OOIR: Observatory of International Research

Papers

(The TQCC of Journal of Mathematical Chemistry 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 2020-04-01 to 2024-04-01.)

Article	Citations
Homotopy perturbation method for Fangzhu oscillator	110
Homotopy perturbation method with three expansions	71
He–Laplace variational iteration method for solving the nonlinear equations arising in chemical kinetics and population dynamics	53
A gecko-like fractal receptor of a three-dimensional printing technology: a fractal oscillator	44
Extremal values of the Sombor index in unicyclic and bicyclic graphs	39
Sombor index: review of extremal results and bounds	30
Solving nonlinear reaction–diffusion problem in electrostatic interaction with reaction-generated pH change on the kinetics of immobilized enzyme systems using Taylor series method	27
Steady-state concentrations of carbon dioxide absorbed into phenyl glycidyl ether solutions by residual method	24
Atom-bond sum-connectivity index	21
Graph entropies, enumeration of circuits, walks and topological properties of three classes of isoreticular metal organic frameworks	21
Belousov-Zhabotinsky type reactions: the non-linear behavior of chemical systems	19
Extremal catacondensed benzenoids with respect to the Mostar index	17
A fundamental approach to compute atomic electrophilicity index	14
Highly accurate numerical solution of Hartree–Fock equation with pseudospectral method for closed-shell atoms	13
Fractal equation of motion of a non-Gaussian polymer chain: investigating its dynamic fractal response using an ancient Chinese algorithm.	12
A uniformly convergent quadratic B-spline collocation method for singularly perturbed parabolic partial differential equations with two small parameters	12
Full in phase finite difference algorithm for differential equations in quantum chemistry	12
Matrix elements of unitary group generators in many-fermion correlation problem. I. tensorial approaches	12
Derivative NMR spectroscopy for J-coupled multiplet resonances using short time signals (0.5 KB) encoded at low magnetic field strengths (1.5T). Part I: water suppressed	11
A Bessel collocation method for solving Bratu’s problem	11
Theoretical prediction for thermoelastic properties of carbon nanotubes (CNTs) at different pressure or compression using equation of states	10
Richardson-Gaudin geminal wavefunctions in a Slater determinant basis	10
Discretization, bifurcation analysis and chaos control for Schnakenberg model	10
Matrix elements of unitary group generators in many-fermion correlation problem. II. Graphical methods of spin algebras	10
Derivative NMR Spectroscopy for J-Coupled Multiplet Resonances using Short Time Signals (0.5KB) Encoded at Low Magnetic Field Strengths (1.5T). Part II: Water Unsuppressed	10

