Keywords: راه حل های تحلیلی; Analytical solutions; Thawing front; Phase change; Thermohydraulic models; Stefan problem; Freezing and thawing
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Keywords: راه حل های تحلیلی; Geothermal reservoirs; Analytical solutions; Reinjection; Thermal front; Heterogeneous porous media; Heat transport
Keywords: راه حل های تحلیلی; Dynamics of chromatography; General rate model; Analytical solutions; Moments analysis; Finite volume schemes
Keywords: راه حل های تحلیلی; Method of characteristics; Nonisothermal; Two-phase; Immiscible displacement; Analytical solutions
Keywords: راه حل های تحلیلی; Diffusive wave; Backwater effects; Analytical solutions; Channel routing; Boundary conditions
Keywords: راه حل های تحلیلی; Piezoelectric bimorph; Piezoceramic disk; Multilayer; Vibration; Mode shape; Analytical solutions
Keywords: راه حل های تحلیلی; Finite element discretized symplectic method; Thermal stress intensity factor; Symplectic method; Analytical solutions;
Keywords: راه حل های تحلیلی; Liquid chromatography; Two-dimensional model; Finite Hankel and Laplace transformations; Analytical solutions; Moments analysis; Dynamic simulation;
Keywords: راه حل های تحلیلی; Doubly curved panel; Functionally graded piezoelectric material; Free vibration; Transient responses; Analytical solutions; Third order shear deformation shell theory;
Keywords: راه حل های تحلیلی; Climate warming; Thermal regime; Permafrost thawing; Analytical solutions; Numerical modeling; Cryohydrogeology;
Keywords: راه حل های تحلیلی; Fuel cells; Mathematical modeling; Model reduction; Analytical solutions;
Keywords: راه حل های تحلیلی; Nonaqueous phase liquid; Residual saturation; NAPL dissolution; Analytical solutions; Radial aqueous-phase-liquid flow; Porous media;
Keywords: راه حل های تحلیلی; Heat transfer; Dust-like fractals; Analytical solutions;
Analytical optical soliton solutions of (2+1)-dimensional Schrödinger equation with PT-like potentials
Keywords: راه حل های تحلیلی; Schrödinger equation; PT-symmetry; Solitons; Analytical solutions;
Optical pulse propagation in monomode fibers with higher order nonlinear Schrödinger equation
Keywords: راه حل های تحلیلی; Higher order nonlinear Schrödinger equation; Analytical solutions; Optical fibers;
Benchmark problems in aerosol evolution: Comparison of some exact and DSMC results
Keywords: راه حل های تحلیلی; Aerosols; Analytical solutions; DSMC;
Derivation of complete crack-tip stress expansions from Westergaard-Sanford solutions
Keywords: راه حل های تحلیلی; Analytical solutions; Crack-tip fields; Williams series; Higher order terms;
Natural convection with damped thermal flux in a vertical circular cylinder
Keywords: راه حل های تحلیلی; Natural convection; Damped thermal flux; Caputo derivative; Analytical solutions;
Exact solutions of inflected functionally graded nano-beams in integral elasticity
Keywords: راه حل های تحلیلی; Bernoulli-Euler nano-beams; Size effects; Nonlocal integral models; CNT; Analytical solutions;
Research PaperThe analytical solutions of the harvesting Verhulst's evolution equation
Keywords: راه حل های تحلیلی; Verhulst; Non-autonomous; Modeling; Dependence on parameters; Analytical solutions;
Fractional sub-equation method to space-time fractional Calogero-Degasperis and potential Kadomtsev-Petviashvili equations
Keywords: راه حل های تحلیلی; Fractional sub-equation method; Fractional differential equation; Modified Riemann-Liouville derivative; Mittag-leffler function; Analytical solutions;
Analytical solutions for the radial Scarf II potential
Keywords: راه حل های تحلیلی; Scarf II potential; Analytical solutions; Radial potentials; S-matrix; Bound states; Resonances;
On the Majorana fermion subject to a linear confinement
Keywords: راه حل های تحلیلی; Majorana fermions; Linear scalar potential; Relativistic wave equations; Analytical solutions;
Research papersStrategies for avoiding errors and ambiguities in the analysis of oscillatory pumping tests
Keywords: راه حل های تحلیلی; Oscillatory pumping; Steady-periodic flow; Pumping test analysis; Analytical solutions; Oscillatory hydraulic tomography;
Computer simulation of two chemostat models for one nutrient resource
Keywords: راه حل های تحلیلی; Chemostat dynamic models; Analytical solutions; Numerical methods; Simulation
Multiscale modelling of transport phenomena for materials with n-layered embedded fibres. Part II: Investigation of fibre packing effects
Keywords: راه حل های تحلیلی; Homogenization; Analytical solutions; Composite materials; Finite element; Image analysis; Diffusion;
Analysis of general rate model of linear chromatography considering finite rates of the adsorption and desorption steps
Keywords: راه حل های تحلیلی; Chromatography; General rate model; Dynamic sorption kinetics; Analytical solutions; Moment analysis;
A Comprehensive Voltammetric Characterisation of ECE Processes
Keywords: راه حل های تحلیلی; ECE mechanism; Analytical solutions; Microelectrodes; Voltammetry; Chronoamperometry;
ADVAN-style analytical solutions for common pharmacokinetic models
Keywords: راه حل های تحلیلی; ADVAN; Analytical solutions; Intravenous; Methods; Modelling; NONMEM; Oral; Pharmacokinetics; R-language; Simulations
Three-dimensional transport theory: Evaluation of analytical expressions of Williams and verification of MCNP
Keywords: راه حل های تحلیلی; 3-D transport theory; Analytical solutions; MCNP
