OOIR: Observatory of International Research

Papers

(The TQCC of International Journal of Nonlinear Sciences and Numerical Simulation is 3. 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 2021-05-01 to 2025-05-01.)

Article	Citations
Solving nonlinear boundary value problems by a boundary shape function method and a splitting and linearizing method	41
On the penetration efficiency of ceramic fragments through steel targets	28
Adaptive level set method applied to drag minimization problems constrained by Stokes equations	24
Buoyancy driven flow characteristics inside a cavity equiped with diamond elliptic array	20
Ground state solutions of Schrödinger system with fractionalp-Laplacian	19
On exact solutions of fractional differential-difference equations with Ψ-Riemann–Liouville derivative	18
Reduced basis method for the nonlinear Poisson–Boltzmann equation regularized by the range-separated canonical tensor format	15
Frontmatter	14
Model-order reduction for hyperbolic relaxation systems	13
A class of piecewise fractional functional differential equations with impulsive	11
Nonlinear stability and numerical simulations for a reaction–diffusion system modelling Allee effect on predators	11
A new clique polynomial approach for fractional partial differential equations	11
Switched coupled system of nonlinear impulsive Langevin equations involving Hilfer fractional-order derivatives	9
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	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	7
Weak and strong boundedness for p-adic fractional Hausdorff operator and its commutator	7
Frontmatter	6
Battery discharging model on fractal time sets	6
Local and parallel stabilized finite element methods based on full domain decomposition for the stationary Stokes equations	6
Application of modified Mickens iteration procedure to a pendulum and the motion of a mass attached to a stretched elastic wire	6
Extended logistic map for encryption of digital images	6
Numerical algorithm for nonlinear fractional equations with nonlocal boundary conditions based on a modified minimum residual method	6
Singularity analysis of a 7-DOF spatial hybrid manipulator for medical surgery	6
A Chebyshev collocation method for solving the non-linear variable-order fractional Bagley–Torvik differential equation	6

An estimative (warning) model for recognition of pandemic nature of virus infections	5
Impacts of heuristic parameters in PSO inverse kinematics solvers	5
Frequency responses for induced neural transmembrane potential by electromagnetic waves (1 kHz to 1 GHz)	5
Intelligent controller for maximum power extraction of wind generation systems using ANN	5
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	5
A (2 + 1)-dimensional variable-coefficients extension of the Date–Jimbo–Kashiwara–Miwa equation: Lie symmetry analysis, optimal system and exact solutions	4
Higher order codimension bifurcations in a discrete-time toxic-phytoplankton–zooplankton model with Allee effect	4
Frontmatter	4
Valuation of the American put option as a free boundary problem through a high-order difference scheme	4
A predictor–corrector compact finite difference scheme for a nonlinear partial integro-differential equation	4
A generalized stochastic SIR epidemic model with vaccination rules	4
Positive radial solutions for Dirichlet problems involving the mean curvature operator in Minkowski space	4
Halanay inequality involving Caputo-Hadamard fractional derivative and application	4
Lie symmetry analysis for two-phase flow with mass transfer	3
Anti-sway method for reducing vibrations on a tower crane structure	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
Algebro-geometric integration of a modified shallow wave hierarchy	3
Shifted Legendre spectral collocation technique for solving stochastic Volterra–Fredholm integral equations	3
An improvement of derivative-free point-to-point iterative processes with central divided differences	3
Computational study of intravenous magnetic drug targeting using implanted magnetizable stent	3
Retraction of: algebro-geometric constructions of the Heisenberg hierarchy	3
Computational analysis of heat and mass transfer in a micropolar fluid flow through a porous medium between permeable channel walls	3
Convergence analysis of online learning algorithm with two-stage step size	3
Bifurcation analysis of a new stochastic traffic flow model	3