Keywords: 35L05; 65N06; 65N12; 65M06; 65M12; 3D; Elastic wave equation; LOD; Fourth-order accuracy; Splitting;
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Keywords: Anisotropic diffusion equation; Multi-dimensional finite differences; L-spline interpolation; Steklov-Poincaré (Dirichlet-to-Neumann; DtN) operator; 76R50; 65N06; 46E35;
Keywords: Compressible oil-water seepage displacement; Domain decomposition parallel computation; Characteristic mixed finite element; Optimal error estimate in l2 norm; Numerical example; 65N30; 65Y05; 65N06;
Keywords: L2-1Ï formula; Delay partial differential equations; Nonlinear; Time drift; Circulant preconditioner; CG method; 65M06; 65M12; 65N06;
Keywords: Boundary value problems; Truncated Bratu-Picard model; Multiplicity; Existence; (Non)standard finite differences; Bifurcation diagram; 34BXX; 34B08; 34B15; 74G15; 65NXX; 65N06;
Keywords: Anisotropic diffusion equation; Multi-dimensional finite differences; L-spline interpolation; Steklov-Poincaré (Dirichlet-to-Neumann; DtN) operator; 76R50; 65N06; 46E35;
Keywords: primary; 65N06; secondary; 76M20; 65L10; Finite differences; Non-uniform grids; Boundary layer; Boundary value problems; Supraconvergence;
Keywords: Helmholtz equation; High wave number; Local refinement; Polar and spherical coordinates; Pollution-free scheme; 65N06; 65N15; 65N22;
Keywords: 65N06; 65C20; 35C05; 35K20; Stochastic differential equations; Nonlinear partial differential equations; Paris' equation; Probability distribution of hitting time; Probability-based numerical method; Generalized exponential technique;
Keywords: 35L05; 65N06; 65N12; 65M06; 65M123D; Acoustic wave equation; LOD; Fourth-order accuracy; Stability; Compact
Keywords: 65N06; 76T99; Fracture Modeling; EDFM; Reservoir Simulation;
Keywords: Hyperbolic conservation laws; Non-linear weights; Smoothness indicators; WENO scheme; lSSPRK Runge-Kutta schemes; 65M20; 65N06; 41A10;
Keywords: 65N06; 45K05; 35K55Nonlinear parabolic integro-differential equation; Initial–boundary value problem; Mixed boundary conditions; Finite difference scheme; Convergence
Keywords: Three-dimensional photoconduction detector; Porous flow model; Block-centered differences on nonuniform partition; Super-convergent numerical analysis; Numerical simulationO241.82; 65M06; 65N06; 65N30; 82D37
Keywords: 2D parabolic singularly perturbed problems; Fractional implicit Euler method; Nonuniform special meshes; Uniform convergence; Order reduction65N05; 65N06; 65N10
Keywords: 60G40; 65N06; 65N12American option; Irrational exercise; Nonlinear Black–Scholes equations; Finite difference method; Numerical analysis
Keywords: Well balanced schemes; Friedrichs systems; Conservative formulation; Finite volume schemes65J10; 65N06; 65N99
Keywords: 35J40; 35J61; 65N06; 65N12Fourth-order elliptic equation; Nonlocal boundary condition; Finite difference system; Method of upper and lower solutions; Monotone iterations; Convergence
Keywords: 65N06; 65N08; 65N12; 65N22; 76D07Staggered-grid; MAC; Incompressible Stokes; Finite difference; Finite volume; Unstructured meshes
Keywords: 34A60; 35K55; 35K57; 35K61; 65N06; Nonlinear parabolic equations; Dynamic boundary conditions; Reaction-diffusion; Finite difference scheme; Maximal monotone operators;
Keywords: 35L05; 65N06; 65N08; 65Z05; 3D; Poroelastic wave equations; Finite difference method; Control volume method; Spherical domain; Singularity;
Keywords: Optimal control; Epidemiological models; Delay differential equations34K18; 49K25; 65N06; 65N12; 90C30; 92B99
Keywords: 65N06; 65N22Helmholtz equation; Compact finite difference scheme; Numerical dispersion
Multiquadric RBF-FD method for the convection-dominated diffusion problems base on Shishkin nodes
Keywords: Convection-dominated diffusion; Multiquadric RBF-FD method; Hybrid scheme; Shishkin nodes; Boundary layer; 41A10; 41A30; 65N06;
Numerical solution of 2D Navier-Stokes equation discretized via boundary elements method and finite difference approximation
Keywords: Boundary elements method; Finite difference approximation; Navier-Stokes equation; Ordinary differential equations and system of ODEs; Streamfunction-vorticity formulation; High Reynolds number; Runge-Kutta formula and Newton's method; 65M38; 65N06; 93C
Efficient and accurate numerical simulation of acoustic wave propagation in a 2D heterogeneous media
Keywords: Acoustic wave equation; Compact finite difference method; Padé approximation; Alternative direction implicit; Heterogenous media; 65M06; 65M32; 65N06;
The new mass-conserving S-DDM scheme for two-dimensional parabolic equations with variable coefficients
Keywords: Parabolic equations; Variable coefficients; Mass-conserving; Block-divided domain decomposition; Stability; Error estimate; 65N06; 65N12; 65M06; 65Y05; 76R05;
Unsteady MHD flow and heat transfer of fractional Maxwell viscoelastic nanofluid with Cattaneo heat flux and different particle shapes
Keywords: Maxwell viscoelastic nanofluid; Fractional Cattaneo model; Nanoparticle shape; Magnetic field; 26A33; 65N06;
A direct IIM approach for two-phase Stokes equations with discontinuous viscosity on staggered grids
Keywords: Incompressible Stokes equations; Interface problem; Discontinuous viscosity; Marker and cell scheme; Staggered mesh; Uzawa method; Immersed interface method; Finite difference method; 65N06; 35Q35; 35R05;