Improved analytical solutions for the response of underground excavations in rock masses satisfying the generalized Hoek-Brown failure criterion
Keywords: راه حل های تحلیلی; Tunnel; Generalized Hoek-Brown criterion; Convergence; Analytical solutions; Normalized criterion; Edge effects;
Coupled flow and heat transfer in viscoelastic fluid with Cattaneo–Christov heat flux model
Keywords: راه حل های تحلیلی; Upper-convected Maxwell fluid; Boundary layer flow; Cattaneo–Christov heat flux model; Analytical solutions; Slip boundary
Osmotic dehydration of pineapple (Ananas comosus) pieces in cubical shape described by diffusion models
Keywords: راه حل های تحلیلی; Optimization; Boundary conditions of the first and third kind; Cubical configuration; Analytical solutions;
Carreau fluid model for blood flow through a tapered artery with a stenosis
Keywords: راه حل های تحلیلی; Carreau fluid; Blood flow; Tapered artery; Stenosis; Analytical solutions
Analytical model of CO2 storage efficiency in saline aquifer with vertical heterogeneity
Keywords: راه حل های تحلیلی; Carbon capture and storage (CCS); Vertical heterogeneity; Supercritical CO2–brine displacement model; Analytical solutions; Percolating resistance; Sweep efficiency
From bicrystals to spherical inclusions: A superposition method to derive analytical expressions of stress fields in presence of plastic strain gradients
Keywords: راه حل های تحلیلی; Bicrystals; Inclusion problems; Eigenstrains; Plastic strain gradients; Stress accommodation; Analytical solutions; Anisotropic elasticity
Benchmark tests based on the Couette viscometer—II: Thermo-elasto-plastic solid behaviour in small and large strains
Keywords: راه حل های تحلیلی; Benchmark test; Couette viscometer; Analytical solutions; Thermo-elasto-plasticity; Strong thermomechanical coupling; P1+/P1 finite element
Transient electro-osmotic flow of Oldroyd-B fluids in a straight pipe of circular cross section
Keywords: راه حل های تحلیلی; Transient flow; Electro-osmosis; Integral transform; Viscoelastic fluids; Analytical solutions;
A class of blowup and global analytical solutions of the viscoelastic Burgersʼ equations
Keywords: راه حل های تحلیلی; Viscoelastic Burgers; Analytical solutions; Non-Newtonian fluid; Perturbational method; Blowup; Global;
Dynamic buckling of functionally graded graphene nanoplatelets reinforced composite shallow arches under a step central point load
Keywords: راه حل های تحلیلی; Limit point dynamic buckling; Bifurcation dynamic buckling; Functionally graded nanocomposite; Graphene nanoplatelets; Shallow arch; Step load; Analytical solutions;
Analytical solution to problems of hydraulic jump in horizontal triangular channels
Keywords: راه حل های تحلیلی; Analytical solutions; Depth ratio; Ditch irrigation; Hydraulic jump; Triangular channels
Analytical solutions of the time-evolution of the populations for D1 transition line of the optically-pumped alkali-metal atoms with I = 3/2
Keywords: راه حل های تحلیلی; 32.80.Xx; 32.90.+a; 32.30.−rOptical pumping; Analytical solutions; D1 transition line
Analytical solutions for coagulation and condensation kinetics of composite particles
Keywords: راه حل های تحلیلی; Disperse systems; Coagulation/condensation; Kinetic equation; Composite particles; Analytical solutions; Verification of numerical programs
Application of the two-dimensional differential transform method to heat conduction problem for heat transfer in longitudinal rectangular and convex parabolic fins
Keywords: راه حل های تحلیلی; Two-dimensional DTM; Analytical solutions; Fins; Rectangular and convex profiles; Temperature dependent thermal properties
Energy-consistent shear coefficients for beams with circular cross sections and radially inhomogeneous materials
Keywords: راه حل های تحلیلی; Shear correction factor; Shear stiffness; Shear deformation; Functionally graded materials; Circular cross section; Radial inhomogeneity; Saint-Venant solution; Analytical solutions; Timoshenko beam
Effective longitudinal shear moduli of periodic fibre-reinforced composites with functionally-graded fibre coatings
Keywords: راه حل های تحلیلی; Micromechanics; Fibre-reinforced composite materials; Functionally graded coating; Effective moduli; Asymptotic homogenization; Analytical solutions; Stress concentrations
Moisture diffusivity in mortars of different water–cement ratios and in narrow ranges of air humidity changes
Keywords: راه حل های تحلیلی; Cement-based mortar; Narrow range humidity; Experiments; Analytical solutions; Diffusivity
New solutions of the Gardner equation: Analytical and numerical analysis of its dynamical understanding
Keywords: راه حل های تحلیلی; Gardner equation; Bifurcations; Planar dynamical systems; Phase portraits; Analytical solutions; Numerical solutions
Contact analyses for anisotropic half-space coated with an anisotropic layer: Effect of the anisotropy on the pressure distribution and contact area
Keywords: راه حل های تحلیلی; Contact; Anisotropic; Coating; Analytical solutions; Green function; Half space; Three-dimensional elasticity solution
Evaluation of weakly compressible SPH variants using derived analytical solutions of Taylor–Couette flows
Keywords: راه حل های تحلیلی; Smoothed particle hydrodynamics; Navier–Stokes equations; Taylor–Couette flows; Analytical solutions; Pseudo-incompressible flows