Applied Mathematical Modelling

(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 2020-05-01 to 2024-05-01.)
Selecting appropriate machine learning methods for digital soil mapping226
Atomic orbital search: A novel metaheuristic algorithm156
A novel interval dynamic reliability computation approach for the risk evaluation of vibration active control systems based on PID controllers116
Vibration isolation and energy harvesting integrated in a Stewart platform with high static and low dynamic stiffness108
A new-structure grey Verhulst model: Development and performance comparison105
A coupled incompressible SPH-Hamiltonian SPH solver for hydroelastic FSI corresponding to composite structures93
The dynamic characteristics of pure-quartic solitons and soliton molecules90
Forecasting the renewable energy consumption of the European countries by an adjacent non-homogeneous grey model86
Influence of homogenization models on size-dependent nonlinear bending and postbuckling of bi-directional functionally graded micro/nano-beams84
A novel time-delay multivariate grey model for impact analysis of CO2 emissions from China’s transportation sectors82
A novel car-following inertia gray model and its application in forecasting short-term traffic flow79
A novel Grey Bernoulli model for short-term natural gas consumption forecasting77
Large-amplitude oscillations of composite conical nanoshells with in-plane heterogeneity including surface stress effect70
Free vibration response of smart sandwich plates with porous CNT-reinforced and piezoelectric layers69
Analytical features of the SIR model and their applications to COVID-1969
Designing a Closed-loop Supply Chain Network Considering Social Factors; A Case Study on Avocado Industry69
A fractal Boussinesq equation for nonlinear transverse vibration of a nanofiber-reinforced concrete pillar68
A mesh stiffness method using slice coupling for spur gear pairs with misalignment and lead crown relief68
Free vibration analysis of a rotating graphene nanoplatelet reinforced pre-twist blade-disk assembly with a setting angle66
Active control of dynamic behaviors of graded graphene reinforced cylindrical shells with piezoelectric actuator/sensor layers66
The role of surrogate models in the development of digital twins of dynamic systems66
Design of a combined wind speed forecasting system based on decomposition-ensemble and multi-objective optimization approach65
Passenger flow control strategies for urban rail transit networks64
Design of multi innovation fractional LMS algorithm for parameter estimation of input nonlinear control autoregressive systems63
Modeling of memristor-based Hindmarsh-Rose neuron and its dynamical analyses using energy method62
Analytical solution for horizontal vibration of end-bearing single pile in radially heterogeneous saturated soil61
Recycling channel selection and coordination in dual sales channel closed-loop supply chains61
A computational framework of kinematic accuracy reliability analysis for industrial robots59
An optimization method for control parameters of underwater gliders considering energy consumption and motion accuracy59
Dynamical analysis of spinning functionally graded pipes conveying fluid with multiple spans59
An unequal adjacent grey forecasting air pollution urban model59
Robotic disassembly line balancing problem: A mathematical model and ant colony optimization approach59
Malaria and COVID-19 co-dynamics: A mathematical model and optimal control58
Harris Hawks optimization with information exchange56
Self-adaptive salp swarm algorithm for engineering optimization problems56
Review of fractional epidemic models55
A magnetic field coupling fractional step lattice Boltzmann model for the complex interfacial behavior in magnetic multiphase flows55
Stability and bifurcation analysis for a fractional prey–predator scavenger model55
A quantum-behaved simulated annealing algorithm-based moth-flame optimization method54
The fractional Kelvin-Voigt model for circumferential guided waves in a viscoelastic FGM hollow cylinder54
Material optimization of tri-directional functionally graded plates by using deep neural network and isogeometric multimesh design approach53
Vibration of viscoelastic axially graded beams with simultaneous axial and spinning motions under an axial load53
Feed-in tariff or tax-rebate regulation? Dynamic decision model for the solar photovoltaic supply chain52
An analytical model for rapid predicting molten pool geometry of selective laser melting (SLM)51
Long-range dependence and heavy tail characteristics for remaining useful life prediction in rolling bearing degradation50
A NURBS-based Multi-Material Interpolation (N-MMI) for isogeometric topology optimization of structures50
Nonlinear vibrations of functionally graded graphene reinforced composite cylindrical panels49
Coupled orbit-attitude dynamics and trajectory tracking control for spacecraft electromagnetic docking49
Elastic buckling and free vibration analysis of functionally graded Timoshenko beam with nonlocal strain gradient integral model48
Numerical approach for modeling fractional heat conduction in porous medium with the generalized Cattaneo model48
A new hybrid optimization ensemble learning approach for carbon price forecasting48
Multi-period dynamic distributionally robust pre-positioning of emergency supplies under demand uncertainty47
