Keywords: روش همبستگی; Functional integro-differential equations; Chelyshkov polynomials and series; Collocation method; Residual error technique
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Keywords: روش همبستگی; Fractional optimal control problems; Truncated Bessel series; Collocation method;
Keywords: روش همبستگی; Functional differential equation; Pantograph equation; Initial value problem; Boundary value problem; Neutral type; Collocation method
Keywords: روش همبستگی; Unbounded rough surface; Helmholtz equation; Integral equation method; Tapered wave incidence; Collocation method; Convergence analysis
Keywords: روش همبستگی; 2N order compact finite difference scheme; Collocation method; Generalized Burger’s–Huxley equation; Generalized Burger’s–Fisher equation; Two-dimensional unsteady Burger’s equation
Keywords: روش همبستگی; Isogeometric analysis; Boundary integral method; Collocation method; Drop deformation; Inextensible membrane
Keywords: روش همبستگی; Boris integrator; Time integration; Magnetic field; High-order; Spectral deferred corrections (SDC); Collocation method;
Keywords: روش همبستگی; Uncertainty quantification; Stochastic partial differential equations; Elastic wave equation; Collocation method; Error analysis
Keywords: روش همبستگی; Nonlocal boundary conditions; Nonclassic boundary value problems; Integral conservation condition; Neumann boundary condition; Collocation method; Legendre–Gauss–Lobatto quadrature
Keywords: روش همبستگی; Isogeometric analysis; Collocation method; Large deformation elasticity; Frictional contact;
Keywords: روش همبستگی; Quintic B-spline; Collocation method; Stability analysis; Soliton; Finite difference; Boussinesq equation35-XX; 65-XX; 34B15; 34B05
Keywords: روش همبستگی; Two-dimensional hybrid of block-pulse functions and Taylor series; Two-dimensional nonlinear integral equations; Operational matrix; Collocation method
Keywords: روش همبستگی; Two-dimensional Fredholm-Volterra integral equations; The Fibonacci polynomials; Collocation method;
Keywords: روش همبستگی; Bernstein polynomials; Fractional-order differential equations; Collocation method; Operational matrix; Caputo derivative
Keywords: روش همبستگی; Optimal control; Distributed parameter systems; Radial basis functions; Collocation method; Gaussian RBF; Lagrange multipliers
Keywords: روش همبستگی; Drag coefficient; Spherical particles; Differential transformation method (DTM)-Padé; Galerkin method; Collocation method; Sedimentation
Keywords: روش همبستگی; 45D05; 45F05; 65D30System of Volterra integral equations; Collocation method; Euler polynomials and series; Euler polynomial solutions
Keywords: روش همبستگی; Functional differential equations; Pantograph equation; Collocation method; Jacobi rational–Gauss quadrature; Jacobi rational function
Keywords: روش همبستگی; Collocation method; Dense matrix; Discontinuous problems; Fast method; Nonlocal diffusion
Keywords: روش همبستگی; 26A33; 65L60; 33C45; 44A45; 46C99Nonlinear fractional integro-differential equation; Collocation method; Caputo derivative; Jacobi polynomial; Operational matrix; Stability and convergence
Keywords: روش همبستگی; Integro functional equations; Taylor polynomials; Approximate solutions; Collocation method
Keywords: روش همبستگی; Iterative method; Spectral method; Fractional differential equation; Volterra integral equation; Collocation method
Keywords: روش همبستگی; Variable-order fractional nonlinear Schrödinger equation; Operational matrix; Collocation method; Variable-order fractional Riesz derivative
Keywords: روش همبستگی; Interval input parameters; Heat convection-diffusion problem; Polynomial approximation; Collocation method; Sparse grids
Keywords: روش همبستگی; Ultraspherical polynomials; Wavelets; Bernstein-type inequality; Collocation method; Even-order differential equations; Burger’s equation65M70; 65N35; 35C10; 42C10
Keywords: روش همبستگی; Radial basis functions; Eigenfunction expansion; Gaussian kernel; Boundary value problems; Collocation method
Block Radial Basis Function Collocation Meshless method applied to steady and transient neutronics problem solutions in multi-material reactor cores
Keywords: روش همبستگی; Radial Basis Function (RBF); Collocation method; Neutron diffusion equation (NDE); Neutronics; Nuclear reactor core;
One-step L(α)-stable temporal integration for the backward semi-Lagrangian scheme and its application in guiding center problems
Keywords: روش همبستگی; Collocation method; Stability; Backward semi-Lagrangian method; Guiding center problem; Initial value problem;
Fully isogeometric modeling and analysis of nonlinear 3D beams with spatially varying geometric and material parameters
Keywords: روش همبستگی; Isogeometric analysis; 3D beams; Spatially varying materials; Functionally graded beams; Collocation method;
An explicit spectral collocation method for the linearized Korteweg-de Vries equation on unbounded domain
