OOIR: Observatory of International Research

Papers

(The TQCC of International Journal of Nonlinear Sciences and Numerical Simulation is 4. 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
Ground state solutions of Schrödinger system with fractionalp-Laplacian	24
Buoyancy driven flow characteristics inside a cavity equiped with diamond elliptic array	24
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	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
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
A new clique polynomial approach for fractional partial differential equations	11
Weak and strong boundedness for p-adic fractional Hausdorff operator and its commutator	9
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
The simulation of two-dimensional plane problems using ordinary state-based peridynamics	8
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
Frontmatter	7
Singularity analysis of a 7-DOF spatial hybrid manipulator for medical surgery	7
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
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
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
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
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
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