Keywords: ثبات و همگرایی; Multilayer diffusion; Finite volume scheme; Stability and convergence; Gershgorin circle theorem; Interface conditions;
مقالات ISI ثبات و همگرایی (ترجمه نشده)
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Keywords: ثبات و همگرایی; Fractional reaction-diffusion equation; Variable-order; Compact finite difference; Stability and convergence;
Keywords: ثبات و همگرایی; Time fractional nonlinear Sine-Gordon equation; Legendre spectral method; Stability and convergence; Caputo derivative; Smooth and non-smooth solutions; 26A33; 65M70; 65M12;
Keywords: ثبات و همگرایی; Distributed-order derivative; Boundary value method; Finite difference method; Quadrature rule; Stability and convergence; High accuracy;
Keywords: ثبات و همگرایی; Fractional diffusion equations; Cauchy problem; Weighted and shifted difference operators; Higher-order scheme; Stability and convergence;
Keywords: ثبات و همگرایی; Macroscopic fundamental diagram; Boundary condition; Feasible and admissible demand; Stability and convergence; Controllability;
Keywords: ثبات و همگرایی; Time fractional partial differential equations; Initial-boundary value problems; Spline approximation; Finite difference method; Stability and convergence;
Keywords: ثبات و همگرایی; Fractional subdiffusion equation; Variable order; Compact finite difference scheme; Stability and convergence; 65M06; 65M12;
Keywords: ثبات و همگرایی; Natural convection problem; Two-step algorithm; Equal-order element; Local Gauss integration; Stability and convergence;
Keywords: ثبات و همگرایی; 80A17; 74F05; 65L20Shape-memory materials; GENERIC formalism; Generalized gradient flow; Time-discretization; Stability and convergence
Keywords: ثبات و همگرایی; Fractional order diffusion equation; Fractional derivative; A priori estimate; Difference scheme; Stability and convergence
Keywords: ثبات و همگرایی; Anomalous diffusion; Variable coefficients; Stability and convergence; Bi-conjugate gradient stabilized method; Fast Fourier transform; Circulant matrix; Toeplitz matrix;
Keywords: ثبات و همگرایی; Finite volume method; Variable coefficients; Riesz fractional derivative; Fractional diffusion equation; Nodal basis functions; Stability and convergence;
Keywords: ثبات و همگرایی; Nonlinear Maxwell model; Linearized difference scheme; Long-time asymptotic behavior; Discrete energy method; Stability and convergence
Keywords: ثبات و همگرایی; 26A33; 65L60; 33C45; 44A45; 46C99Nonlinear fractional integro-differential equation; Collocation method; Caputo derivative; Jacobi polynomial; Operational matrix; Stability and convergence
Keywords: ثبات و همگرایی; Tempered fractional derivative; Fractional Black–Scholes model; European double barrier option; Numerical simulation; Stability and convergence; Fast bi-conjugate gradient stabilized method
Keywords: ثبات و همگرایی; BBM water wave equation; Nonlocal viscous term; Finite difference/spectral method; Stability and convergence
L1 Fourier spectral methods for a class of generalized two-dimensional time fractional nonlinear anomalous diffusion equations
Keywords: ثبات و همگرایی; Two-dimensional time-fractional nonlinear equations; Caputo derivative; L1 Fourier spectral methods; Stability and convergence; FFT2;
Analysis of the damped nonlinear space-fractional Schrödinger equation
Keywords: ثبات و همگرایی; Damped nonlinear space-fractional Schrödinger equation; Global smooth solution; Conformal mass-preserving linearized scheme; Stability and convergence;
A time-space spectral method for the time-space fractional Fokker-Planck equation and its inverse problem
Keywords: ثبات و همگرایی; Time-space spectral method; Time-space fractional Fokker-Planck equation; Stability and convergence; L-M method;
Research paperA 2D multi-term time and space fractional Bloch-Torrey model based on bilinear rectangular finite elements
Keywords: ثبات و همگرایی; Time and space fractional Bloch-Torrey equation; Finite element method; Multi-term; Bilinear rectangular elements; Stability and convergence;
Exponential Adams-Bashforth integrators for stiff ODEs, application to cardiac electrophysiology
Keywords: ثبات و همگرایی; Stiff equations; Explicit high-order multistep methods; Exponential integrators of Adams type; Stability and convergence; Dahlquist stability;
RBF-FD method for the high dimensional time fractional convection-diffusion equation
Keywords: ثبات و همگرایی; 35R11; 65M06; 65M12; Time fractional convection-diffusion equation; RBF-FD method; Wendland RBF; Shifted Grünwald formula; Stability and convergence;
