Applied Mathematical Modelling

Papers
(The TQCC of Applied Mathematical Modelling is 12. 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 2020-02-01 to 2024-02-01.)
ArticleCitations
Selecting appropriate machine learning methods for digital soil mapping212
Atomic orbital search: A novel metaheuristic algorithm139
A truck and drones model for last-mile delivery: A mathematical model and heuristic approach111
A novel interval dynamic reliability computation approach for the risk evaluation of vibration active control systems based on PID controllers110
A new-structure grey Verhulst model: Development and performance comparison100
Vibration isolation and energy harvesting integrated in a Stewart platform with high static and low dynamic stiffness91
A coupled incompressible SPH-Hamiltonian SPH solver for hydroelastic FSI corresponding to composite structures85
The dynamic characteristics of pure-quartic solitons and soliton molecules84
Influence of homogenization models on size-dependent nonlinear bending and postbuckling of bi-directional functionally graded micro/nano-beams84
Reliability and availability analysis of stochastic degradation systems based on bivariate Wiener processes80
Forecasting the renewable energy consumption of the European countries by an adjacent non-homogeneous grey model80
A novel car-following inertia gray model and its application in forecasting short-term traffic flow79
A novel time-delay multivariate grey model for impact analysis of CO2 emissions from China’s transportation sectors77
A novel Grey Bernoulli model for short-term natural gas consumption forecasting75
Point and interval forecasting for carbon price based on an improved analysis-forecast system73
A meshless method for solving three-dimensional time fractional diffusion equation with variable-order derivatives72
Large-amplitude oscillations of composite conical nanoshells with in-plane heterogeneity including surface stress effect70
Interactions between exotic multi-valued solitons of the (2+1)-dimensional Korteweg-de Vries equation describing shallow water wave68
A fractal Boussinesq equation for nonlinear transverse vibration of a nanofiber-reinforced concrete pillar68
Free vibration response of smart sandwich plates with porous CNT-reinforced and piezoelectric layers65
Analytical features of the SIR model and their applications to COVID-1965
Free vibration analysis of a rotating graphene nanoplatelet reinforced pre-twist blade-disk assembly with a setting angle64
Designing a Closed-loop Supply Chain Network Considering Social Factors; A Case Study on Avocado Industry62
Passenger flow control strategies for urban rail transit networks61
Design of a combined wind speed forecasting system based on decomposition-ensemble and multi-objective optimization approach61
A new ray tracing heat source model for mesoscale CFD simulation of selective laser melting (SLM)61
Active control of dynamic behaviors of graded graphene reinforced cylindrical shells with piezoelectric actuator/sensor layers60
The role of surrogate models in the development of digital twins of dynamic systems60
Design of multi innovation fractional LMS algorithm for parameter estimation of input nonlinear control autoregressive systems59
A mesh stiffness method using slice coupling for spur gear pairs with misalignment and lead crown relief57
Self-adaptive salp swarm algorithm for engineering optimization problems56
A computational framework of kinematic accuracy reliability analysis for industrial robots54
Recycling channel selection and coordination in dual sales channel closed-loop supply chains54
Dynamical analysis of spinning functionally graded pipes conveying fluid with multiple spans54
Malaria and COVID-19 co-dynamics: A mathematical model and optimal control54
An unequal adjacent grey forecasting air pollution urban model53
Harris Hawks optimization with information exchange53
The fractional Kelvin-Voigt model for circumferential guided waves in a viscoelastic FGM hollow cylinder52
Robotic disassembly line balancing problem: A mathematical model and ant colony optimization approach52
An optimization method for control parameters of underwater gliders considering energy consumption and motion accuracy52
Stability and bifurcation analysis for a fractional prey–predator scavenger model51
A quantum-behaved simulated annealing algorithm-based moth-flame optimization method51
Modeling of memristor-based Hindmarsh-Rose neuron and its dynamical analyses using energy method50
Free vibration analysis of FGM cylindrical shells surrounded by Pasternak elastic foundation in thermal environment considering fluid-structure interaction50
A magnetic field coupling fractional step lattice Boltzmann model for the complex interfacial behavior in magnetic multiphase flows49
Analytical solution for horizontal vibration of end-bearing single pile in radially heterogeneous saturated soil49
A NURBS-based Multi-Material Interpolation (N-MMI) for isogeometric topology optimization of structures48
An analytical model for rapid predicting molten pool geometry of selective laser melting (SLM)48
Material optimization of tri-directional functionally graded plates by using deep neural network and isogeometric multimesh design approach47
Coupled orbit-attitude dynamics and trajectory tracking control for spacecraft electromagnetic docking47
