Keywords: طرح اختلاف محدود; Staggered-grid; Finite-difference scheme; Numerical dispersion; Acoustic wave-equation modeling;
مقالات ISI طرح اختلاف محدود (ترجمه نشده)
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Keywords: طرح اختلاف محدود; 65M06; 35K57; 35K61; Two-dimensional model; Nonlinear time-dependent partial differential equation; Finite-difference scheme; Symmetry preservation; Boundedness and positivity preservation;
Keywords: طرح اختلاف محدود; Heat evolution; Periodical heating source; Multilayer cylindrical structure; Finite-difference scheme; OpenCL realization44.10. + i
Keywords: طرح اختلاف محدود; Finite-difference scheme; Maximum principle; Non-linear Biot’s model
Keywords: طرح اختلاف محدود; Dirac equation; von Neumann equation; Finite-difference scheme; Staggered grid; Fermion doubling; Topological insulator
Keywords: طرح اختلاف محدود; Finite-difference scheme; Turbulent flows; Rayleigh-Bénard convection; Taylor-Couette flow; Parallelization;
Keywords: طرح اختلاف محدود; Dispersion error; Finite-difference scheme; Finite-difference stencil; Numerical modeling; Optimized scheme; Scalar wave; Wave propagation
AFiD-GPU: A versatile Navier-Stokes solver for wall-bounded turbulent flows on GPU clusters
Keywords: طرح اختلاف محدود; GPU; Parallelization; Turbulent flow; Finite-difference scheme; Rayleigh-Bénard convection; Plane Couette flow;
Research papersSingle-well push-pull test in transient Forchheimer flow field
Keywords: طرح اختلاف محدود; Finite-difference scheme; Radial dispersion; Parameter estimation;
Single-cone finite difference scheme for the (2+1)D Dirac von Neumann equation
Keywords: طرح اختلاف محدود; Dirac equation; Von Neumann equation; Finite-difference scheme; Staggered grid; Fermion doubling; Topological insulator;
A skew symmetry-preserving computational technique for obtaining the positive and the bounded solutions of a time-delayed advection–diffusion–reaction equation
Keywords: طرح اختلاف محدود; 65M06; 35L70; 35Q35; 15B48Time-delayed advection–diffusion–reaction equation; Finite-difference scheme; Skew symmetry preservation; Positivity preservation; Boundedness preservation
Evolution of the solidification front of a binary mixture
Keywords: طرح اختلاف محدود; Binary alloy solidification; Moving boundary problem; Fixed-domain transformation; Non-planar interface; Finite-difference scheme
A bounded numerical method for approximating a hyperbolic and convective generalization of Fisher’s model with nonlinear damping
Keywords: طرح اختلاف محدود; Time-delayed convection–diffusion–reaction equation; Finite-difference scheme; Skew-symmetry preservation; Positivity preservation; Boundedness preservation
Large-scale forcing with less communication in finite-difference simulations of stationary isotropic turbulence
Keywords: طرح اختلاف محدود; Homogeneous isotropic turbulence; Finite-difference scheme; Parallel computing; Large-scale forcing
Optimal control of ice formation in living cells during freezing
Keywords: طرح اختلاف محدود; Cryopreservation; Cooling rate differential game; Value function; Optimal control; Finite-difference scheme
Stokes’ first problem for some non-Newtonian fluids: Results and mistakes
Keywords: طرح اختلاف محدود; Stokes’ first problem; Second-grade fluid; Oldroyd-B fluid; Integral transform methods; Finite-difference scheme
On the simulation of the energy transmission in the forbidden band-gap of a spatially discrete double sine-Gordon system
Keywords: طرح اختلاف محدود; Double sine-Gordon chain; Difference-differential equation; Finite-difference scheme; Energy scheme; Nonlinear supratransmission
Evolution of solitary waves for a perturbed nonlinear Schrödinger equation
Keywords: طرح اختلاف محدود; Soliton; Nonlinear Schrödinger equation; Solitary wave tails; Finite-difference scheme; Discrete NLS equation
A computational technique with multiple properties of consistency in the study of modified β-Fermi-Pasta-Ulam chains
Keywords: طرح اختلاف محدود; Anharmonic chains; Correction for continuity; Dissipation; Finite-difference scheme; Consistency properties; Nonlinear supratransmission;
Numerical treatment of the spherically symmetric solutions of a generalized Fisher–Kolmogorov–Petrovsky–Piscounov equation
Keywords: طرح اختلاف محدود; Time-delayed model; Nonlinear hyperbolic boundary-value problem; Generalized Fisher–KPP equation; Heaviside equation; Nonlinear population dynamics; Asymptotically stable solutions; Positivity of solutions; Finite-difference scheme
A linearized finite-difference method for the solution of some mixed concave and convex non-linear problems
Keywords: طرح اختلاف محدود; NLS equation; Finite-difference scheme; Stability analysis; Consistency; Convergence;
On the propagation of binary signals in damped mechanical systems of oscillators
Keywords: طرح اختلاف محدود; Finite-difference scheme; Sine-Gordon equation; Nonlinear chains of oscillators; Nonlinear supratransmission;
Variational approach to non-linear boundary value problems for elasto-plastic incompressible bending plate
Keywords: طرح اختلاف محدود; 73C50; 47H07Elasto-plastic bending problem; Non-linear monotone operator; Convexity argument; Monotone iteration scheme; Finite-difference scheme
The layer-resolving transformation and mesh generation for quasilinear singular perturbation problems
Keywords: طرح اختلاف محدود; Convection–diffusion; Quasilinear boundary-value problem; Singular perturbation; Layer-resolving transformation; Mesh generation; Bakhvalov mesh; Finite-difference scheme
Three-dimensional non-cohesive earthen dam breach model. Part 1: Theory and methodology
Keywords: طرح اختلاف محدود; Three-dimensional dam breach model; Two-dimensional shallow water equations; Three-dimensional slope stability; Erosion; Erosion rate; Soil transportation capacity; Total variation diminishing; Finite-difference scheme; Dam-breach outflow
Analysis of stability and accuracy of finite-difference schemes on a skewed mesh
Keywords: طرح اختلاف محدود; Mesh skewness; Numerical stability; Numerical accuracy; Finite-difference scheme; Advection–diffusion equation
Poisson-boltzmann equation boundary conditions for biological applications
Keywords: طرح اختلاف محدود; Poisson-Boltzmann equation; Electrostatics in biology; Boundary conditions, Nonlinear partial differential equations; Finite-difference scheme;
Mathematical model and numerical simulation of the dynamics of flocculated suspensions in clarifier-thickeners
Keywords: طرح اختلاف محدود; Clarifier-thickener units; Discontinuous flux; Degenerate diffusion; Uniqueness; Stationary solutions; Finite-difference scheme; Numerical simulation;