The scaled boundary finite element method based on the hybrid quadtree mesh for solving transient heat conduction problems46
Enhanced salp swarm algorithm based on firefly algorithm for unrelated parallel machine scheduling with setup times45
Optimal lot-sizing and shipment decisions in a three-echelon supply chain for growing items with inventory level- and expiration date-dependent demand45
Dynamics of perforated nanobeams subject to moving mass using the nonlocal strain gradient theory45
Nonlinear free and forced vibrations of fractional modeled viscoelastic FGM micro-beam45
An innovative fractional order LMS algorithm for power signal parameter estimation44
Lyapunov method for the stability analysis of uncertain fractional-order systems under input saturation44
Numerical investigation of cavitation-vortex interaction with special emphasis on the multistage shedding process44
On the vibrations of axially graded Rayleigh beams under a moving load44
Transient cavitating flow structure and acoustic analysis of a hydrofoil with whalelike wavy leading edge44
Further enhancement of the particle shifting technique: Towards better volume conservation and particle distribution in SPH simulations of violent free-surface flows44
Enhanced resolution of the continuity equation in explicit weakly compressible SPH simulations of incompressible free‐surface fluid flows43
Nonlinear parametric vibration of spinning pipes conveying fluid with varying spinning speed and flow velocity43
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 co43
A novel Hausdorff fractional NGMC(p,n) grey prediction model with Grey Wolf Optimizer and its applications in forecasting energy production and conversion of China43
Prediction of arch dam deformation via correlated multi-target stacking43
A full-stage creep model for rocks based on the variable-order fractional calculus43
Design of a nonlinear model for the propagation of COVID-19 and its efficient nonstandard computational implementation42
Analysis of wave propagation in functionally graded piezoelectric composite plates reinforced with graphene platelets42
Three-dimensional topology optimization of a fluid–structure system using body-fitted mesh adaption based on the level-set method42
An improved whale optimization algorithm with armed force program and strategic adjustment42
A lattice Boltzmann modelling of electrohydrodynamic conduction phenomenon in dielectric liquids41
On the characteristics of a quasi-zero-stiffness vibration isolator with viscoelastic damper41
Mixed convection heat transfer by nanofluids in a cavity with two oscillating flexible fins: A fluid–structure interaction approach41
Non-probabilistic polygonal convex set model for structural uncertainty quantification41
A new mesh stiffness model for modified spur gears with coupling tooth and body flexibility effects40
A bounce back-immersed boundary-lattice Boltzmann model for curved boundary40
A fractional nonlocal time-space viscoelasticity theory and its applications in structural dynamics39
Modeling airborne pathogen transport and transmission risks of SARS-CoV-239
Nonlinear control strategies for a UAV carrying a load with swing attenuation39
In-plane quasi-zero-stiffness vibration isolator using magnetic interaction and cables: Theoretical and experimental study38
Dissipative analysis for high speed train systems via looped-functional and relaxed condition methods38
Thermodynamic modeling of viscoelastic thin rotating microbeam based on non-Fourier heat conduction38
A lateral resupply blood supply chain network design under uncertainties38
Impact of product perishability on agri-food supply chains design38
Dynamic response analysis of vehicle and asphalt pavement coupled system with the excitation of road surface unevenness38
A combined radial basis function and adaptive sequential sampling method for structural reliability analysis37
A modified Artificial Bee Colony algorithm for structural damage identification under varying temperature based on a novel objective function37
A modal analysis of vibration response of a cracked fluid-filled cylindrical shell37
Dynamic modeling and fuzzy compensation sliding mode control for flexible manipulator servo system37
Energy balance and synchronization via inductive-coupling in functional neural circuits37
Numerical analysis on stability of functionally graded graphene platelets (GPLs) reinforced dielectric composite plate37
Numerical solution of time-fractional fourth-order reaction-diffusion model arising in composite environments37
Optimal control of variable-order fractional model for delay cancer treatments37
Density waves in car-following model for autonomous vehicles with backward looking effect37
Rigorous solution for kinematic response of floating piles subjected to vertical P-wave37
Reliability analysis of k-out-of-n: F balanced systems with multiple functional sectors36
Vectorial surrogate modeling method for multi-objective reliability design36
Variable order fractional grey model and its application36
Nonlinear dynamics of fluid-conveying composite pipes subjected to time-varying axial tension in sub- and super-critical regimes35
Applying nonlocal strain gradient theory to size-dependent analysis of functionally graded carbon nanotube-reinforced composite nanoplates35