Vibration of viscoelastic axially graded beams with simultaneous axial and spinning motions under an axial load47
Effects of initial stresses on guided wave propagation in multilayered PZT-4/PZT-5A composites: A polynomial expansion approach47
Feed-in tariff or tax-rebate regulation? Dynamic decision model for the solar photovoltaic supply chain47
Modeling of a Hamiltonian conservative chaotic system and its mechanism routes from periodic to quasiperiodic, chaos and strong chaos47
Dynamics of perforated nanobeams subject to moving mass using the nonlocal strain gradient theory45
Elastic buckling and free vibration analysis of functionally graded Timoshenko beam with nonlocal strain gradient integral model45
Dynamic navigation field in the social force model for pedestrian evacuation45
Review of fractional epidemic models45
A numerical study on the effect of cavitation erosion in a diesel injector45
Grey prediction evolution algorithm for global optimization45
On wave propagation in two-dimensional functionally graded porous rotating nano-beams using a general nonlocal higher-order beam model44
Numerical approach for modeling fractional heat conduction in porous medium with the generalized Cattaneo model44
A new hybrid optimization ensemble learning approach for carbon price forecasting44
Vibration of fluid-conveying nanotubes subjected to magnetic field based on the thin-walled Timoshenko beam theory44
Optimal lot-sizing and shipment decisions in a three-echelon supply chain for growing items with inventory level- and expiration date-dependent demand44
The scaled boundary finite element method based on the hybrid quadtree mesh for solving transient heat conduction problems43
Nonlinear adaptive output feedback robust control of hydraulic actuators with largely unknown modeling uncertainties43
Enhanced salp swarm algorithm based on firefly algorithm for unrelated parallel machine scheduling with setup times43
Probabilistic modeling and simulation of multiple surface crack propagation and coalescence43
On the vibrations of axially graded Rayleigh beams under a moving load42
Multi-period dynamic distributionally robust pre-positioning of emergency supplies under demand uncertainty42
Optimized prediction model for concrete dam displacement based on signal residual amendment42
An innovative fractional order LMS algorithm for power signal parameter estimation42
Nonlinear vibrations of functionally graded graphene reinforced composite cylindrical panels41
A novel Hausdorff fractional NGMC(p,n) grey prediction model with Grey Wolf Optimizer and its applications in forecasting energy production and conversion of China41
Bi-directional evolutionary topology optimization of geometrically nonlinear continuum structures with stress constraints41
Transient cavitating flow structure and acoustic analysis of a hydrofoil with whalelike wavy leading edge41
Nonlinear free and forced vibrations of fractional modeled viscoelastic FGM micro-beam40
Long-range dependence and heavy tail characteristics for remaining useful life prediction in rolling bearing degradation40
Lyapunov method for the stability analysis of uncertain fractional-order systems under input saturation40
Nonlinear parametric vibration of spinning pipes conveying fluid with varying spinning speed and flow velocity39
A numerical method for magneto-hygro-thermal dynamic stability analysis of defective quadrilateral graphene sheets using higher order nonlocal strain gradient theory with different movable boundary co39
Design of a nonlinear model for the propagation of COVID-19 and its efficient nonstandard computational implementation39
A full-stage creep model for rocks based on the variable-order fractional calculus39
Analysis of a stochastic tumor-immune model with regime switching and impulsive perturbations39
Mixed convection heat transfer by nanofluids in a cavity with two oscillating flexible fins: A fluid–structure interaction approach38
Thermodynamic modeling of viscoelastic thin rotating microbeam based on non-Fourier heat conduction38
A novel analysis method for damping characteristic of a type of double-beam systems with viscoelastic layer38
A lattice Boltzmann modelling of electrohydrodynamic conduction phenomenon in dielectric liquids38
Analysis of wave propagation in functionally graded piezoelectric composite plates reinforced with graphene platelets38
Dissipative analysis for high speed train systems via looped-functional and relaxed condition methods38
A new mesh stiffness model for modified spur gears with coupling tooth and body flexibility effects38
An improved whale optimization algorithm with armed force program and strategic adjustment37
Numerical investigation of cavitation-vortex interaction with special emphasis on the multistage shedding process37
Prediction of arch dam deformation via correlated multi-target stacking37
A bounce back-immersed boundary-lattice Boltzmann model for curved boundary37
Enhanced resolution of the continuity equation in explicit weakly compressible SPH simulations of incompressible free‐surface fluid flows37
A high-order numerical manifold method with continuous stress/strain field37
On the characteristics of a quasi-zero-stiffness vibration isolator with viscoelastic damper37
Multiobjective big data optimization based on a hybrid salp swarm algorithm and differential evolution36
