OOIR: Observatory of International Research

Papers

(The median citation count of Mathematical Modelling and Analysis 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 2021-09-01 to 2025-09-01.)

Article	Citations
Discrete universality theorem for Matsumoto zeta-functions and nontrivial zeros of the Riemann zeta-function	47
BIFURCATIONS IN A LESLIE-GOWER TYPE PREDATOR-PREY MODEL WITH A RATIONAL NON-MONOTONIC FUNCTIONAL RESPONSE	34
A numerical scheme to simulate the distributed-order time 2D Benjamin Bona Mahony Burgers equation with fractional-order space	34
Approximation of a system of nonlinear Carrier wave equations by approximating the Carrier terms with their integral sums	20
Dissipative measure-valued solutions to the magnetohydrodynamic equations	19
DISCRETE GROUP METHOD FOR A MATHEMATICAL MODEL OF THE DIFFUSION IN SWELLING GELATIN	14
Using Chebyshev’s polynomials for solving Fredholm integral equations of the second kind	14
Micropolar fluid-thin elastic structure interaction: variational analysis	10
SPLINE QUASI-INTERPOLATION NUMERICAL METHODS FOR INTEGRO-DIFFERENTIAL EQUATIONS WITH WEAKLY SINGULAR KERNELS	10
GLOBAL SENSITIVITY ANALYSIS AND OPTIMAL CONTROL OF TYPHOID FEVER TRANSMISSION DYNAMICS	10
Analysis study of hybrid Caputo-Atangana-Baleanu fractional pantograph system under integral boundary conditions	9
CONVERGENCE AND STABILITY OF GALERKIN FINITE ELEMENT METHOD FOR HYPERBOLIC PARTIAL DIFFERENTIAL EQUATION WITH PIECEWISE CONTINUOUS ARGUMENTS OF ADVANCED TYPE	9
EXISTENCE RESULTS FOR FRACTIONAL P-LAPLACIAN SYSTEMS VIA YOUNG MEASURES	8
Approximation of analytic functions by generalized shifts of the Lerch zeta-function	8
WELL ORDERED MONOTONE ITERATIVE TECHNIQUE FOR NONLINEAR SECOND ORDER FOUR POINT DIRICHLET BVPS	7
MATHEMATICAL MODEL OF POTATO VIRUS Y DISEASE SPREAD WITH OPTIMAL CONTROL	7
GENERALIZED LAPLACE TRANSFORM AND TEMPERED Ψ-CAPUTO FRACTIONAL DERIVATIVE	7
PLANE WAVES AT AN INTERFACE OF THERMOELASTIC AND MAGNETO-THERMOELASTIC MEDIA	7
MULTILINEAR WEIGHTED ESTIMATES AND QUANTUM ZAKHAROV SYSTEM	6
INTEGRAL MODEL OF COVID-19 SPREAD AND MITIGATION IN UK: IDENTIFICATION OF TRANSMISSION RATE	6
COMPENSATION PROBLEM IN LINEAR FRACTIONAL ORDER DISTURBED SYSTEMS	6
A NUMERICAL METHOD FOR SOLVING A COMPLETE HYPERSINGULAR INTEGRAL EQUATION OF THE SECOND KIND AND ITS JUSTIFICATION	6
GENERALISED TWO-COMPONENT MODIFIED WEAKLY DISSIPATIVE DULLIN-GOTTWALD-HOLM SYSTEM: INVARIANCE ANALYSIS AND CONSERVATION LAWS	6
A SPECTRAL APPROACH FOR TIME-FRACTIONAL DIFFUSION AND SUBDIFFUSION EQUATIONS IN A LARGE INTERVAL	5
THE CONDITIONAL STABILITY AND AN ITERATIVE REGULARIZATION METHOD FOR A FRACTIONAL INVERSE ELLIPTIC PROBLEM OF TRICOMI-GELLERSTEDT-KELDYSH TYPE	5

