Keywords: Jacobi polynomials; Spectral tau method; Pantograph differential equations; System of differential equations; 34A08; 65M70; 33C45;
مقالات ISI (ترجمه نشده)
مقالات زیر هنوز به فارسی ترجمه نشده اند.
در صورتی که به ترجمه آماده هر یک از مقالات زیر نیاز داشته باشید، می توانید سفارش دهید تا مترجمان با تجربه این مجموعه در اسرع وقت آن را برای شما ترجمه نمایند.
در صورتی که به ترجمه آماده هر یک از مقالات زیر نیاز داشته باشید، می توانید سفارش دهید تا مترجمان با تجربه این مجموعه در اسرع وقت آن را برای شما ترجمه نمایند.
Keywords: Time fractional nonlinear Sine-Gordon equation; Legendre spectral method; Stability and convergence; Caputo derivative; Smooth and non-smooth solutions; 26A33; 65M70; 65M12;
Keywords: Triangule rectangle mapping; Spectral method; General domain; Structured meshes; 65N35; 65E05; 65M70; 41A05; 41A10; 41A25;
Keywords: Self-adjoint singularly-perturbation problems; Two-point boundary value problems; Trigonometric quintic B-spline collocation method; 41A15; 65M70; 65M12; 65L11;
Keywords: primary; 65M12; 65M06; 65M70; 35R11; Fractional diffusion equation; Fractional diffusion-wave equation; Spectral method; Stability; Convergence;
Keywords: 65N35; 65M70; 41A05; 41A10; 41A25; Hermite and Laguerre differentiation matrices; New collocation schemes; Unbounded domains;
Keywords: 35R35; 65M12; 65M70; Fractional Fokker-Planck equation; Jacobi collocation method; Convergence;
Keywords: Riemann-Liouville integrals; Caputo derivatives; Lagrange multipliers method; Chebyshev polynomials; Operational matrix; Fractional variational problems; 34A08; 65M70; 33C45;
Keywords: 65M70; 91G60; Option pricing; Fokker-Planck equation; Radial basis function; Dirac delta function; Kolmogorov forward equation;
Keywords: 65M70; Generalized polynomial chaos; Hyperbolic cross approximation; Differential equations with random inputs; Spectral method;
Keywords: Chebyshev wavelet finite difference method; System of ordinary differential equations; Boundary value problems; 65M70; 65N35; 35C10; 42C106;
Keywords: Collocation method; Jacobi polynomials; Nonlinear Volterra integral equation; Weakly singular; Convergence analysis; 65R20; 65M70;
Keywords: 65N38; 45B05; 65Z99; 65M70; 65R20Boundary integral equations; k-times monotone radial functions; Boundary elements method; Singular boundary integrals; Integral equations
Keywords: 34A08; 34A07; 65M70; Caputo-Fabrizio fractional derivative; Interval-valued function; Interval arithmetic; Real-world systems;
Keywords: 35Q35; 65M70; Incompressible Euler equations; Weak solutions; Helical symmetry; Biot-Savart law;
Keywords: 65M70; 65M20Pseudo-spectral methods; Integrating factors; Exponential time differencing methods; Differentiation matrices; Sylvester-type equations
Keywords: 65M70; 34A34Barycentric rational interpolation; Meshless collocation method; Two-dimensional hyperbolic telegraph equation; Central differential scheme
Keywords: Multi-term time-fractional diffusion equation; Space-time spectral method; Riemann–Liouville derivative; Caputo fractional derivative26A33; 65M06; 65M70
Keywords: 65M70; 74F10; Immersed boundary method; Spectral element; Newtonian; Fluid-structure interaction;
Keywords: 65M70; 65J10; 65L99; 65M12Spectral method; Operator equation; Hilbert space
Keywords: American options; Spectral element methods; Variational inequalities; Linear complementarity problems; 65M70; 58E35; 91G60;
Keywords: Hermite–Galerkin spectral method; Time-dependent parameters; Nonlinear convection–diffusion equations65N35; 65N22; 65M70
Keywords: 65M70; 34A34Time fractional reaction–subdiffusion equation; Convergence analysis; Error estimate; Riemann–Liouville fractional derivative; Meshless Galerkin method; Radial basis functions (RBFs)
Keywords: 65M12; 65M15; 65M70; Orthogonal spline collocation; Subdiffusion equation; Stability; Convergence;
Keywords: 41A30; 65L60; 65M70; 34B40; 35L70; Generalized Hermite orthogonal approximation and interpolation; Spectral method on the whole line;
Keywords: 65M12; 65M70; 65N12; 65N35; 65M15; 65M22; 65J10; 65J20; 35D30; 35D35; 35B65; 41A25; 41A63Stability; Partial differential equations; Tau methods; Pseudospectral methods; Collocation; Discretization
A Gaussian radial basis function-finite difference technique to simulate the HCIR equation
Keywords: 65M70; 91B26; Meshless method; Gaussian RBF; RBF-FD; Heston-Cox-Ingresoll-Ross model; HCIR PDE;
Numerical methods for accurate description of ultrashort pulses in optical fibers
Keywords: Ultrashort optical pulses; Nonlinear fibers; Forward Maxwell equation; Generalized nonlinear Schrödinger equation; Splitting method; Spectral method; 78A40; 78A60; 65M70; 65Y05; 35G31;
Local RBF-FD technique for solving the two-dimensional modified anomalous sub-diffusion equation
Keywords: Riemann-Liouville fractional derivative; RBF-FD method; Finite difference scheme; Stability analysis; Convergence analysis; Energy method; 65M70; 35R11;
Improved weighted ENO scheme based on parameters involved in nonlinear weights
Keywords: Finite difference; Approximation order; Conservation laws; WENO scheme; Non-linear weights; Euler equations; 65M12; 65M70; 41A10;