3D dynamic responses of a multi-layered transversely isotropic saturated half-space under concentrated forces and pore pressure36
Further enhancement of the particle shifting technique: Towards better volume conservation and particle distribution in SPH simulations of violent free-surface flows36
Modeling of amplitude-dependent damping characteristics of fiber reinforced composite thin plate36
Dynamic response analysis of vehicle and asphalt pavement coupled system with the excitation of road surface unevenness36
Optimal control of variable-order fractional model for delay cancer treatments36
Node-based smoothed radial point interpolation method for electromagnetic-thermal coupled analysis36
Numerical solution of time-fractional fourth-order reaction-diffusion model arising in composite environments36
A modified Artificial Bee Colony algorithm for structural damage identification under varying temperature based on a novel objective function35
A combined radial basis function and adaptive sequential sampling method for structural reliability analysis35
Non-probabilistic polygonal convex set model for structural uncertainty quantification35
Applying nonlocal strain gradient theory to size-dependent analysis of functionally graded carbon nanotube-reinforced composite nanoplates35
A lateral resupply blood supply chain network design under uncertainties35
A modal analysis of vibration response of a cracked fluid-filled cylindrical shell35
Three-dimensional topology optimization of a fluid–structure system using body-fitted mesh adaption based on the level-set method35
An accelerated differential evolution algorithm with new operators for multi-damage detection in plate-like structures35
Reliability analysis of k-out-of-n: F balanced systems with multiple functional sectors35
A fractional nonlocal time-space viscoelasticity theory and its applications in structural dynamics35
Modeling airborne pathogen transport and transmission risks of SARS-CoV-234
Robust topology optimization for multi-material structures under interval uncertainty34
Numerical analysis on stability of functionally graded graphene platelets (GPLs) reinforced dielectric composite plate34
Numerical study of vortex eccentricity in a gas cyclone34
Vectorial surrogate modeling method for multi-objective reliability design34
Machine learning aided static structural reliability analysis for functionally graded frame structures34
Rigorous solution for kinematic response of floating piles subjected to vertical P-wave34
Nonlinear control strategies for a UAV carrying a load with swing attenuation33
Nonlinear dynamics of fluid-conveying composite pipes subjected to time-varying axial tension in sub- and super-critical regimes33
Density waves in car-following model for autonomous vehicles with backward looking effect33
In-plane quasi-zero-stiffness vibration isolator using magnetic interaction and cables: Theoretical and experimental study33
Dynamic modeling and fuzzy compensation sliding mode control for flexible manipulator servo system33
Impact of product perishability on agri-food supply chains design33
Variable order fractional grey model and its application33
A novel robust fuzzy mean-UPM model for green closed-loop supply chain network design under distribution ambiguity33
Theoretical analysis of three-dimensional ground displacements induced by shield tunneling32
Global analysis of the COVID-19 pandemic using simple epidemiological models32
Time-harmonic response of transversely isotropic and layered poroelastic half-spaces under general buried loads32
Energy balance and synchronization via inductive-coupling in functional neural circuits32
Optimal allocation of regional water resources based on multi-objective dynamic equilibrium strategy32
A linear uncertain pharmacokinetic model driven by Liu process31
Large Eddy simulation of ventilated cavitation with an insight on the correlation mechanism between ventilation and vortex evolutions31
Mathematical model of turbulence based on the dynamics of two fluids31
Exploration of the encased nanocomposites functionally graded porous arches: Nonlinear analysis and stability behavior30
Modeling approach for flexible shaft-disk-drum rotor systems with elastic connections and supports30
Dynamic torsional impedance of large-diameter pipe pile for offshore engineering: 3D analytical solution30
The dynamical motion of a gyrostat for the irrational frequency case30
Numerical study of bifurcation blood flows using three different non-Newtonian constitutive models30
Bending, vibration, buckling analysis of bi-directional FG porous microbeams with a variable material length scale parameter30
A novel and efficient method for damage detection in beam-like structures solely based on damaged structure data and using mode shape curvature estimation29
Study on theoretical modeling and vibration performance of an assembled cylindrical shell-plate structure with whirl motion29
An improved high order moment-based saddlepoint approximation method for reliability analysis29
Dual-phase-lag thermoelastic damping models for micro/nanobeam resonators29
Modeling large amplitude vibration of pretwisted hybrid composite blades containing CNTRC layers and matrix cracked FRC layers29
Enriched mixed numerical manifold formulation with continuous nodal gradients for dynamics of fractured poroelasticity29
