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 2020-11-01 to 2024-11-01.)

Article	Citations
Homotopy perturbation method with three expansions	77
He–Laplace variational iteration method for solving the nonlinear equations arising in chemical kinetics and population dynamics	56
A gecko-like fractal receptor of a three-dimensional printing technology: a fractal oscillator	46
Extremal values of the Sombor index in unicyclic and bicyclic graphs	42
Sombor index: review of extremal results and bounds	32
Atom-bond sum-connectivity index	32
Solving nonlinear reaction–diffusion problem in electrostatic interaction with reaction-generated pH change on the kinetics of immobilized enzyme systems using Taylor series method	29
Graph entropies, enumeration of circuits, walks and topological properties of three classes of isoreticular metal organic frameworks	28
Belousov-Zhabotinsky type reactions: the non-linear behavior of chemical systems	25
Mathematical exploration on control of bifurcation for a plankton–oxygen dynamical model owning delay	24
Fractal equation of motion of a non-Gaussian polymer chain: investigating its dynamic fractal response using an ancient Chinese algorithm.	14
Theoretical prediction for thermoelastic properties of carbon nanotubes (CNTs) at different pressure or compression using equation of states	14
Optimization of hyperparameters of Gaussian process regression with the help of а low-order high-dimensional model representation: application to a potential energy surface	13
A phase-fitting, first, second and third derivatives phase-fitting singularly P-stable economical two-step method for problems in quantum chemistry	12
A phase-fitting, first and second derivatives phase-fitting singularly P-stable economical two-step method for problems in chemistry	12
A Phase-Fitting Singularly P-Stable Cost-Effective Two-Step Method for Solving Chemistry Problems	12
A quartic trigonometric B-spline collocation method for a general class of nonlinear singular boundary value problems	11
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
Richardson-Gaudin geminal wavefunctions in a Slater determinant basis	11
A phase-fitting and first derivative phase-fitting singularly P-stable economical two-step method for problems in quantum chemistry	11
Topological indices and entropies of triangular and rhomboidal tessellations of kekulenes with applications to NMR and ESR spectroscopies	10
Numerical solution of system of Emden-Fowler type equations by Bernstein collocation method	10
Eigensolution of the Klein–Gordon equation for modified Yukawa–Kratzer potential and its applications using parametric Nikiforov–Uvarov and SUSYQM method	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
q-Rényi’s entropy as a possible measure of electron correlation	9

An efficient operational matrix technique to solve the fractional order non-local boundary value problems	9
Topological indices and graph entropies for carbon nanotube Y-junctions	8
Analytical Solutions of the Molecular Kratzer-Feus potential by means of the Nikiforov-Uvarov Method	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 block diagonalization based algorithm for the determinants of block k-tridiagonal matrices	8
Analysis of solutions of time-dependent Schrödinger equation of a particle trapped in a spherical box	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
Atomic electronegativity based on hardness and floating spherical gaussian orbital approach	8
Theoretical model for the prediction of lattice energy of diatomic metal halides	8
Solution of the modified Yukawa–Kratzer potential under influence of the external fields and its thermodynamic properties	8
Generalized scalar products in Minkowski metric spaces	8
In vivo derivative NMR spectroscopy for simultaneous improvements of resolution and signal-to-noise-ratio: Case study, Glioma	8
mad-GP: automatic differentiation of Gaussian processes for molecules and materials	8
Molecular device design based on chemical reaction networks: state feedback controller, static pre-filter, addition gate control system and full-dimensional state observer	8
Relation between geometric–arithmetic and arithmetic–geometric indices	7
High-resolution at 3T for in vivo derivative NMR spectroscopy in medical diagnostics of ovarian tumor: exact quantification by shape estimations	7
Solution to quantum chemistry problems using a phase-fitting, singularly P-stable, cost-effective two-step approach with disappearing phase-lag derivatives up to order 5	7
A time two-grid difference method for nonlinear generalized viscous Burgers’ equation	7
Shadows’ hypercube, vector spaces, and non-linear optimization of QSPR procedures	7
Biochemical and phylogenetic networks-I: hypertrees and corona products	6
A new one-step method with three intermediate points in a variable step-size mode for stiff differential systems	6
Analytic properties of sextet polynomials of hexagonal systems	6
Determination of unknown molecular properties in molecular spaces	6
General nucleation-growth type kinetic models of nanoparticle formation: possibilities of finding analytical solutions	6
A two-step singularly P-stable method with high phase and large stability properties for problems in chemistry	6
Compressing multireference character of wave functions via fermionic mode optimization	6
Deficiency zero for random reaction networks under a stochastic block model framework	5
Spatiotemporal complexity in a diffusive Brusselator model	5
Minimum distance-unbalancedness of trees	5
Analytical and statistical studies of Rodriguez–Velazquez indices	5
A new spectral collocation method for solving Bratu-type equations using Genocchi polynomials	5
Phase-fitting, singularly P-stable, cost-effective two-step approach to solving problems in quantum chemistry with vanishing phase-lag derivatives up to order 6	5
An optimal eighth order derivative free multiple root finding numerical method and applications to chemistry	5
Positive equilibria of Hill-type kinetic systems	5
An efficient operational matrix approach for the solutions of Burgers' and fractional Burgers' equations using wavelets	5
A fast numerical scheme for solving singular boundary value problems arising in various physical models	5
Highly efficient, singularly P-stable, and low-cost phase-fitting two-step method of 14th order for problems in chemistry	5
Extended Minkowski spaces, zero norms, and Minkowski hypersurfaces	5
An efficient numerical approach for solving a general class of nonlinear singular boundary value problems	5
Exponential topological indices: optimal inequalities and applications	5
Quantum similarity and QSPR in Euclidean-, and Minkowskian–Banach spaces	5
Peripherality in networks: theory and applications	5
Some new results on energy of graphs with self loops	5
Domination number of catacondensed hexagonal systems	5
In vitro proton magnetic resonance spectroscopy at 14T for benign and malignant ovary: Part II, Signal processing by the parametric fast Padé transform	5
A division-free algorithm for numerically evaluating the determinant of a specific quasi-tridiagonal matrix	5
Covalent organic frameworks: topological characterizations, spectral patterns and graph entropies	4
Numerical solution of some stiff systems arising in chemistry via Taylor wavelet collocation method	4
On topological indices of Molnupiravir and its QSPR modelling with some other antiviral drugs to treat COVID-19 patients	4
Computational properties of the arithmetic–geometric index	4

