind generation systems using ANN	6
Extended logistic map for encryption of digital images	6
Battery discharging model on fractal time sets	6

Frequency responses for induced neural transmembrane potential by electromagnetic waves (1 kHz to 1 GHz)	6
Local and parallel stabilized finite element methods based on full domain decomposition for the stationary Stokes equations	6
A generalized stochastic SIR epidemic model with vaccination rules	6
Positive radial solutions for Dirichlet problems involving the mean curvature operator in Minkowski space	5
A (2 + 1)-dimensional variable-coefficients extension of the Date–Jimbo–Kashiwara–Miwa equation: Lie symmetry analysis, optimal system and exact solutions	5
Impacts of heuristic parameters in PSO inverse kinematics solvers	5
Higher order codimension bifurcations in a discrete-time toxic-phytoplankton–zooplankton model with Allee effect	5
A predictor–corrector compact finite difference scheme for a nonlinear partial integro-differential equation	4
Halanay inequality involving Caputo-Hadamard fractional derivative and application	4
Algebro-geometric integration of a modified shallow wave hierarchy	4
Valuation of the American put option as a free boundary problem through a high-order difference scheme	4
Anti-sway method for reducing vibrations on a tower crane structure	4
Retraction of: algebro-geometric constructions of the Heisenberg hierarchy	4
Computational analysis of heat and mass transfer in a micropolar fluid flow through a porous medium between permeable channel walls	4
Frontmatter	4
Convergence analysis of online learning algorithm with two-stage step size	4
Lie symmetry analysis for two-phase flow with mass transfer	4
Computational study of intravenous magnetic drug targeting using implanted magnetizable stent	3
Numerical study of the energy efficiency of the building envelope containing multi-alveolar structures under Tunisian weather conditions	3
Coordinated target tracking in sensor networks by maximizing mutual information	3
Bifurcation analysis of a new stochastic traffic flow model	3
Shifted Legendre spectral collocation technique for solving stochastic Volterra–Fredholm integral equations	3
Optimal control of non-instantaneous impulsive second-order stochastic McKean–Vlasov evolution system with Clarke subdifferential	3
An improvement of derivative-free point-to-point iterative processes with central divided differences	3
Frontmatter	2
Hybrid solitary wave solutions of the Camassa–Holm equation	2
Diversity of interaction phenomenon, cross-kink wave, and the bright-dark solitons for the (3 + 1)-dimensional Kadomtsev–Petviashvili–Boussinesq-like equation	2
Global dissipativity of non-autonomous BAM neural networks with mixed time-varying delays and discontinuous activations	2
Catalytic surface reaction on a vertical wavy surface placed in a non-Darcy porous medium	2
Discussion on controllability of non-densely defined Hilfer fractional neutral differential equations with finite delay	2
Frontmatter	2
Controllability of coupled fractional integrodifferential equations	2
Frontmatter	2
Solutions and stability for p-Laplacian differential problems with mixed type fractional derivatives	2
Carleman framework filtering of nonlinear noisy phase-locked loop system	2
Adaptive neural network control of second-order underactuated systems with prescribed performance constraints	2
Theoretical and numerical analysis of a prey–predator model (3-species) in the frame of generalized Mittag-Leffler law	2
Effect of moving stretching sheets on natural convection in partially heated square cavity filled with nanofluid	2
Frontmatter	2
Modeling the interaction of birds and small fish in a coastal lagoon	2
Frontmatter	2
Iterative learning control for conformable stochastic impulsive differential systems with randomly varying trial lengths	1
Wavelet collocation methods for solving neutral delay differential equations	1
Controllability discussion for fractional stochastic Volterra–Fredholm integro-differential systems of order 1 < r < 2	1
Traveling wave solutions of the generalized Rosenau–Kawahara-RLW equation via the sine–cosine method and a generalized auxiliary equation method	1
Hilfer fractional stochastic evolution equations on infinite interval	1
The Cădariu–Radu method for existence, uniqueness and Gauss Hypergeometric stability of a class of Ξ-Hilfer fractional differential equations	1
The modified Rusanov scheme for solving the phonon-Bose model	1
Interaction among a lump, periodic waves, and kink solutions to the KP-BBM equation	1
Optimal control for dengue eradication program under the media awareness effect	1

Solution of non-linear time fractional telegraph equation with source term using B-spline and Caputo derivative	1
Bifurcation, chaos, and circuit realisation of a new four-dimensional memristor system	1
New insights into singularity analysis	1
General decay projective synchronization of memristive competitive neural networks via nonlinear controller	1
Delta-shock for a class of strictly hyperbolic systems of conservation laws	1
Legendre wavelet residual approach for moving boundary problem with variable thermal physical properties	1
Adaptive control for position and force tracking of uncertain teleoperation with actuators saturation and asymmetric varying time delays	1
Slippage phenomenon in hydromagnetic peristaltic rheology with hall current and viscous dissipation	1
A second-order nonlocal regularized variational model for multiframe image super-resolution	1
Pandemic management by a spatio–temporal mathematical model	1
Frontmatter	1
Effects of mixed time delays and D operators on fixed-time synchronization of discontinuous neutral-type neural networks	1
Modeling and simulations of a Zika virus as a mosquito-borne transmitted disease with environmental fluctuations	1
A new self-adaptive inertial CQ-algorithm for solving convex feasibility and monotone inclusion problems	1
The exact Riemann solutions to an isentropic non-ideal dusty gas flow under a magnetic field	1
A fractional-order ship power system: chaos and its dynamical properties	1
Stochastic dynamics of dielectric elastomer balloon with viscoelasticity under pressure disturbance	1
Stress concentration effect on deflection and stress fields of a master leaf spring through domain decomposition and geometry updation technique	1
Multiwave interaction solutions for a (3 + 1)-dimensional B-type Kadomtsev–Petviashvili equation in fluid dynamics	1
Quantum motion control for packaging machines	1
Propagation of diffusing pollutant by kinetic flux-vector splitting method	1
Frontmatter	1
Unsteady MHD natural convection flow of a nanofluid inside an inclined square cavity containing a heated circular obstacle	1
Infinite line of equilibriums in a novel fractional map with coexisting infinitely many attractors and initial offset boosting	1