Dynamic modelling and vibration characteristics analysis for the bolted joint with spigot in the rotor system35
Large Eddy simulation of ventilated cavitation with an insight on the correlation mechanism between ventilation and vortex evolutions34
Optimal allocation of regional water resources based on multi-objective dynamic equilibrium strategy34
Transfer matrix method for the free and forced vibration analyses of multi-step Timoshenko beams coupled with rigid bodies on springs34
Active learning relevant vector machine for reliability analysis34
Bifurcation analysis of a heterogeneous continuum traffic flow model34
Dynamic torsional impedance of large-diameter pipe pile for offshore engineering: 3D analytical solution34
Cooperative car-following control with electronic throttle and perceived headway errors on gyroidal roads34
Investigating the performance of tri-stable magneto-piezoelastic absorber in simultaneous energy harvesting and vibration isolation34
Modeling large amplitude vibration of pretwisted hybrid composite blades containing CNTRC layers and matrix cracked FRC layers33
The dynamical motion of a gyrostat for the irrational frequency case33
Mathematical model of turbulence based on the dynamics of two fluids33
A novel robust fuzzy mean-UPM model for green closed-loop supply chain network design under distribution ambiguity33
A linear uncertain pharmacokinetic model driven by Liu process33
Dynamic modeling and vibration prediction of an industrial robot in manufacturing32
Free vibration of the one-dimensional piezoelectric quasicrystal microbeams based on modified couple stress theory32
Numerical study of bifurcation blood flows using three different non-Newtonian constitutive models32
Modeling approach for flexible shaft-disk-drum rotor systems with elastic connections and supports32
A novel and efficient method for damage detection in beam-like structures solely based on damaged structure data and using mode shape curvature estimation32
Study on theoretical modeling and vibration performance of an assembled cylindrical shell-plate structure with whirl motion32
Global analysis of the COVID-19 pandemic using simple epidemiological models32
Nonlinear forced vibration of in-plane bi-directional functionally graded materials rectangular plate with global and localized geometrical imperfections31
Partial differential grey model based on control matrix and its application in short-term traffic flow prediction31
The threshold of a deterministic and a stochastic SIQS epidemic model with varying total population size31
Reliability analysis for multi-component systems with interdependent competing failure processes31
An improved high order moment-based saddlepoint approximation method for reliability analysis31
Quantized fixed-time fault-tolerant attitude control for hypersonic reentry vehicles31
Condition-based maintenance with imperfect inspections for continuous degradation processes30
Reliability modeling of two-unit cold standby systems: A periodic switching approach30
A new Poincaré map for investigating the complex walking behavior of the compass-gait biped robot30
Bending, vibration, buckling analysis of bi-directional FG porous microbeams with a variable material length scale parameter30
An open queuing network-based tool for performance estimations in a shuttle-based storage and retrieval system30
Dispersion relations of in-plane elastic waves in nano-scale one dimensional piezoelectric semiconductor/piezoelectric dielectric phononic crystal with the consideration of interface effect30
Exploration of the encased nanocomposites functionally graded porous arches: Nonlinear analysis and stability behavior30
Spreading and rebound dynamics of sub-millimetre urea-water-solution droplets impinging on substrates of varying wettability30
Transmission dynamics and control methodology of COVID-19: A modeling study30
Synchronization and stability of a far-resonant vibrating system with three rollers driven by two vibrators30
Allee effect in prey’s growth reduces the dynamical complexity in prey-predator model with generalist predator30
Simultaneous energy harvesting and vibration isolation via quasi-zero-stiffness support and radially distributed piezoelectric cantilever beams30
Kinetic analysis of polyhedral block system using an improved potential-based penalty function approach for explicit discontinuous deformation analysis30
Cooperative optimization of velocity planning and energy management for connected plug-in hybrid electric vehicles30
Generalized isogeometric boundary element method for uncertainty analysis of time-harmonic wave propagation in infinite domains29
An innovative flower pollination algorithm for continuous optimization problem29
Bi-nonlinear vibration model of tubing string in oil & gas well and its experimental verification29
Correlation propagation for uncertainty analysis of structures based on a non-probabilistic ellipsoidal model29
Shifted Legendre Polynomials algorithm used for the dynamic analysis of viscoelastic pipes conveying fluid with variable fractional order model29
An intensify atom search optimization for engineering design problems29
Stability analysis of heterogeneous traffic flow influenced by memory feedback control signal29
Numerical simulation of the performance of a centrifugal pump with a semi-open impeller under normal and cavitating conditions29
