Keywords: طرح های اختلاف محدود; Finite difference schemes; Non-uniform grids; High-order approximation; Stability; Convergence;
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Keywords: طرح های اختلاف محدود; Convection-Diffusion problems; Singular perturbation problems; Finite difference schemes; Burgers equation;
Keywords: طرح های اختلاف محدود; Lie symmetry; Modified equations; Finite difference schemes; Symmetry preserving schemes;
Keywords: طرح های اختلاف محدود; Fractional water wave models; Finite difference schemes; Stability; Convergence
Keywords: طرح های اختلاف محدود; Finite difference schemes; Compact formulations; Optimization; Dispersion errors; Wave propagation
Third order difference schemes (without using points outside of the domain) for one sided space tempered fractional partial differential equations
Keywords: طرح های اختلاف محدود; Tempered fractional calculus; Finite difference schemes; Riemann–Liouville normalized tempered fractional derivative
High order WENO and DG methods for time-dependent convection-dominated PDEs: A brief survey of several recent developments
Keywords: طرح های اختلاف محدود; High order schemes; Time-dependent convection-dominated partial differential equations; Finite difference schemes; Finite volume schemes; Discontinuous Galerkin method; Bound-preserving limiters; WENO limiters; Inverse Lax-Wendroff boundary treatments;
Explicit schemes for parabolic and hyperbolic equations
Keywords: طرح های اختلاف محدود; Parabolic equation; Hyperbolic equation; Finite difference schemes; Explicit schemes; Alternating triangle method
Matrix methods for radial Schrödinger eigenproblems defined on a semi-infinite domain
Keywords: طرح های اختلاف محدود; Radial Schrödinger equation; Infinite domain; Eigenvalues; Finite difference schemes;
On the existence of solutions for a class of fourth order differential equations
Keywords: طرح های اختلاف محدود; Extended Fisher–Kolmogorov equation; Swift–Hohenberg equation; Finite difference schemes; Homoclinic solution
Efficient implicit scheme with positivity preserving and smoothing properties
Keywords: طرح های اختلاف محدود; 65M06; 65M12; Black-Scholes equation; Finite difference schemes; Fully implicit scheme; M-matrix; Non-smooth initial conditions; Positivity-preserving;
The von Neumann analysis and modified equation approach for finite difference schemes
Keywords: طرح های اختلاف محدود; Finite difference schemes; von Neumann analysis; Modified equation approach; Amplification factor; Full equivalence
A finite differences MATLAB code for the numerical solution of second order singular perturbation problems
Keywords: طرح های اختلاف محدود; Two-point boundary value problems; Singular perturbation problems; Finite difference schemes; Codes for BVPs
Three methods based on the interpolation scaling functions and the mixed collocation finite difference schemes for the numerical solution of the nonlinear generalized Burgers–Huxley equation
Keywords: طرح های اختلاف محدود; Interpolating scaling functions; Operational matrix of derivative; Operational matrix of integration; Generalized Burgers–Huxley equation; Collocation approach; Finite difference schemes
Stabilized non-dissipative approximations of Euler equations in generalized curvilinear coordinates
Keywords: طرح های اختلاف محدود; Finite difference schemes; Compressible flows; Energy conservation; Split convective operators; Generalized curvilinear coordinates
Boosting the accuracy of finite difference schemes via optimal time step selection and non-iterative defect correction
Keywords: طرح های اختلاف محدود; Optimal time step; Non-iterative defect correction; Finite difference schemes; High-order accurate numerical methods; Time dependent PDEs
Heat and fluid flow characteristics of liquid sodium flowing past a nuclear fuel element with non-uniform energy generation
Keywords: طرح های اختلاف محدود; Nuclear fuel element; Conjugate heat transfer; Finite difference schemes; Conduction–convection parameter; Non-uniform energy generation
Generalized conservative approximations of split convective derivative operators
Keywords: طرح های اختلاف محدود; Finite difference schemes; Compressible flows; Energy conservation; Split convective operators
Analysis of numerical schemes of a mathematical model for sickle cell depolymerization
Keywords: طرح های اختلاف محدود; Sickle cell melting; NSFD methods; Finite difference schemes;