Reliability modeling of two-unit cold standby systems: A periodic switching approach29
Dynamic modelling and vibration characteristics analysis for the bolted joint with spigot in the rotor system29
Bi-nonlinear vibration model of tubing string in oil & gas well and its experimental verification29
Quantized fixed-time fault-tolerant attitude control for hypersonic reentry vehicles29
The threshold of a deterministic and a stochastic SIQS epidemic model with varying total population size28
Nonlinear forced vibration of in-plane bi-directional functionally graded materials rectangular plate with global and localized geometrical imperfections28
Bifurcation analysis of a heterogeneous continuum traffic flow model28
An innovative flower pollination algorithm for continuous optimization problem28
Kinetic analysis of polyhedral block system using an improved potential-based penalty function approach for explicit discontinuous deformation analysis28
Transfer matrix method for the free and forced vibration analyses of multi-step Timoshenko beams coupled with rigid bodies on springs28
Shifted Legendre Polynomials algorithm used for the dynamic analysis of viscoelastic pipes conveying fluid with variable fractional order model28
Active learning relevant vector machine for reliability analysis28
Flow and heat transfer of double fractional Maxwell fluids over a stretching sheet with variable thickness28
An open queuing network-based tool for performance estimations in a shuttle-based storage and retrieval system28
Cooperative optimization of velocity planning and energy management for connected plug-in hybrid electric vehicles27
Variational iteration and successive approximation methods for a SIR epidemic model with constant vaccination strategy27
Condition-based maintenance with imperfect inspections for continuous degradation processes27
The phase-field model with an auto-calibrated degradation function based on general softening laws for cohesive fracture27
Allee effect in prey’s growth reduces the dynamical complexity in prey-predator model with generalist predator27
Reliability analysis for multi-component systems with interdependent competing failure processes27
Free vibration of the one-dimensional piezoelectric quasicrystal microbeams based on modified couple stress theory27
A hybrid metaheuristic algorithm for identification of continuous-time Hammerstein systems27
Stability and bifurcation analysis of a buckled beam via active control27
Application of the Chebyshev spectral method to the simulation of groundwater flow and rainfall-induced landslides27
An intensify atom search optimization for engineering design problems27
An isogeometric boundary element approach for topology optimization using the level set method26
Fully discrete energy stable scheme for a phase-field moving contact line model with variable densities and viscosities26
Dynamic behaviors of single- and multi-span functionally graded porous beams with flexible boundary constraints26
A new Poincaré map for investigating the complex walking behavior of the compass-gait biped robot26
Multiscale analysis on free vibration of functionally graded graphene reinforced PMMA composite plates26
High-accuracy hull iteration method for uncertainty propagation in fluid-conveying carbon nanotube system under multi-physical fields26
Thermo-viscoelastic analysis of biological tissue during hyperthermia treatment26
Simultaneous energy harvesting and vibration isolation via quasi-zero-stiffness support and radially distributed piezoelectric cantilever beams26
Elastic stress analysis of blunt V-notches under mixed mode loading by considering higher order terms26
Nonlocal dual-phase-lagging thermoelastic damping in rectangular and circular micro/nanoplate resonators26
Dynamic modeling and vibration prediction of an industrial robot in manufacturing25
Three-dimensional vehicle-ballasted track-subgrade interaction: Model construction and numerical analysis25
FPGA Realization of Fractional Order Neuron25
Optimal periodic preventive maintenance policies for systems subject to shocks25
Cooperative car-following control with electronic throttle and perceived headway errors on gyroidal roads25
Investigating the performance of tri-stable magneto-piezoelastic absorber in simultaneous energy harvesting and vibration isolation25
Mathematical modeling and bifurcation analysis of pro- and anti-tumor macrophages25
Dispersion relations of in-plane elastic waves in nano-scale one dimensional piezoelectric semiconductor/piezoelectric dielectric phononic crystal with the consideration of interface effect25
Numerical simulation of the performance of a centrifugal pump with a semi-open impeller under normal and cavitating conditions25
Homoclinic bifurcations and chaotic dynamics of non-planar waves in axially moving beam subjected to thermal load25
Reliability analysis for Weibull distribution with homogeneous heavily censored data based on Bayesian and least-squares methods25
Augmented line sampling for approximation of failure probability function in reliability-based analysis25
Synchronization and stability of a far-resonant vibrating system with three rollers driven by two vibrators25
Analysis of laminated piezoelectric composite plates using an inverse hyperbolic coupled plate theory25