Keywords: روش همبستگی; Linearized Korteweg-de Vries equation; Collocation method; Non-polynomial basis functions; Transparent boundary conditions; Unbounded domain;
Numerical analysis of a collocation method for functional integral equations
Keywords: روش همبستگی; Nonlinear Fredholm integral equation; Collocation method; Picard iteration;
A fourth order cubic B-spline collocation method for the numerical study of the RLW and MRLW equations
Keywords: روش همبستگی; RLW equation; MRLW equation; B-spline functions; Crank-Nicolson method; Collocation method; Gauss elimination method;
Solution of the boundary layer flow of an Eyring-Powell non-Newtonian fluid over a linear stretching sheet by collocation method
Keywords: روش همبستگی; Boundary layer flow; Collocation method; Eyring-Powell fluid; Stretching sheet;
Barycentric rational collocation methods for a class of nonlinear parabolic partial differential equations
Keywords: روش همبستگی; Barycentric rational interpolation; Collocation method; Runge-Kutta method; Parabolic PDEs;
Numerical solution of time fractional nonlinear Klein-Gordon equation using Sinc-Chebyshev collocation method
Keywords: روش همبستگی; Fractional Klein-Gordon equation; Sinc functions; Shifted Chebyshev polynomials of second kind; Collocation method; Caputo derivative;
Wavelet collocation methods for solving the Pennes bioheat transfer equation
Keywords: روش همبستگی; Wavelet; MRA; Daubechies wavelet; Collocation method; Finite difference method; Pennes bioheat transfer equation;
A meshfree method for solving multidimensional linear Fredholm integral equations on the hypercube domains
Keywords: روش همبستگی; Multidimensional integral equation; Radial basis functions; Collocation method; Hypercube domains;
Theoretical study on continuous polynomial wavelet bases through wavelet series collocation method for nonlinear Lane-Emden type equations
Keywords: روش همبستگی; Legendre wavelet; Hermite wavelet; Laguerre wavelet; Lane-Emden type equations; Collocation method; Isomorphism; 42C40; 34A12; 65N35;
Optimal-order isogeometric collocation at Galerkin superconvergent points
Keywords: روش همبستگی; Isogeometric analysis; B-splines; NURBS; Collocation method; Superconvergent points;
Smoothing transformation and spline collocation for weakly singular Volterra integro-differential equations
Keywords: روش همبستگی; Weakly singular Volterra integro-differential equation; Smoothing; Collocation method;
Highly accurate numerical schemes for multi-dimensional space variable-order fractional Schrödinger equations
Keywords: روش همبستگی; Two-dimensional variable-order fractional nonlinear Schrödinger equation; Collocation method; Implicit Runge-Kutta method; Jacobi polynomials; Variable-order fractional derivatives;
Numerical solutions of nonlinear two-dimensional partial Volterra integro-differential equations by Haar wavelet
Keywords: روش همبستگی; 65R20; 65G99; 65N30; 47A58; Nonlinear two-dimensional partial Volterra integro-differential equation; Collocation method; Two-dimensional wavelets basis; Experimental rate of convergence;
Isogeometric collocation methods for Cosserat rods and rod structures
Keywords: روش همبستگی; Isogeometric analysis; Collocation method; NURBS basis functions; Cosserat rod model; Rod structures; Locking-free methods;
An embedded formula of the Chebyshev collocation method for stiff problems
Keywords: روش همبستگی; Generalized Chebyshev polynomial; Collocation method; Embedded formula; Stiff initial value problem;
An isogeometric collocation method for frictionless contact of Cosserat rods
Keywords: روش همبستگی; Isogeometric analysis; Collocation method; Contact formulation; Nonlinear rods;
Biorthogonal multiwavelets on the interval for numerical solutions of Burgers' equation
Keywords: روش همبستگی; Hermite cubic splines; Biorthogonal multiwavelets with symmetry; Burgers' equation; Collocation method; Operational matrix of derivative; Operational matrix of product;
Collocation method for Generalized Abel’s integral equations
Keywords: روش همبستگی; Generalized Abel’s integral equations; Collocation method
Bridged cracks of mode III with surface elasticity
Keywords: روش همبستگی; Surface elasticity; Crack bridging; Dugdale model; Cauchy singular integro-differential equations; Chebyshev polynomials; Collocation method
Solitary-wave solutions of the GRLW equation using septic B-spline collocation method
Keywords: روش همبستگی; GRLW equation; Collocation method; Septic B-spline; Soliton; Solitary waves41A15; 65L60; 76B25
Band structure computation of in-plane elastic waves in 2D phononic crystals by a meshfree local RBF collocation method
Keywords: روش همبستگی; Elastic waves; 2D phononic crystals; Band structures; Band gaps; Eigenvalue problems; Radial basis functions; Collocation method; Finite element method