Trefftz difference schemes on irregular stencils
Keywords: طرح های اختلاف محدود; Flexible local approximation; Finite difference schemes; Trefftz functions; Electrostatics; Wave propagation; Wave scattering; Electromagnetic waves; Multiparticle problems; Long-range interactions; Irregular stencils; Meshless methods; Least squares appr
Explicit and implicit finite difference schemes for fractional Cattaneo equation
Keywords: طرح های اختلاف محدود; Fractional Cattaneo equation; Finite difference schemes; Stability; Convergence rate
Numerical study of a nuclear fuel element dissipating fission heat into its surrounding fluid medium
Keywords: طرح های اختلاف محدود; Conjugate heat transfer; Nuclear fuel element; Finite difference schemes; Conduction–convection parameter; Volumetric energy generation
Numerical simulations of traffic data via fluid dynamic approach
Keywords: طرح های اختلاف محدود; Scalar conservation laws; Traffic flow; Fluid dynamic models; Finite difference schemes; Boundary conditions
Stability of difference schemes for two-dimensional parabolic equations with non-local boundary conditions
Keywords: طرح های اختلاف محدود; Non-local boundary conditions; Parabolic equations; Finite difference schemes; Stepwise stability
Conjugate conduction-forced convection heat transfer analysis of a rectangular nuclear fuel element with non-uniform volumetric energy generation
Keywords: طرح های اختلاف محدود; Conjugate heat transfer; Nuclear fuel element; Finite difference schemes; Conduction-convection parameter; Total energy generation parameter;
On the numerical solution of nonlinear Black–Scholes equations
Keywords: طرح های اختلاف محدود; Nonlinear Black–Scholes equation; American and European options; Transaction costs; Finite difference schemes
A discrete Adomian decomposition method for discrete nonlinear Schrödinger equations
Keywords: طرح های اختلاف محدود; 02.70.Bf; 31.15.FxAdomian decomposition method; Discrete nonlinear Schrödinger equations; Finite difference schemes; Solitons; Plane waves; Mathematica
Numerical algorithms for simulations of a traffic model on road networks
Keywords: طرح های اختلاف محدود; 65M06; 90B20; 90B10; 35L65; 34B45Scalar conservation laws; Traffic flow; Fluid-dynamic models; Finite difference schemes; Boundary conditions
A simple form for the fourth order difference method for 3-D elliptic equations
Keywords: طرح های اختلاف محدود; Fourth order technique; Elliptic partial differential equations; Finite difference schemes;
A parameter uniform numerical method for a system of singularly perturbed ordinary differential equations
Keywords: طرح های اختلاف محدود; System of differential equations; Initial value problems; Singular perturbation problems; Initial-boundary layers; Finite difference schemes; Fitted mesh;
Comparison of preconditioning techniques for solving linear systems arising from the fourth order approximation of the three-dimensional elliptic equation
Keywords: طرح های اختلاف محدود; Fourth order techniques; Elliptic partial differential equations; Finite difference schemes; Block alternating group explicit method; ADI method; Krylov subspace methods
A high resolution total variation diminishing scheme for hyperbolic conservation law and related problems
Keywords: طرح های اختلاف محدود; Conservation law; Convection; Finite difference schemes; High resolution schemes; Total variation diminishing schemes
Multigrid solution of high order discretisation for three-dimensional biharmonic equation with Dirichlet boundary conditions of second kind
Keywords: طرح های اختلاف محدود; Multigrid method; Finite difference schemes; Three-dimensional biharmonic equation; High accuracy; Compact approximations
A nonstandard finite difference scheme for a PDE modeling combustion with nonlinear advection and diffusion
Keywords: طرح های اختلاف محدود; 65L05; 65M06; 65N06; Finite difference schemes; Nonlinear waves; Advection; Diffusion;
High-order finite difference schemes for the solution of second-order BVPs
Keywords: طرح های اختلاف محدود; 65L10; 65L12; 65L20; Finite difference schemes; Boundary value methods; Two-point boundary value problems; Conditioning analysis;
On the blow-up of finite difference solutions to the heat-diffusion equation with semilinear dynamical boundary conditions
Keywords: طرح های اختلاف محدود; Heat-diffusion equation; Dynamical boundary conditions; Blow-up; Blow-up rate; Finite difference schemes; Convergence; Blow-up set;