A novel finite volume method for the Riesz space distributed-order diffusion equation
Keywords: ثبات و همگرایی; Distributed-order equation; Finite volume method; Riesz fractional derivative; Crank-Nicolson scheme; Stability and convergence;
An efficient Galerkin spectral method for two-dimensional fractional nonlinear reaction-diffusion-wave equation
Keywords: ثبات و همگرایی; Nonlinear fractional differential equation; Alternating direction implicit method; Legendre-Galerkin spectral method; Stability and convergence;
W-methods to stabilize standard explicit Runge-Kutta methods in the time integration of advection-diffusion-reaction PDEs
Keywords: ثبات و همگرایی; 65M12; 65M15; 65M20; Evolutionary advection-diffusion-reaction partial differential equations; W-methods; ROW-methods; Approximate matrix factorization; Finite differences; Stability and convergence;
A novel finite volume method for the Riesz space distributed-order advection-diffusion equation
Keywords: ثبات و همگرایی; Distributed-order equation; Finite volume method; Riesz fractional derivatives; Fractional advection-diffusion equation; Stability and convergence;
Two-level methods for the Cahn–Hilliard equation
Keywords: ثبات و همگرایی; Finite element method; Two-level method; Cahn–Hilliard equation; Stability and convergence
Splitting-methods based on Approximate Matrix Factorization and Radau-IIA formulas for the time integration of advection diffusion reaction PDEs
Keywords: ثبات و همگرایی; Evolutionary advection–diffusion-reaction partial differential equations; Method of lines; Approximate Matrix Factorization; Runge–Kutta Radau IIA methods; Finite differences; Stability and convergence
A family of three-stage third order AMF-W-methods for the time integration of advection diffusion reaction PDEs.
Keywords: ثبات و همگرایی; Evolutionary advection-diffusion-reaction partial differential equations; W-methods; Approximate matrix factorization; Finite differences; Stability and convergence; 65M12; 65M15; 65M20;
Stability analysis and error estimate of flowfield-dependent variation (FDV) method for first order linear hyperbolic equations
Keywords: ثبات و همگرایی; Stability and convergence; Finite difference method; Flowfield-dependent variation method; First order hyperbolic equation
AMF-Runge-Kutta formulas and error estimates for the time integration of advection diffusion reaction PDEs
Keywords: ثبات و همگرایی; 65M12; 65M15; 65M20; Evolutionary advection-diffusion-reaction partial differential equations; Approximate Matrix Factorization; Runge-Kutta Radau IIA methods; Finite differences; Stability and convergence;
A novel numerical method for the time variable fractional order mobile–immobile advection–dispersion model
Keywords: ثبات و همگرایی; Coimbra variable fractional order derivative; Mobile–immobile advection–dispersion equation; Implicit finite difference method; Stability and convergence
Boundary value problems for the diffusion equation of the variable order in differential and difference settings
Keywords: ثبات و همگرایی; Fractional derivative; A priori estimate; Difference scheme; Stability and convergence
Comparison between some explicit and implicit difference schemes for Hamilton Jacobi functional differential equations
Keywords: ثبات و همگرایی; Functional differential equations; Stability and convergence; Comparison methods; Differential and difference inequalities;
Numerical method and analytical technique of the modified anomalous subdiffusion equation with a nonlinear source term
Keywords: ثبات و همگرایی; 26A33; 34K28; 65M12; 60J70Implicit difference method; Modified anomalous subdiffusion equation; Nonlinear source terms; Energy method; Stability and convergence
Numerical approximation of Lévy–Feller diffusion equation and its probability interpretation
Keywords: ثبات و همگرایی; 26A33; 34K28; 65M12; 60J70Numerical approximation; Lévy–Feller diffusion; Riesz–Feller potential; Stable probability distributions; Markovian random walk; Stability and convergence
An efficient and robust implicit operator for upwind point Gauss–Seidel method
Keywords: ثبات و همگرایی; Implicit operator; Artificial dissipation model; Upwind point Gauss–Seidel; Euler equations; Stability and convergence
The finite element numerical analysis for a class nonlinear evolution equations
Keywords: ثبات و همگرایی; Galerkin approximation; Truncation error; Stability and convergence; Optimal order L2 estimates;