Asymptotic reduction and homogenization of a thermo-electrochemical model for a lithium-ion battery25
A novel dynamics model for railway ballastless track with medium-thick slabs25
Multi-variable grey model based on dynamic background algorithm for forecasting the interval sequence25
Spreading and rebound dynamics of sub-millimetre urea-water-solution droplets impinging on substrates of varying wettability25
A heuristic method for the supplier selection and order quantity allocation problem24
Dynamic analysis of multilayered unsaturated poroelastic media subjected to a vertical time-harmonic load24
Prescribed performance of discrete-time controller based on the dynamic equivalent data model24
Combination of the variational iteration method and numerical algorithms for nonlinear problems24
Dynamic analysis of multiple inclined and frictional impact-contacts in multi-branch robotic systems24
An improved implicit method with dissipation control capability: The simple generalized composite time integration algorithm24
Uniform finite-time stability of nonlinear impulsive time-varying systems24
Correlation propagation for uncertainty analysis of structures based on a non-probabilistic ellipsoidal model24
Controlling the natural convection of a non-Newtonian fluid using a flexible fin24
An optimization technique for solving a class of nonlinear fractional optimal control problems: Application in cancer treatment24
The impact of virus carrier screening and actively seeking treatment on dynamical behavior of a stochastic HIV/AIDS infection model24
A data-driven surrogate model to rapidly predict microstructure morphology during physical vapor deposition24
A hybrid sensitivity function and Lanczos bidiagonalization-Tikhonov method for structural model updating: Application to a full-scale bridge structure24
Fractional model for the spread of COVID-19 subject to government intervention and public perception24
Improving sustainability and social responsibility of a two-tier supply chain investing in emission reduction technology24
An analytical spectral stiffness method for buckling of rectangular plates on Winkler foundation subject to general boundary conditions24
Barrier lake formation due to landslide impacting a river: A numerical study using a double layer-averaged two-phase flow model23
Robust support vector regression with generic quadratic nonconvex ε-insensitive loss23
Effect of mass transfer and diffusion of nanofluid on the thermal ablation of malignant cells during magnetic hyperthermia23
Thermal shock fracture of a crack in a functionally gradient half-space based on the memory-dependent heat conduction model23
Phytoplankton-zooplankton interaction under environmental stochasticity: Survival, extinction and stability23
Ensemble learning for remaining fatigue life prediction of structures with stochastic parameters: A data-driven approach23
Nonlinear coupling vibrations of graphene composite laminated sheets impacted by particles23
Model-free prescribed performance fixed-time control for wearable exoskeletons23
One-dimensional stress-driven nonlocal integral model with bi-Helmholtz kernel: Close form solution and consistent size effect23
Ensemble forecasting system based on decomposition-selection-optimization for point and interval carbon price prediction23
On new buckling solutions of moderately thick rectangular plates by the symplectic superposition method within the Hamiltonian-system framework23
Numerical solutions for tunnels excavated in strain-softening rock masses considering a combined support system23
A novel reliability-based design method based on quantile-based first-order second-moment23
Stick-slip suppression and speed tuning for a drill-string system via proportional-derivative control23
Optimal guidance strategy for crowd evacuation with multiple exits: A hybrid multiscale modeling approach23
Nonlocal steady-state thermoelastic analysis of functionally graded materials by using peridynamic differential operator23
A mortar segment-to-segment contact method for stabilized total-Lagrangian smoothed particle hydrodynamics23
Nonlinear axisymmetric bending analysis of strain gradient thin circular plate23
Disaster relief logistics under demand-supply incongruence environment: A sequential approach22
Thermal alternation induced vibration analysis of spacecraft with lateral solar arrays in orbit22
Analyses of thermal buckling and secondary instability of post-buckled S-FGM plates with porosities based on a meshfree method22
Throughput performance analysis of Automated Vehicle Storage and Retrieval Systems with multiple-tier shuttle vehicles22
Optimal freshness and carbon abatement decisions in a two-echelon cold chain22
Analytical model for meshing stiffness, load sharing, and transmission error for spur gears with profile modification under non-nominal load conditions22
Partial differential grey model based on control matrix and its application in short-term traffic flow prediction22
Integrating traffic routing optimization and train formation plan using simulated annealing algorithm22
Effect of pollutant source location on air pollutant dispersion around a high-rise building22
New damage evolution model of rock material22
The effect of various boundary conditions on the nonlinear dynamics of slightly curved pipes under thermal loading22
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