RBF-FD schemes for option valuation under models with price-dependent and stochastic volatility
Keywords: Localized radial basis functions; Multiquadrics; Stochastic volatility; Constant elasticity of variance; American options; 91G20; 65M70; 62P05;
Applications of Quintic Hermite collocation with time discretization to singularly perturbed problems
Keywords: Singular perturbation; Quintic Hermite collocation; Forward difference; Parameter uniform convergence; Collocation points; 35K10; 35K57; 65M70; 65M12;
A comparative study of limiting strategies in discontinuous Galerkin schemes for the M1 model of radiation transport
Keywords: 35L40; 65M08; 65M60; 65M70; Discontinuous Galerkin; Moment models; Minimum entropy; Realizability limiter;
Inverse multi-quadric RBF for computing the weights of FD method: Application to American options
Keywords: Radial basis function; RBF-FD method; FD weights; American option; Inverse multi-quadric; 65M70; 91B25; 65M06;
Error analysis of a spectrally accurate Volterra-transformation method for solving 1-D Fredholm integro-differential equations
Keywords: Integro-ordinary differential equations; Error bounds; Spectral Collocation and related methods; 45J05; 65L70; 65M70;
Comparison of Chebyshev and Legendre polynomials methods for solving two dimensional Volterra - Fredholm integral equations
Keywords: Chebyshev polynomials; Legendre polynomials; Two dimensional integral equations; Collocation points; 65R20; 41A50; 41A55; 65M70;
Steklov approximations of harmonic boundary value problems on planar regions
Keywords: primary; 65M70; secondary; 65N25; 31B05; Harmonic functions; Steklov eigenfunctions; Boundary value problems; Harmonic approximation;
Spectrally accurate Nyström-solver error bounds for 1-D Fredholm integral equations of the second kind
Keywords: Fredholm integral equations; Error bounds; Spectral collocation methods; 45B05; 65L70; 65M70;
A fourth-order AVF method for the numerical integration of sine-Gordon equation
Keywords: Energy-preserving; Average vector field method; Pseudo-spectral method; Sine-Gordon equation; Soliton; 37K05; 65M20; 65M70;
Analysis of a Chebyshev-type pseudo-spectral scheme for the nonlinear Schrödinger equation
Keywords: Algebraically mapped Chebyshev polynomials; Pseudo-spectral methods; Error estimates; Schrödinger equation; 65M12; 65M70;
Error analysis of method of lines (MOL) via generalized interpolating moving least squares (GIMLS) approximation
Keywords: 65M20; 65M70; Method of lines (MOL); Generalized interpolating moving least squares (GIMLS) approximation; Second-order differential operator; Dirichlet boundary conditions; Linear and nonlinear equations; Error analysis;
Analysis of a Galerkin approach applied to a system of coupled Schrödinger equations
Keywords: 35Q60; 65M12; 65T50; 65M70; Galerkin method; The coupled nonlinear Schrödinger equations; Fourier basis; Optical fiber;
Letter to the EditorThe mystery of the shape parameter III
Keywords: 41A05; 65D05; 65M15; 65M70; 65N15; 65N50; Radial basis function; Multiquadric; Shape parameter; Interpolation;
Squeeze flow of a piezoviscous fluid
Keywords: Squeeze flow; Piezoviscous fluid; Navier slip boundary condition; No-slip boundary condition; Surface tension; Spectral collocation; 76A05; 65M70;
Numerical solution of a non-classical two-phase Stefan problem via radial basis function (RBF) collocation methods
Keywords: Two-phase Stefan problem; Boundary immobilization method; Collocation methods; Chebyshev spectral collocation method; Legendre spectral collocation method; The method of radial basis functions (RBFs); Kansa method; RBF-PS method; RBF-QR method; 80A22;
The numerical simulation of the phase field crystal (PFC) and modified phase field crystal (MPFC) models via global and local meshless methods
Keywords: 65M70; 74E15; The phase field models; The phase field crystal equation; Modified phase field crystal equation; Radial basis functions (RBFs) and RBFs-Pseudo-spectral (PS); Moving least squares (MLS) and generalized moving least squares (GMLS) approximatio
The use of interpolating element-free Galerkin technique for solving 2D generalized Benjamin–Bona–Mahony–Burgers and regularized long-wave equations on non-rectangular domains with error estimate
Keywords: 65M70; 34A34Nonlinear generalized Benjamin–Bona–Mahony–Burgers (GBBMB) equation; Regularized long-wave (RLW) equation; Energy method and unconditional stability; Interpolating element-free Galerkin; Meshless method; Convergence and error analysis
Solution of time-dependent PDE through rapid estimation of block Gaussian quadrature nodes
Keywords: 65M70; 65F60; Lanczos algorithm; Spectral methods; Gaussian quadrature; Heat equation; Wave equation;
Breaking the curse of dimensionality in sparse polynomial approximation of parametric PDEs
Keywords: 41A46; 41A25; 65M70; 65N35Parametric PDEs; Curse of dimensionality; Sparse Legendre series; Sparse high dimensional interpolation
Efficient and high accuracy pricing of barrier options under the CEV diffusion
Keywords: 65M70; 62P05; 91G20Barrier options; Discretely monitored barriers; Constant elasticity of variance model; High-order compact scheme; Fourth-order convergence