COLLOCATION BASED APPROXIMATIONS FOR A CLASS OF FRACTIONAL BOUNDARY VALUE PROBLEMS	5
Mirroring and nonlinear perturbation of a circuit's system with multiple attractors	5
BÉZIER BASE EXTENDED ISOGEOMETRIC NUMERICAL METHOD FOR THERMO ELASTIC-PLASTIC ANALYSIS OF CRACK PROPAGATION IN CRACKED PLATE UNDER WELDING RESIDUAL STRESS AND THERMAL LOAD	5
ON SINGULAR SOLUTIONS OF THE STATIONARY NAVIER-STOKES SYSTEM IN POWER CUSP DOMAINS	5
NUMERICAL STUDY OF THE SHIELDING PROPERTIES OF A FERROFLUID TAKING INTO ACCOUNT MAGNITOPHORESIS AND PARTICLE INTERACTION	4
EXISTENCE OF ENTROPY SOLUTION FOR A NONLINEAR PARABOLIC PROBLEM IN WEIGHTED SOBOLEV SPACE VIA OPTIMIZATION METHOD	4
EXPONENTIAL STABILITY OF LAMINATED BEAM WITH CONSTANT DELAY FEEDBACK	4
STUDY ON TEMPORAL-FUZZY FRACTIONAL P-KDV EQUATION WITH NON-SINGULAR MITTAG LEFFLER KERNEL	4
A two-derivative time integrator for the Cahn-Hilliard equation	4
NUMERICAL SIMULATION OF FRACTIONAL POWER DIFFUSION BIOSENSORS	4
SIMULTANEOUS IDENTIFICATION OF THE RIGHT-HAND SIDE AND TIME-DEPENDENT COEFFICIENTS IN A TWO-DIMENSIONAL PARABOLIC EQUATION	4
JOINT DISCRETE APPROXIMATION OF ANALYTIC FUNCTIONS BY HURWITZ ZETA-FUNCTIONS	4
Calderón-Zygmund estimates for Schrödinger equations revisited	4
Optimizing chaotic systems by orbit counting and Fourier spectrum: FPGA implementation and image encryption application	4
ANALYTIC SOLUTIONS OF A TWO-FLUID HYDRODYNAMIC MODEL	3
COMPOSITE LAGUERRE PSEUDOSPECTRAL METHOD FOR FOKKER-PLANCK EQUATIONS	3
SOLVING A SPECTRAL PROBLEM FOR LARGE-AREA PHOTONIC CRYSTAL SURFACE-EMITTING LASERS	3
A COLLOCATION METHOD FOR FREDHOLM INTEGRAL EQUATIONS OF THE FIRST KIND VIA ITERATIVE REGULARIZATION SCHEME	3
ON THE FUNCTIONAL INDEPENDENCE OF THE RIEMANN ZETA-FUNCTION	3
A new approach for Solving a nonlinear system of second-order BVPs	3
UNIFORM REGULARITY FOR THE ISENTROPIC COMPRESSIBLE MAGNETO-MICROPOLAR SYSTEM	3
OPTIMIZATION PROBLEMS FOR A THERMOELASTIC FRICTIONAL CONTACT PROBLEM	3
A FIXED-POINT TYPE RESULT FOR SOME NON-DIFFERENTIABLE FREDHOLM INTEGRAL EQUATIONS	3
APPROXIMATION OF ITERATIVE METHODS FOR ALTERING POINTS PROBLEM WITH APPLICATIONS	3
MODELLING THE EVOLUTION OF THE TWO-PLANETARY THREE-BODY SYSTEM OF VARIABLE MASSES	2
ASYMPTOTIC ANALYSIS OF STURM-LIOUVILLE PROBLEM WITH DIRICHLET AND NONLOCAL TWO-POINT BOUNDARY CONDITIONS	2
SOME CONSIDERATIONS ON NUMERICAL METHODS FOR CAUCHY SINGULAR INTEGRAL EQUATIONS ON THE REAL LINE	2
FULLY-DISCRETE FINITE ELEMENT APPROXIMATION FOR A FAMILY OF DEGENERATE PARABOLIC PROBLEMS	2
BARYCENTRIC RATIONAL INTERPOLATION METHOD OF THE HELMHOLTZ EQUATION WITH IRREGULAR DOMAIN	2
A NONMONOTONE ADMM-BASED DIAGONAL QUASI-NEWTON UPDATE WITH APPLICATION TO THE COMPRESSIVE SENSING PROBLEM	2
ON DISCRETE-TIME MODELS OF NETWORK WORM PROPAGATION GENERATED BY QUADRATIC OPERATORS	2
NONLINEAR ELLIPTIC EQUATION WITH NONLOCAL INTEGRAL BOUNDARY CONDITION DEPENDING ON TWO PARAMETERS	2
STRONG CONVERGENCE OF MULTI-PARAMETER PROJECTION METHODS FOR VARIATIONAL INEQUALITY PROBLEMS	2
TOPOGRAPHICAL EFFECTS ON WAVE SCATTERING BY AN ELASTIC PLATE FLOATING ON TWO-LAYER FLUID	2
Averaged reaction for nonlinear boundary conditions on a grill-type Winkler foundation	2
IDENTIFICATION OF A TIME-DEPENDENT SOURCE TERM IN A NONLOCAL PROBLEM FOR TIME FRACTIONAL DIFFUSION EQUATION	2
SPECTRAL METHOD FOR ONE DIMENSIONAL BENJAMIN-BONA-MAHONY-BURGERS EQUATION USING THE TRANSFORMED GENERALIZED JACOBI POLYNOMIAL	2
A REPRODUCING KERNEL METHOD FOR SOLVING SINGULARLY PERTURBED DELAY PARABOLIC PARTIAL DIFFERENTIAL EQUATIONS	2
AN ACCURATE NUMERICAL SCHEME FOR THREE-DIMENSIONAL VARIABLE-ORDER TIME-FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS IN TWO TYPES OF SPACE DOMAINS	2
A new method to solve multi-objective linear fractional programming problem in fuzzy stochastic environment	2
Boundary feedback stabilization of quasilinear hyperbolic systems with zero characteristic speed	2
AN IMPROVED SIMPLEC SCHEME FOR FLUID REGISTRATION	1
MATHEMATICAL MODEL FOR THE STUDY OF OBESITY IN A POPULATION AND ITS IMPACT ON THE GROWTH OF DIABETES	1
A SEMI-ANALYTIC METHOD FOR SOLVING SINGULARLY PERTURBED TWIN-LAYER PROBLEMS WITH A TURNING POINT	1
Fractional multiwavelet methods for solving spatiotemporal fractional diffusion equations with non-smooth solutions	1
JOINT DISCRETE APPROXIMATION OF ANALYTIC FUNCTIONS BY SHIFTS OF LERCH ZETA-FUNCTIONS	1
Numerical differentiation of fractional order derivatives based on inverse source problems of hyperbolic equations	1
ASYMPTOTIC STABILITY FOR A VISCOELASTIC EQUATION WITH THE TIME-VARYING DELAY	1
ON THE MAXIMUM NUMBER OF PERIOD ANNULI FOR SECOND ORDER CONSERVATIVE EQUATIONS	1
AN EXPLICIT SPECTRAL COLLOCATION METHOD FOR THE DRUG RELEASE CORONARY STENTS	1