Mathematical exploration on control of bifurcation for a plankton–oxygen dynamical model owning delay	9
Eigensolution of the Klein–Gordon equation for modified Yukawa–Kratzer potential and its applications using parametric Nikiforov–Uvarov and SUSYQM method	9
On classes of reaction networks and their associated polynomial dynamical systems	8
Spectral properties of inverse sum indeg index of graphs	8
In vivo derivative NMR spectroscopy for simultaneous improvements of resolution and signal-to-noise-ratio: Case study, Glioma	8
The two-step exponential decay reaction network: analysis of the solutions and relation to epidemiological SIR models with logistic and Gompertz type infection contact patterns	8
A precise, simple and general Basic Le Châtelier Principle based on elementary calculus: What Le Châtelier had in mind?	8
Generalized scalar products in Minkowski metric spaces	8
A phase-fitting, first, second and third derivatives phase-fitting singularly P-stable economical two-step method for problems in quantum chemistry	8
Two-point resistances in the generalized phenylenes	8
In vitro proton magnetic resonance spectroscopy at 14T for benign and malignant ovary: Part I, signal processing by the nonparametric fast Padé transform	8
Optimization of hyperparameters of Gaussian process regression with the help of а low-order high-dimensional model representation: application to a potential energy surface	8
Numerical solution of system of Emden-Fowler type equations by Bernstein collocation method	8
A Phase-Fitting Singularly P-Stable Cost-Effective Two-Step Method for Solving Chemistry Problems	7
Analysis of solutions of time-dependent Schrödinger equation of a particle trapped in a spherical box	7
Modelling carbon nanocones for selective filter	7
An efficient operational matrix technique to solve the fractional order non-local boundary value problems	7
Total cross sections in five methods for two-electron capture by alpha particles from helium: CDW-4B, BDW-4B, BCIS-4B, CDW-EIS-4B and CB1-4B	7
Fuzzy Hypercubes and their time-like evolution	7
Shadows’ hypercube, vector spaces, and non-linear optimization of QSPR procedures	7
High-resolution at 3T for in vivo derivative NMR spectroscopy in medical diagnostics of ovarian tumor: exact quantification by shape estimations	7
mad-GP: automatic differentiation of Gaussian processes for molecules and materials	7
Knot theory for proteins: Gauss codes, quandles and bondles	7
q-Rényi’s entropy as a possible measure of electron correlation	7
Molecular device design based on chemical reaction networks: state feedback controller, static pre-filter, addition gate control system and full-dimensional state observer	7
A phase-fitting, first and second derivatives phase-fitting singularly P-stable economical two-step method for problems in chemistry	7
Analytic properties of sextet polynomials of hexagonal systems	6
On an alternative formulation of the thermodynamic stability condition	6
Determination of unknown molecular properties in molecular spaces	6
The new class of multistep multiderivative hybrid methods for the numerical solution of chemical stiff systems of first order IVPs	6
A block diagonalization based algorithm for the determinants of block k-tridiagonal matrices	6
A two-step singularly P-stable method with high phase and large stability properties for problems in chemistry	6
Packing stars in fullerenes	6
Method for calculating material balance of complex process flowcharts	6
Relations between the general sum connectivity index and the line graph	6
Biochemical and phylogenetic networks-I: hypertrees and corona products	6
Atomic electronegativity based on hardness and floating spherical gaussian orbital approach	6
A quartic trigonometric B-spline collocation method for a general class of nonlinear singular boundary value problems	6
Relation between geometric–arithmetic and arithmetic–geometric indices	6
A phase-fitting and first derivative phase-fitting singularly P-stable economical two-step method for problems in quantum chemistry	6
In vitro proton magnetic resonance spectroscopy at 14T for benign and malignant ovary: Part II, Signal processing by the parametric fast Padé transform	5
Positive equilibria of Hill-type kinetic systems	5
A quantum similarity discussion about Einstein–Podolsky–Rosen (EPR) paradox in Gaussian enfolded spaces	5
Domination number of catacondensed hexagonal systems	5
Deficiency zero for random reaction networks under a stochastic block model framework	5
Solution of the modified Yukawa–Kratzer potential under influence of the external fields and its thermodynamic properties	5
An efficient operational matrix approach for the solutions of Burgers' and fractional Burgers' equations using wavelets	5
Extended Minkowski spaces, zero norms, and Minkowski hypersurfaces	5
Topological indices and entropies of triangular and rhomboidal tessellations of kekulenes with applications to NMR and ESR spectroscopies	5
Induced H-packing k-partition number for certain nanotubes and chemical graphs	5

