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 2021-08-01 to 2025-08-01.)

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	20
On exact solutions of fractional differential-difference equations with Ψ-Riemann–Liouville derivative	19
Reduced basis method for the nonlinear Poisson–Boltzmann equation regularized by the range-separated canonical tensor format	15
Nonlinear stability and numerical simulations for a reaction–diffusion system modelling Allee effect on predators	12
Frontmatter	12
A class of piecewise fractional functional differential equations with impulsive	11
Switched coupled system of nonlinear impulsive Langevin equations involving Hilfer fractional-order derivatives	9
Model-order reduction for hyperbolic relaxation systems	9
A new clique polynomial approach for fractional partial differential equations	9
Weak and strong boundedness for p-adic fractional Hausdorff operator and its commutator	8
Mathematical model of fluid flow in a double constricted tapered tube with permeable boundary	8
The simulation of two-dimensional plane problems using ordinary state-based peridynamics	7
Numerical algorithm for nonlinear fractional equations with nonlocal boundary conditions based on a modified minimum residual method	7
PS and GW optimization of variable sliding gains mode control to stabilize a wind energy conversion system under the real wind in Adrar, Algeria	7
Frontmatter	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
Extended logistic map for encryption of digital images	6
Application of modified Mickens iteration procedure to a pendulum and the motion of a mass attached to a stretched elastic wire	6
A Chebyshev collocation method for solving the non-linear variable-order fractional Bagley–Torvik differential equation	6
Frequency responses for induced neural transmembrane potential by electromagnetic waves (1 kHz to 1 GHz)	6
Singularity analysis of a 7-DOF spatial hybrid manipulator for medical surgery	6
Intelligent controller for maximum power extraction of wind generation systems using ANN	6

A generalized stochastic SIR epidemic model with vaccination rules	5
A (2 + 1)-dimensional variable-coefficients extension of the Date–Jimbo–Kashiwara–Miwa equation: Lie symmetry analysis, optimal system and exact solutions	5
Positive radial solutions for Dirichlet problems involving the mean curvature operator in Minkowski space	5
Higher order codimension bifurcations in a discrete-time toxic-phytoplankton–zooplankton model with Allee effect	5
Frontmatter	5
Impacts of heuristic parameters in PSO inverse kinematics solvers	5
A predictor–corrector compact finite difference scheme for a nonlinear partial integro-differential equation	5
Computational analysis of heat and mass transfer in a micropolar fluid flow through a porous medium between permeable channel walls	4
Halanay inequality involving Caputo-Hadamard fractional derivative and application	4
Retraction of: algebro-geometric constructions of the Heisenberg 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	3
An improvement of derivative-free point-to-point iterative processes with central divided differences	3
Optimal control of non-instantaneous impulsive second-order stochastic McKean–Vlasov evolution system with Clarke subdifferential	3
Lie symmetry analysis for two-phase flow with mass transfer	3
Convergence analysis of online learning algorithm with two-stage step size	3
Bifurcation analysis of a new stochastic traffic flow model	3
Algebro-geometric integration of a modified shallow wave hierarchy	3
Computational study of intravenous magnetic drug targeting using implanted magnetizable stent	3
Global dissipativity of non-autonomous BAM neural networks with mixed time-varying delays and discontinuous activations	2
Coordinated target tracking in sensor networks by maximizing mutual information	2
Frontmatter	2
Frontmatter	2
Frontmatter	2
Solutions and stability for p-Laplacian differential problems with mixed type fractional derivatives	2
Hybrid solitary wave solutions of the Camassa–Holm equation	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
Discussion on controllability of non-densely defined Hilfer fractional neutral differential equations with finite delay	2
Frontmatter	2
Effect of moving stretching sheets on natural convection in partially heated square cavity filled with nanofluid	2
Numerical study of the energy efficiency of the building envelope containing multi-alveolar structures under Tunisian weather conditions	2
Frontmatter	2
Controllability of coupled fractional integrodifferential equations	2
Diversity of interaction phenomenon, cross-kink wave, and the bright-dark solitons for the (3 + 1)-dimensional Kadomtsev–Petviashvili–Boussinesq-like equation	2
Frontmatter	1
Interaction among a lump, periodic waves, and kink solutions to the KP-BBM equation	1
Pandemic management by a spatio–temporal mathematical model	1
General decay projective synchronization of memristive competitive neural networks via nonlinear controller	1
Hilfer fractional stochastic evolution equations on infinite interval	1
Traveling wave solutions of the generalized Rosenau–Kawahara-RLW equation via the sine–cosine method and a generalized auxiliary equation method	1
Adaptive control for position and force tracking of uncertain teleoperation with actuators saturation and asymmetric varying time delays	1
Multiwave interaction solutions for a (3 + 1)-dimensional B-type Kadomtsev–Petviashvili equation in fluid dynamics	1
Optimal control for dengue eradication program under the media awareness effect	1
Quantum motion control for packaging machines	1
Carleman framework filtering of nonlinear noisy phase-locked loop system	1
A second-order nonlocal regularized variational model for multiframe image super-resolution	1
A new self-adaptive inertial CQ-algorithm for solving convex feasibility and monotone inclusion problems	1
Delta-shock for a class of strictly hyperbolic systems of conservation laws	1
A fractional-order ship power system: chaos and its dynamical properties	1

Effects of mixed time delays and D operators on fixed-time synchronization of discontinuous neutral-type neural networks	1
The modified Rusanov scheme for solving the phonon-Bose model	1
Frontmatter	1
Modeling and simulations of a Zika virus as a mosquito-borne transmitted disease with environmental fluctuations	1
Catalytic surface reaction on a vertical wavy surface placed in a non-Darcy porous medium	1
The Cădariu–Radu method for existence, uniqueness and Gauss Hypergeometric stability of a class of Ξ-Hilfer fractional differential equations	1
Iterative learning control for conformable stochastic impulsive differential systems with randomly varying trial lengths	1
Legendre wavelet residual approach for moving boundary problem with variable thermal physical properties	1
Controllability discussion for fractional stochastic Volterra–Fredholm integro-differential systems of order 1 < r < 2	1
Stress concentration effect on deflection and stress fields of a master leaf spring through domain decomposition and geometry updation technique	1
Propagation of diffusing pollutant by kinetic flux-vector splitting method	1
Bifurcation, chaos, and circuit realisation of a new four-dimensional memristor system	1