Multiscale analysis on free vibration of functionally graded graphene reinforced PMMA composite plates29
A hybrid metaheuristic algorithm for identification of continuous-time Hammerstein systems29
Mitigation of railway-induced vibrations by using periodic wave impeding barriers29
Enriched mixed numerical manifold formulation with continuous nodal gradients for dynamics of fractured poroelasticity29
Dynamic analysis of multilayered unsaturated poroelastic media subjected to a vertical time-harmonic load29
Model-free prescribed performance fixed-time control for wearable exoskeletons28
Controlling the natural convection of a non-Newtonian fluid using a flexible fin28
An isogeometric boundary element approach for topology optimization using the level set method28
Numerical solutions for tunnels excavated in strain-softening rock masses considering a combined support system28
Dynamic behaviors of single- and multi-span functionally graded porous beams with flexible boundary constraints28
Fractional model for the spread of COVID-19 subject to government intervention and public perception28
Variational iteration and successive approximation methods for a SIR epidemic model with constant vaccination strategy28
An optimization technique for solving a class of nonlinear fractional optimal control problems: Application in cancer treatment27
The impact of virus carrier screening and actively seeking treatment on dynamical behavior of a stochastic HIV/AIDS infection model27
A hybrid sensitivity function and Lanczos bidiagonalization-Tikhonov method for structural model updating: Application to a full-scale bridge structure27
Mechanical characteristics and nonlinear dynamic response analysis of rotor-bearing-coupling system27
The phase-field model with an auto-calibrated degradation function based on general softening laws for cohesive fracture27
A possibilistic-robust-fuzzy programming model for designing a game theory based blood supply chain network27
Mathematical modeling and bifurcation analysis of pro- and anti-tumor macrophages27
Nonlinear coupling vibrations of graphene composite laminated sheets impacted by particles27
Stability and bifurcation analysis of a buckled beam via active control27
A cooperative game theory approach for location-routing-inventory decisions in humanitarian relief chain incorporating stochastic planning26
Fully discrete energy stable scheme for a phase-field moving contact line model with variable densities and viscosities26
Throughput performance analysis of Automated Vehicle Storage and Retrieval Systems with multiple-tier shuttle vehicles26
Homoclinic bifurcations and chaotic dynamics of non-planar waves in axially moving beam subjected to thermal load26
A mortar segment-to-segment contact method for stabilized total-Lagrangian smoothed particle hydrodynamics26
Optimal periodic preventive maintenance policies for systems subject to shocks26
Nonlocal dual-phase-lagging thermoelastic damping in rectangular and circular micro/nanoplate resonators26
Analytical model for meshing stiffness, load sharing, and transmission error for spur gears with profile modification under non-nominal load conditions26
Thermal alternation induced vibration analysis of spacecraft with lateral solar arrays in orbit26
Ensemble forecasting system based on decomposition-selection-optimization for point and interval carbon price prediction26
Ensemble learning for remaining fatigue life prediction of structures with stochastic parameters: A data-driven approach25
Dynamic modeling and analysis of wind turbine drivetrain considering the effects of non-torque loads25
A heuristic method for the supplier selection and order quantity allocation problem25
Nonlocal steady-state thermoelastic analysis of functionally graded materials by using peridynamic differential operator25
One-dimensional stress-driven nonlocal integral model with bi-Helmholtz kernel: Close form solution and consistent size effect25
Optimal freshness and carbon abatement decisions in a two-echelon cold chain25
Unraveling the dynamics of the Omicron and Delta variants of the 2019 coronavirus in the presence of vaccination, mask usage, and antiviral treatment25
Nonlinear axisymmetric bending analysis of strain gradient thin circular plate25
An analytical spectral stiffness method for buckling of rectangular plates on Winkler foundation subject to general boundary conditions25
Analysis of laminated piezoelectric composite plates using an inverse hyperbolic coupled plate theory25
Optimal guidance strategy for crowd evacuation with multiple exits: A hybrid multiscale modeling approach25
Effect of mass transfer and diffusion of nanofluid on the thermal ablation of malignant cells during magnetic hyperthermia25
FPGA Realization of Fractional Order Neuron25
Integrating traffic routing optimization and train formation plan using simulated annealing algorithm25
Crack tip asymptotic fields in anisotropic planes: Importance of higher order terms25
Dynamic analysis of multiple inclined and frictional impact-contacts in multi-branch robotic systems25
Robust support vector regression with generic quadratic nonconvex ε-insensitive loss25
The effect of various boundary conditions on the nonlinear dynamics of slightly curved pipes under thermal loading25
Three-dimensional vehicle-ballasted track-subgrade interaction: Model construction and numerical analysis25