SIMPLE AND EFFICIENT FIFTH ORDER SOLVERS FOR SYSTEMS OF NONLINEAR PROBLEMS	1
NUMERICAL VALIDATION OF PROBABILISTIC LAWS TO EVALUATE FINITE ELEMENT ERROR ESTIMATES	1
Modelling for a new mechanical passive damper and its mathematical analysis	1
Solving class of mixed nonlinear multi-term fractional Volterra-Fredholm integro-differential equations by new development of HAM	1
IMPLICIT EXTENDED DISCONTINUOUS GALERKIN SCHEME FOR SOLVING SINGULARLY PERTURBED BURGERS' EQUATIONS	1
A class of nonlinear systems with new boundary conditions: existence of solutions, stability and travelling waves	1
AN EFFECTIVE AND SIMPLE SCHEME FOR SOLVING NONLINEAR FREDHOLM INTEGRAL EQUATIONS	1
A Vieta–Lucas collocation and non-standard finite difference technique for solving space-time fractional-order Fisher equation	1
AN EFFICIENT SPECTRAL METHOD FOR NONLINEAR VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS WITH WEAKLY SINGULAR KERNELS	1
ON JOINT DISCRETE UNIVERSALITY OF THE RIEMANN ZETA-FUNCTION IN SHORT INTERVALS	1
A joint discrete limit theorem for Epstein and Hurwitz zeta-functions	1
ALTERNATING DIRECTION IMPLICIT METHOD FOR POISSON EQUATION WITH INTEGRAL CONDITIONS	1
AN EFFECTIVE COMPUTATIONAL APPROACH BASED ON HERMITE WAVELET GALERKIN FOR SOLVING PARABOLIC VOLTERRA PARTIAL INTEGRO DIFFERENTIAL EQUATIONS AND ITS CONVERGENCE ANALYSIS	1
ON COMPACT 4TH ORDER FINITE-DIFFERENCE SCHEMES FOR THE WAVE EQUATION	1
A SUBGRID STABILIZED METHOD FOR NAVIER-STOKES EQUATIONS WITH NONLINEAR SLIP BOUNDARY CONDITIONS	1
IDENTIFICATION OF UNKNOWN PARAMETERS OF THE DYNAMIC MODEL OF MASS TRANSFER	1
A SINGULAR NONLINEAR PROBLEMS WITH NATURAL GROWTH IN THE GRADIENT	1
COMPARATIVE ANALYSIS OF MODELS OF GENETIC AND NEURONAL NETWORKS	1
EIGENVALUES OF STURM-LIOUVILLE PROBLEMS WITH EIGENPARAMETER DEPENDENT BOUNDARY AND INTERFACE CONDITIONS	1
DIFFERENTIAL EQUATIONS WITH TEMPERED Ψ-CAPUTO FRACTIONAL DERIVATIVE	1
THE GLOBAL STRONG SOLUTIONS OF THE 3D INCOMPRESSIBLE HALL-MHD SYSTEM WITH VARIABLE DENSITY	1
LOCAL LINEAR MODELLING OF THE CONDITIONAL DISTRIBUTION FUNCTION FOR FUNCTIONAL ERGODIC DATA	1
FUNCTIONAL MODELLING OF TELECOMMUNICATIONS DATA	1