An iterative technique for solving a class of local and nonlocal elliptic boundary value problems	5
Numerical verification of the orders of accuracy of truncated asymptotic expansion solutions to the van der Pol equation	4
Smeared Coulomb potential orbitals: I—asymptotic expansion	4
Minimum-uncertainty coherent states of the hyperbolic and trigonometric Rosen–Morse oscillators	4
Analytical Solutions of the Molecular Kratzer-Feus potential by means of the Nikiforov-Uvarov Method	4
Compressing multireference character of wave functions via fermionic mode optimization	4
An efficient numerical approach for solving a general class of nonlinear singular boundary value problems	4
Theoretical model for the prediction of lattice energy of diatomic metal halides	4
Persistence and stability of a class of kinetic compartmental models	4
Spatiotemporal complexity in a diffusive Brusselator model	4
Phase fitted method for quantum chemistry problems	4
Critical scaling of lattice polymers confined to a box without endpoint restriction	4
Complete in phase method for problems in chemistry	4
A new implicit high-order six-step singularly P-stable method for the numerical solution of Schrödinger equation	4
On the information balance in a simple chemical process	4
Comparative study on structural sensitivity of eigenvalue–based molecular descriptors	4
Semi-exact solutions of sextic potential plus a centrifugal term	4
An efficient numerical technique for solving nonlinear singularly perturbed reaction diffusion problem	4
Peripherality in networks: theory and applications	4
Minimum distance-unbalancedness of trees	4
A fast numerical scheme for solving singular boundary value problems arising in various physical models	4
Analytical and statistical studies of Rodriguez–Velazquez indices	4
Nordhaus–Gaddum type inequalities for some distance-based indices of bipartite molecular graphs	4
A close-up to the bond-breaking and bond-forming using information theory	4
Fermi–Dirac entropy as a measure of electron interactions	3
Extension of Fermat’s last theorem in Minkowski natural spaces	3
Bernstein and Gegenbauer-wavelet collocation methods for Bratu-like equations arising in electrospinning process	3
Some new results on energy of graphs with self loops	3
A new one-step method with three intermediate points in a variable step-size mode for stiff differential systems	3
The Collatz conjecture and the quantum mechanical harmonic oscillator	3
A 1-separation formula for the graph Kemeny constant and Braess edges	3
Bivariate rational approximations of the general temperature integral	3
Modeling Riemann–Liouville fractional differential equations for diffusion and reaction in fractal porous media	3
An optimal eighth order derivative free multiple root finding numerical method and applications to chemistry	3
Matrix elements of unitary group generators in many-fermion correlation problem. III. Green-Gould approach	3
Topological indices and graph entropies for carbon nanotube Y-junctions	3
A full probabilistic analysis of a randomized kinetic model for reaction–deactivation of hydrogen peroxide decomposition with applications to real data	3
On a flexible extended homotopy perturbation method and its applications in applied chemistry	3
Formulation of a phonon band calculation for molecular crystals using a coarse-grained coordinate approach under periodic boundary conditions	3
On the modified generalized multidimensional KP equation in plasma physics and fluid dynamics in (3 + 1) dimensions	3
Rényi’s divergence as a chemical similarity criterion	3
Unified Regression Model in Fitting Potential Energy Surfaces for Quantum Dynamics	3
Differential transform method for the solutions to some initial value problems in chemistry	3
Computation of atomic electronegativity values using atomic and covalent potential: a FSGO based study	3
Nice pairs of odd cycles in fullerene graphs	3
Turing instability and pattern formation in a diffusive Sel’kov–Schnakenberg system	3
Exact solutions of an asymmetric double well potential	3
Harary index of Eulerian graphs	3
Quantum similarity and QSPR in Euclidean-, and Minkowskian–Banach spaces	3
Combinatorial enumeration of relativistic states of actinide dimers	3
The spectrum of the vertex quadrangulation of a 4-regular toroidal graph and beyond	3
Inverse problem for reconstruction of components from derivative envelope in ovarian MRS: Citrate quartet as a cancer biomarker with considerably decreased levels in malignant vs benign samples	3
A new spectral collocation method for solving Bratu-type equations using Genocchi polynomials	3
Kudryashov and Sinelshchikov’s method for solving the radial oscillation problem of multielectron bubbles in liquid helium	3
Symmetry analysis of a generalized 2D Zakharov–Kuznetsov–Burgers equation with a variable dissipation	3
Exact analytical ground state solution of 1D H$$_2^+$$ with soft Coulomb potential	3
A division-free algorithm for numerically evaluating the determinant of a specific quasi-tridiagonal matrix	3
Computational properties of the arithmetic–geometric index	3