Comparative study on structural sensitivity of eigenvalue–based molecular descriptors	4
Average energy and quantum similarity of a time dependent quantum system subject to Pöschl–Teller potential	4
Wavelet solution of a strongly nonlinear Lane–Emden equation	4
Comparative study of elastic properties of some inorganic and organic molecular crystals from EOS	4
On the modified generalized multidimensional KP equation in plasma physics and fluid dynamics in (3 + 1) dimensions	4
On the information balance in a simple chemical process	4
A close-up to the bond-breaking and bond-forming using information theory	4
Harary index of Eulerian graphs	4
Difference methods for stochastic space fractional diffusion equation driven by additive space–time white noise via Wong–Zakai approximation	4
Turing instability and pattern formation in a diffusive Sel’kov–Schnakenberg system	4
Smeared Coulomb potential orbitals: I—asymptotic expansion	4
Minimum-uncertainty coherent states of the hyperbolic and trigonometric Rosen–Morse oscillators	4
A 1-separation formula for the graph Kemeny constant and Braess edges	4
Rényi’s divergence as a chemical similarity criterion	4
Quantum similarity index and Rényi complexity ratio of Kratzer type potential and compared with that of inverse square and Coulomb type potentials	4
Exact analytical ground state solution of 1D H$$_2^+$$ with soft Coulomb potential	4
Applications of graph theory in studying protein structure, dynamics, and interactions	4
An efficient numerical technique for solving nonlinear singularly perturbed reaction diffusion problem	4
Persistence and stability of a class of kinetic compartmental models	4
A robust numerical technique for weakly coupled system of parabolic singularly perturbed reaction–diffusion equations	4
Critical scaling of lattice polymers confined to a box without endpoint restriction	4
Differential transform method for the solutions to some initial value problems in chemistry	4
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
Fibonacci wavelet collocation method for the numerical approximation of fractional order Brusselator chemical model	3
Unified Regression Model in Fitting Potential Energy Surfaces for Quantum Dynamics	3
Computation of atomic electronegativity values using atomic and covalent potential: a FSGO based study	3
Global dynamics of solutions for enzyme catalysed models with almost periodic oscillatory input	3
Fermi–Dirac entropy as a measure of electron interactions	3
A full probabilistic analysis of a randomized kinetic model for reaction–deactivation of hydrogen peroxide decomposition with applications to real data	3
Modeling the process of capacitive deionization of solutions at supposing complex structure of the pores of the electrodes	3
Identification of potential oral cancer drugs as Bcl-2 inhibitors from known anti-neoplastic agents through docking studies	3
Formulation of a phonon band calculation for molecular crystals using a coarse-grained coordinate approach under periodic boundary conditions	3
Comparative analysis of carbon cycle models via kinetic representations	3
Analytical enclosure of the set of solutions of the three-species multivariate curve resolution problem	3
A high-order compact finite difference scheme and its analysis for the time-fractional diffusion equation	3
The Collatz conjecture and the quantum mechanical harmonic oscillator	3
Analytical approach of Hilfer fractional order differential equations using iterative Laplace transform method	3
Various mechanisms for double capture from helium targets by alpha particles	3
Bernstein and Gegenbauer-wavelet collocation methods for Bratu-like equations arising in electrospinning process	3
Extension of Fermat’s last theorem in Minkowski natural spaces	3
Weakly reversible CF-decompositions of chemical kinetic systems	3
A possible generalization Shannon’s entropy using q-calculus	3
The spectrum of the vertex quadrangulation of a 4-regular toroidal graph and beyond	3
Information-theoretic spreading measures of a particle confined in a 3D infinite spherical well	3
Complete forcing numbers of hexagonal systems	3
Derivative shape estimations with resolved overlapped peaks and reduced noise for time signals encoded by NMR spectroscopy with and without water suppression	3
Modeling Riemann–Liouville fractional differential equations for diffusion and reaction in fractal porous media	3
Steady-state solutions of the templator model in chemical self-replication	3
Exact solutions of an asymmetric double well potential	3
Surrogate modeling of the effective elastic properties of spherical particle-reinforced composite materials	3
A conceptual DFT and information-theoretic approach towards QSPR modeling in polychlorobiphenyls	3
Combinatorial enumeration of relativistic states of actinide dimers	3
Second-order convergent scheme for time-fractional partial differential equations with a delay in time	3
Bivariate rational approximations of the general temperature integral	3