Keywords: طرح اختلاف محدود; Heat equation; Nonlocal initial condition; Finite difference scheme; Stability; Convergence; 65M06; 65M12; 35K20;
مقالات ISI طرح اختلاف محدود (ترجمه نشده)
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Keywords: طرح اختلاف محدود; Finite difference scheme; Courant-Friedrich-Lewy stability condition; Von-Neumann stability criteria; Riemannian acoustic wave equation;
Keywords: طرح اختلاف محدود; Delay differential equation; Singular perturbation; Finite difference scheme; Piecewise-uniform mesh; Error estimates;
Keywords: طرح اختلاف محدود; Maxwell equations; System of nonlinear integro-differential equations; Unique solvability; Asymptotic behavior; Finite difference scheme; FreeFem++ implementation;
Keywords: طرح اختلاف محدود; Fractional cable equation; Spectral meshless radial point interpolation (SMRPI) method; Radial basis function; Finite difference scheme;
Keywords: طرح اختلاف محدود; Singularly perturbed 2D parabolic convection-diffusion problems; Fractional-step method; Finite difference scheme; Piecewise-uniform Shishkin meshes; Richardson extrapolation technique; Uniform convergence;
Keywords: طرح اختلاف محدود; Time fractional reaction-subdiffusion equation; Spectral meshless radial point interpolation (SMRPI) method; Radial basis function; Finite difference scheme;
Keywords: طرح اختلاف محدود; Singularly perturbed system of parabolic convection-diffusion problems; Boundary layers; Shishkin meshes; Finite difference scheme; Richardson extrapolation technique; Error estimate; 65M06; 65L10; 65M12;
Keywords: طرح اختلاف محدود; Variable-order time fractional advection-diffusion equation (V-OTFA-DE); Caputo's variable-order fractional derivative; Moving least squares (MLS) method; Finite difference scheme; Positive scheme;
Keywords: طرح اختلاف محدود; Singularly perturbed 2D degenerate parabolic convection-diffusion problem; Alternating direction scheme; Finite difference scheme; Piecewise-uniform Shishkin meshes; Uniform convergence;
Keywords: طرح اختلاف محدود; Fractional evolution equation; Fractional partial integro-differential equation; Spectral element method; Finite difference scheme; Stability analysis; Convergence analysis; Energy method;
Keywords: طرح اختلاف محدود; Fractional evolution equation; Spectral meshless radial point interpolation (SMRPI) method; Radial basis function; Finite difference scheme;
Keywords: طرح اختلاف محدود; 65N06; 45K05; 35K55Nonlinear parabolic integro-differential equation; Initial–boundary value problem; Mixed boundary conditions; Finite difference scheme; Convergence
Keywords: طرح اختلاف محدود; Photovoltaic module; Phase change materials; Buildings; Efficiency enhancement; Finite difference scheme
Keywords: طرح اختلاف محدود; American call option pricing; Finite difference scheme; Front-fixing transformation; Numerical analysis; Positivity
Keywords: طرح اختلاف محدود; Micropolar fluid flow; Finite difference scheme; Faedo–Galerkin method; Free-boundary problem
Keywords: طرح اختلاف محدود; Fractional modified anomalous sub-diffusion; Finite difference scheme; Spectral element method; Legendre polynomial; Unconditional stability; Error estimate and convergence
Keywords: طرح اختلاف محدود; Fractional partial differential equation; Caputo-type derivative; Finite difference scheme; Laplace transform;
Keywords: طرح اختلاف محدود; Ultraparabolic equation; Finite difference scheme; Fourier series; Linear approximation; Stability
Keywords: طرح اختلاف محدود; Absorber plate fin; Variable thermal conductivity; Cubic temperature profile; Finite difference scheme; Thermal performance
Keywords: طرح اختلاف محدود; Reaction–diffusion system; Gray Scot model; Predator prey model; Finite difference scheme; Multigrid solver
Keywords: طرح اختلاف محدود; Riemann-Liouville fractional derivative; Fractional advection diffusion equation; Finite difference scheme; Stability;
Keywords: طرح اختلاف محدود; Cubed-Sphere grid; Spherical divergence; Spherical laplacian; Finite difference scheme; Hermitian compact operator; Spherical harmonics
Keywords: طرح اختلاف محدود; Nonlinear parabolic equation; Chipot–Weissler equation; Finite time blow up; Finite difference scheme; Numerical solution; Nonlinear gradient term65M06; 65M22
Keywords: طرح اختلاف محدود; Singularly perturbed delay parabolic convection–diffusion problems; Boundary layers; Finite difference scheme; Piecewise-uniform Shishkin meshes; Uniform convergence65M06; 65M12; CR G1.8
Keywords: طرح اختلاف محدود; Time-fractional sub-diffusion equations; Grünwald-Letnikov formula; Finite difference scheme; Stability; Convergence;
Keywords: طرح اختلاف محدود; Time-fractional fourth-order reaction-diffusion problem; Finite element method; Finite difference scheme; Caputo-fractional derivative; Unconditional stability; Optimal a priori error analysis;