The mass-preserving and modified-upwind splitting DDM scheme for time-dependent convection-diffusion equations
Keywords: 65N06; 65N12; 65M06; 65Y05; 76R05; Convection-diffusion equations; Mass-preserving; S-DDM; Modified-upwind; Multi-block; Unconditional stability;
Fundamental solutions of the fractional diffusion and the fractional Fokker–Planck equations
Keywords: α-Stable distribution; Green function; Similarity variable; Feller operator; Scale invariant method; Fractional diffusion equations26A33; 45K05; 60J60; 60G50; 60G51; 65N06; 80-99; 42A38
A new box iterative method for a class of nonlinear interface problems with application in solving Poisson–Boltzmann equation
Keywords: 92-08; 65N30; 65N06; 65N55Interface problems; Poisson–Boltzmann equation; Domain decomposition; Finite element methods; Finite difference methods; Electrostatics
Discontinuous Galerkin finite element differential calculus and applications to numerical solutions of linear and nonlinear partial differential equations
Keywords: 65D25; 65N06; 65N12; 65N30; Weak derivatives; Numerical derivatives; Differential calculus; Discontinuous Galerkin finite elements; Linear and nonlinear PDEs; Numerical solutions;
Steady mixed convection stagnation point flow of MHD Oldroyd-B fluid over a stretching sheet
Keywords: 65N06; 76D05; 76R99Mixed convection; Stagnation point flow; Oldroyd-B fluid; Magnetic field; Finite difference method
The immersed interface method for axis-symmetric problems and application to the Hele–Shaw flow
Keywords: Immersed interface method; Axis-symmetric interface problem; Discontinuous coefficients; Finite difference method; Level set method; Hele–Shaw flow65D17; 65M06; 65N06
Combined compact difference scheme for linear second-order partial differential equations with mixed derivative
Keywords: 65N06; 65F50Combined compact difference scheme; Two dimensional; Partial differential equations; Mixed derivative; High-order finite difference; Fourier error analysis
A nonlinearity lagging for the solution of nonlinear steady state reaction diffusion problems
Keywords: 65H10; 65N06; 65N22Nonlinear problems; Lagging diffusivity; Newton method; Arithmetic Mean method
Continuous-time accelerated block successive overrelaxation methods for time-dependent Stokes equations
Keywords: 65F10; 65L80; 65N06; 65N22; 65N40; CR: G1.3Differential–algebraic equations; Saddle-point problem; Time-dependent Stokes equation; Waveform relaxation method; Convergence analysis
A new high accuracy locally one-dimensional scheme for the wave equation
Keywords: 35L05; 65N06; 65N12; 65M06; 65M12; Wave equation; Finite difference; Locally one dimensional; Stability condition; Dispersion relation;
Coefficient identification in Euler–Bernoulli equation from over-posed data
Keywords: 65N06; 65N21; 35A15Euler–Bernoulli equation; Inverse problem; Coefficient identification; Method of Variational Imbedding
Fast and robust sixth-order multigrid computation for the three-dimensional convection–diffusion equation
Keywords: 65N06; 65N55; 65F10Convection–diffusion equation; Reynolds number; Multigrid method; Richardson extrapolation; Sixth-order compact scheme
An interpolation matched interface and boundary method for elliptic interface problems
Keywords: 65N06; 65N22; 65N50Ghost fluid method; Immersed interface method; Matched interface and boundary; Elliptic interface problems; Finite difference scheme; Discrete maximum principle
Using integral equations and the immersed interface method to solve immersed boundary problems with stiff forces
Keywords: 35R05; 65M12; 65N06
Numerical solution of calcium-mediated dendritic branch model
Keywords: 92C20; 92-08; 65N06; 65N35Synaptic plasticity; Dendrites; Dendritic spines; Neuron models; Finite difference method; Spectral collocation
Sixth order compact scheme combined with multigrid method and extrapolation technique for 2D poisson equation
Keywords: 65N06; 65N55; 65F10Poisson equation; Compact difference scheme; Multigrid method; Richardson extrapolation
A velocity decomposition approach for moving interfaces in viscous fluids
Keywords: 76D05; 65N06; 35R05; 74F10Navier–Stokes flow; Stokes flow; Boundary integral; Stiff equations; Fractional stepping; Immersed interface; Immersed boundary
From the Ehrenfest model to time-fractional stochastic processes
Keywords: 26A33; 45K05; 60J60; 60G50; 60G15; 65N06; 80-99Ehrenfest urn model; Diffusion processes; Central drift; Difference schemes; Time-fractional derivative; Stochastic processes; Reversible processes
Analysis of semi-staggered finite-difference method with application to Bingham flows
Keywords: 65N06; 65N12; 74C10; 76D07Semi-staggered grid; Stabilized discretization; Bingham fluid; Visco-plastic flow; Stokes problem; Iterative methods
A posteriori error analysis of a cell-centered finite volume method for semilinear elliptic problems
Keywords: 65N06; 65N15A posteriori error analysis; Adjoint problem; Cell-centered finite volume method; Convection–diffusion–reaction problem; Mixed finite element method; Quadrature error; Residual error
Continuous and impulsive harvesting strategies in a stage-structured predator-prey model with time delay
Keywords: 92D25; 65N06; 65N12; Time delay; Stage-structure; Harvest; Extinction; Permanence;