Keywords: روش ضمنی جهت متناوب; 65F30; 65N35; 15A18; 15A24; Low rank approximation; Sylvester matrix equation; Fast Poisson solver; Alternating direction implicit method; Singular values; Displacement structure;
مقالات ISI روش ضمنی جهت متناوب (ترجمه نشده)
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Keywords: روش ضمنی جهت متناوب; Fractional diffusion–wave equation; Fully discrete spectral method; Alternating direction implicit method; Semi-infinite channel; Error analysis
Keywords: روش ضمنی جهت متناوب; Fractional wave equation; Alternating direction implicit method; Left Riemann-Liouville fractional derivative; Right Riemann-Liouville fractional derivative; Weighted numerical algorithm;
Keywords: روش ضمنی جهت متناوب; Multi-dimensional hyperbolic damped wave equation; Implicit scheme; Super stable method; Alternating direction implicit method; Maximum absolute errors
Keywords: روش ضمنی جهت متناوب; Space fractional convection diffusion equation; Numerical stability; Crank–Nicolson scheme; Two-dimensional two-sided fractional PDE; Alternating direction implicit method
Numerical analysis of a leapfrog ADI-FDTD method for Maxwell's equations in lossy media
Keywords: روش ضمنی جهت متناوب; Maxwell's equations; Alternating direction implicit method; FDTD method;
An efficient Galerkin spectral method for two-dimensional fractional nonlinear reaction-diffusion-wave equation
Keywords: روش ضمنی جهت متناوب; Nonlinear fractional differential equation; Alternating direction implicit method; Legendre-Galerkin spectral method; Stability and convergence;
Fast ADI method for high dimensional fractional diffusion equations in conservative form with preconditioned strategy
Keywords: روش ضمنی جهت متناوب; High dimensional two-sided fractional diffusion equation; Alternating direction implicit method; Approximate inverse preconditioner; Krylov subspace method; Superlinear convergence; Fast Fourier transform;
High-order ADI schemes for diffusion equations with mixed derivatives in the combination technique
Keywords: روش ضمنی جهت متناوب; High-order-scheme; Sparse grids; Combination technique; Alternating direction implicit method
Domain decomposition based coupling between the lattice Boltzmann method and traditional CFD methods – Part II: Numerical solution to the backward facing step flow
Keywords: روش ضمنی جهت متناوب; Lattice Boltzmann method; Alternating direction implicit method; Navier–Stokes; Backward step; Cache optimization; Domain decomposition
Crank-Nicolson ADI Galerkin finite element method for two-dimensional fractional FitzHugh-Nagumo monodomain model
Keywords: روش ضمنی جهت متناوب; Alternating direction implicit method; Galerkin finite element method; Fractional FitzHugh-Nagumo monodomain model; Fractional reaction diffusion equation;
A spatial sixth-order alternating direction implicit method for two-dimensional cubic nonlinear Schrödinger equations
Keywords: روش ضمنی جهت متناوب; Cubic nonlinear Schrödinger equation; Combined compact difference scheme; Alternating direction implicit method; Unconditional stability; Solution pattern; Wave-like motion;
An ADI extrapolated Crank-Nicolson orthogonal spline collocation method for nonlinear reaction-diffusion systems on evolving domains
Keywords: روش ضمنی جهت متناوب; Nonlinear reaction-diffusion systems; Evolving domains; Schnakenberg model; Alternating direction implicit method; Orthogonal spline collocation; Extrapolated Crank-Nicolson method;
A CCD-ADI method for unsteady convection-diffusion equations
Keywords: روش ضمنی جهت متناوب; Unsteady convection-diffusion equation; Combined compact difference scheme; Alternating direction implicit method; Unconditionally stable;
Domain decomposition based coupling between the lattice Boltzmann method and traditional CFD methods—Part I: Formulation and application to the 2-D Burgers’ equation
Keywords: روش ضمنی جهت متناوب; Lattice Boltzmann method; Alternating direction implicit method; Burgers’ equation; Cache optimization; Domain decomposition
Alternating direction implicit Galerkin finite element method for the two-dimensional fractional diffusion-wave equation
Keywords: روش ضمنی جهت متناوب; Fractional diffusion-wave equation; Alternating direction implicit method; Galerkin finite element method; Crank-Nicolson method;
Alternating direction implicit-Euler method for the two-dimensional fractional evolution equation
Keywords: روش ضمنی جهت متناوب; Fractional evolution equation; Alternating direction implicit method; Finite difference; Discrete energy method; Backward Euler method
An ADI extrapolated Crank-Nicolson orthogonal spline collocation method for nonlinear reaction–diffusion systems
Keywords: روش ضمنی جهت متناوب; Nonlinear reaction–diffusion systems; Alternating direction implicit method; Orthogonal spline collocation; Extrapolated Crank-Nicolson method; Brusselator; Gray-Scott; Gierer-Meinhardt; Schnakenberg models
High order compact Alternating Direction Implicit method for the generalized sine-Gordon equation
Keywords: روش ضمنی جهت متناوب; 65M06; 65M12; 65M15; 35Q51; 35Q53; 78M20Sine-Gordon equation; High order compact scheme; Alternating Direction Implicit method; Finite difference; Error estimate
Numerical experiments with algorithms for the ADI and Zolotarev coefficients
Keywords: روش ضمنی جهت متناوب; Zolotarev problem; Alternating direction implicit method; Chebyshev rational approximation; Jacobi elliptic functions; Complete elliptic integral;
A fourth-order compact ADI method for solving two-dimensional unsteady convection–diffusion problems
Keywords: روش ضمنی جهت متناوب; Higher-order compact scheme; Unsteady; Convection–diffusion; Alternating direction implicit method