Keywords: طرح اختلاف محدود; 34A60; 35K55; 35K57; 35K61; 65N06; Nonlinear parabolic equations; Dynamic boundary conditions; Reaction-diffusion; Finite difference scheme; Maximal monotone operators;
Keywords: طرح اختلاف محدود; Bio-heat equation; Triple layer skin; Phase lag of heat flux; Phase lag of temperature gradient; Cryosurgery; Enthalpy; Finite difference scheme
Keywords: طرح اختلاف محدود; Room acoustic simulation; Finite difference scheme;
Keywords: طرح اختلاف محدود; Burgers equation; Conservation law; Finite difference scheme; A posteriori error estimate; Dual problem;
Keywords: طرح اختلاف محدود; Time-fractional fourth-order PDE; Mixed finite element method; Caputo-fractional derivative; Finite difference scheme; Stability; A priori error estimates
Keywords: طرح اختلاف محدود; Reaction and anomalous-diffusion equation; Finite difference scheme; Riemann–Liouville derivative; Fourier method; Numerical stability
Keywords: طرح اختلاف محدود; Nonlinear stochastic partial differential systems; Partial differential equations; Finite difference scheme; Semi-discretization; Robust stabilization; Stochastic H∞H∞ stabilization; Fuzzy approach; Spatio-temporal random noises
Keywords: طرح اختلاف محدود; Dual-phase-lagging model; Temperature jump boundary condition; Nano-scale; Finite difference scheme;
Keywords: طرح اختلاف محدود; Parabolic differential equations; Delay; Singularly perturbed problem; Finite difference scheme; Shishkin mesh65N06; 65N12; 65N15
Local RBF-FD technique for solving the two-dimensional modified anomalous sub-diffusion equation
Keywords: طرح اختلاف محدود; Riemann-Liouville fractional derivative; RBF-FD method; Finite difference scheme; Stability analysis; Convergence analysis; Energy method; 65M70; 35R11;
A stable explicitly solvable numerical method for the Riesz fractional advection-dispersion equations
Keywords: طرح اختلاف محدود; Riesz fractional advection-dispersion equations; Finite difference scheme; Asymmetric technique; Unconditional stable; Error estimates;
A compact ADI method and its extrapolation for time fractional sub-diffusion equations with nonhomogeneous Neumann boundary conditions
Keywords: طرح اختلاف محدود; Fractional sub-diffusion equation; Neumann boundary condition; Compact ADI method; Finite difference scheme; Error estimate; Richardson extrapolation;
Fast computational approach to the Delta Greek of non-linear Black-Scholes equations
Keywords: طرح اختلاف محدود; Delta Greek; Finite difference scheme; Monotonicity; Convergence; Two-grid method; Richardson extrapolation;
Stability analysis of Artificial Bee Colony optimization algorithm
Keywords: طرح اختلاف محدود; Artificial Bee Colony (ABC) algorithm; Stability analysis; Finite difference scheme; Parameter selection; Stable range;
A novel strategy for deriving high-order stable boundary closures based on global conservation, I: Basic formulas
Keywords: طرح اختلاف محدود; Finite difference scheme; Boundary closures; High-order; Global conservation; Semi-uniform grid;
Stochastic solution for Cauchy one-dimensional advection model in mean square calculus
Keywords: طرح اختلاف محدود; Mean square convergence; Finite difference scheme; Random Cauchy problem; Random von-Neumann stability;
A dispersion minimizing finite difference scheme for the Helmholtz equation based on point-weighting
Keywords: طرح اختلاف محدود; Helmholtz equation; Perfectly matched layer; Finite difference scheme; Numerical dispersion;
Some recent progress of high-order methods on structured and unstructured grids in CARDC
Keywords: طرح اختلاف محدود; High-order method; Finite difference scheme; Finite volume scheme; Discontinuous Galerkin; Structured grids; Unstructured grids;
A stable numerical method for multidimensional time fractional Schrödinger equations
Keywords: طرح اختلاف محدود; Time fractional Schrödinger equation; Finite difference scheme; Stability; Two-dimensional Schrödinger equation;
IMEX schemes for a parabolic-ODE system of European options with liquidity shocks
Keywords: طرح اختلاف محدود; Parabolic-ordinary system; European options; Finite difference scheme; Comparison principle; Positivity;
A compact LOD method and its extrapolation for two-dimensional modified anomalous fractional sub-diffusion equations
Keywords: طرح اختلاف محدود; Modified anomalous fractional sub-diffusion equation; Compact LOD method; Finite difference scheme; Error estimate; Richardson extrapolation
Some high order difference schemes for the space and time fractional Bloch–Torrey equations
Keywords: طرح اختلاف محدود; Bloch–Torrey equation; Fractional differential equation; Riesz derivative; Finite difference scheme; Convergence; Stability65M06; 65M12; 65M15
Calibration of a γ-Reθγ-Reθ transition model and its validation in low-speed flows with high-order numerical method
Keywords: طرح اختلاف محدود; Aerodynamic characteristics; Finite difference scheme; High-order method; Laminar to turbulent transition; RANS