Free vibration of self-powered nanoribbons subjected to thermal-mechanical-electrical fields based on a nonlocal strain gradient theory25
Reliability analysis for Weibull distribution with homogeneous heavily censored data based on Bayesian and least-squares methods25
An application of neural networks to the prediction of aerodynamic coefficients of aerofoils and wings24
An improved implicit method with dissipation control capability: The simple generalized composite time integration algorithm24
A data-driven surrogate model to rapidly predict microstructure morphology during physical vapor deposition24
Event-Triggered Impulsive Controller Design for Synchronization of Delayed Chaotic Neural Networks and Its Fractal Reconstruction: An Application to Image Encryption24
Analyses of thermal buckling and secondary instability of post-buckled S-FGM plates with porosities based on a meshfree method24
Improving sustainability and social responsibility of a two-tier supply chain investing in emission reduction technology24
Uniform finite-time stability of nonlinear impulsive time-varying systems24
Postbuckling analysis of multi-directional perforated FGM plates using NURBS-based IGA and FCM24
Effect of pollutant source location on air pollutant dispersion around a high-rise building24
Dynamics of an HIV Infection Model with Two Infection Routes and Evolutionary Competition between Two Viral Strains24
Isogeometric analysis for non-classical Bernoulli-Euler beam model incorporating microstructure and surface energy effects24
Numerical investigation of condensation shock and re-entrant jet dynamics around a cavitating hydrofoil using a dynamic cubic nonlinear subgrid-scale model24
Phytoplankton-zooplankton interaction under environmental stochasticity: Survival, extinction and stability24
On new buckling solutions of moderately thick rectangular plates by the symplectic superposition method within the Hamiltonian-system framework24
A novel reliability-based design method based on quantile-based first-order second-moment23
Stochastic resonance in a piecewise bistable energy harvesting model driven by harmonic excitation and additive Gaussian white noise23
Stick-slip suppression and speed tuning for a drill-string system via proportional-derivative control23
Update to the MUSIG model in ANSYS CFX for reliable modelling of bubble coalescence and breakup23
A two-stage multi-damage detection approach for composite structures using MKECR-Tikhonov regularization iterative method and model updating procedure23
An improved mesh stiffness model of helical gear pair considering axial mesh force and friction force influenced by surface roughness under EHL condition23
Nonlinear random vibrations of functionally graded porous nanobeams using equivalent linearization method23
3D dynamic analysis of layered transversely isotropic saturated media subjected to circular moving loads23
Impact response analysis of stiffened sandwich functionally graded porous materials doubly-curved shell with re-entrant honeycomb auxetic core23
New damage evolution model of rock material23
A novel two-stage framework for reducing ergonomic risks of a mixed-model parallel U-shaped assembly-line23
Adaptive disturbance observer-based control of hydraulic systems with asymptotic stability23
Energy harvesting of a fluid-conveying piezoelectric pipe23
A discrete wavelet transform and singular value decomposition-based digital video watermark method23
Fractional order theory of Cattaneo-type thermoelasticity using new fractional derivatives23
Accurate and real-time structural topology prediction driven by deep learning under moving morphable component-based framework22
Non-Newtonian phase-change heat transfer of nano-enhanced octadecane with mesoporous silica particles in a tilted enclosure using a deformed mesh technique22
Dynamic modeling and experimental study of a complex fluid-conveying pipeline system with series and parallel structures22
A coupled model for investigating the interfacial and fatigue damage evolution of slab tracks in vehicle-track interaction22
Novel biogeography-based optimization algorithm with hybrid migration and global-best Gaussian mutation22
Memory response on magneto-thermoelastic vibrations on a viscoelastic micro-beam exposed to a laser pulse heat source22
Active flow control optimisation on SD7003 airfoil at pre and post-stall angles of attack using synthetic jets22
A theoretical evaluation method for mechanical sealing integrity of cementing sheath22
Reliability and maintenance analysis of a degradation-threshold-shock model for a system in a dynamic environment22
Electroosmotic flow and heat transfer in a heterogeneous circular microchannel22
Mathematical modeling of heterogeneous metal foams for phase-change heat transfer enhancement of latent heat thermal energy storage units22
Disaster relief logistics under demand-supply incongruence environment: A sequential approach22
A refined analytical model for the mesh stiffness calculation of plastic gear pairs22
Multi-parameter grey prediction model based on the derivation method21
Nonlinear transverse vibration of a hyperelastic beam under harmonic axial loading in the subcritical buckling regime21
Optimal pricing and complex analysis for low-carbon apparel supply chains21
Optimal plan for Wiener constant-stress accelerated degradation model21