Keywords: معادلات انتگرالی Fredholm; Fredholm integral equations; Cauchy integral; Spurious solution; Truncation error
مقالات ISI معادلات انتگرالی Fredholm (ترجمه نشده)
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Keywords: معادلات انتگرالی Fredholm; Haar wavelet; Fredholm integral equations; Volterra integral equations; First-order integro-differential equations; Second-order integro-differential equations; Fourth-order integro-differential equations
Legendre multi-Galerkin methods for Fredholm integral equations with weakly singular kernel and the corresponding eigenvalue problem
Keywords: معادلات انتگرالی Fredholm; Legendre spectral methods; Multi-Galerkin methods; Fredholm integral equations; Eigenvalue problem; Weakly singular kernel;
Nyström methods for bivariate Fredholm integral equations on unbounded domains
Keywords: معادلات انتگرالی Fredholm; Fredholm integral equations; Nyström method; Polynomial approximation; Orthogonal polynomials; Gaussian rules;
Meshless methods for one-dimensional oscillatory Fredholm integral equations
Keywords: معادلات انتگرالی Fredholm; Meshless methods; Fredholm integral equations; Levin's quadrature; Local radial basis function differentiation matrix; Chebyshev global differentiation matrix;
Meshless methods for two-dimensional oscillatory Fredholm integral equations
Keywords: معادلات انتگرالی Fredholm; Fredholm integral equations; Levin's quadrature; PDE; ODE; Multi-quadric radial basis function (MQ-RBF); Stationary phase point;
Spectrally accurate Nyström-solver error bounds for 1-D Fredholm integral equations of the second kind
Keywords: معادلات انتگرالی Fredholm; Fredholm integral equations; Error bounds; Spectral collocation methods; 45B05; 65L70; 65M70;
Analytical solutions for the coupled thermoelastic vibrations of the cracked Euler-Bernoulli beams by means of Green's functions
Keywords: معادلات انتگرالی Fredholm; Cracked Euler-Bernoulli beam; Thermoelastic; Green's functions; Fredholm integral equations; Laplace transform;
Analysis of the SEA-OWC-Clam wave energy device - Part A: Historical development, hydrodynamic and motion response formulations & solutions
Keywords: معادلات انتگرالی Fredholm; Multiple degrees-of-freedom; Free-surface influences; Hydrodynamic quality checks; Negative added mass; Fredholm integral equations; Boundary elements;
Improving Petrov–Galerkin elements via Chebyshev polynomials and solving Fredholm integral equation of the second kind by them
Keywords: معادلات انتگرالی Fredholm; Fredholm integral equations; Petrov–Galerkin elements; Petrov–Galerkin method; Regular pairs; Chebyshev polynomials; Generalized Petrov–Galerkin elements
Meshless methods for multivariate highly oscillatory Fredholm integral equations
Keywords: معادلات انتگرالی Fredholm; Fredholm integral equations; Partial differential equation; Levin׳s quadrature; Global meshless method; Local meshless method; Multi-quadric radial basis functions (MQ RBF)
Mode-I crack in a magnetoelectroelastic layer sandwiched by two elastic half-planes
Keywords: معادلات انتگرالی Fredholm; Magnetoelctroelastic layer; Opening impermeable crack; Fourier transform; Fredholm integral equations; Field intensity factors
Note on the integral mean value method for Fredholm integral equations of the second kind
Keywords: معادلات انتگرالی Fredholm; Fredholm integral equations; Integral mean value theorem; Degenerate kernel;
Numerical solution of Fredholm integral equations of the second kind by using integral mean value theorem II. High dimensional problems
Keywords: معادلات انتگرالی Fredholm; Integral mean value theorem; Fredholm integral equations; Multiple integral equations; Systems of integral equations;
Finite size effects on a cracked magnetoelectroelastic layer sandwiched between two elastic layers
Keywords: معادلات انتگرالی Fredholm; Finite size effects; Magnetoelctroelastic layer; Fredholm integral equations; Field intensity factor;
A new Nyström-type method for Fredholm integral equations of the second kind
Keywords: معادلات انتگرالی Fredholm; Nyström-type method; Fredholm integral equations; Convergence and error analysis; Algorithm;
Nyström method for Fredholm integral equations of the second kind in two variables on a triangle
Keywords: معادلات انتگرالی Fredholm; Fredholm integral equations; Projection methods; Nyström method
Solutions of Fredholm integral equations via discrete biquintic splines
Keywords: معادلات انتگرالی Fredholm; Fredholm integral equations; Discrete quintic and biquintic splines; Error estimates
New algorithms for the numerical solution of nonlinear Fredholm and Volterra integral equations using Haar wavelets
Keywords: معادلات انتگرالی Fredholm; Haar wavelets; Fredholm integral equations; Volterra integral equations
Optimal homotopy asymptotic method for solving nonlinear Fredholm integral equations of second kind
Keywords: معادلات انتگرالی Fredholm; Fredholm integral equations; Optimal homotopy asymptotic method; Nonlinear equations
Numerical solution of nonlinear two-dimensional Fredholm integral equations of the second kind using Gauss product quadrature rules
Keywords: معادلات انتگرالی Fredholm; Nonlinear integral equations; Fredholm integral equations; Collocation method; Iterative method; Product quadrature rules
Numerical solution of the two-dimensional Fredholm integral equations using Gaussian radial basis function
Keywords: معادلات انتگرالی Fredholm; Radial basis function; Gaussian; Two-dimensional integral equations; Fredholm integral equations
A numerical method for solving systems of linear and nonlinear integral equations of the second kind by hat basis functions
Keywords: معادلات انتگرالی Fredholm; Fredholm integral equations; Volterra integral equations; Hat functions; Vector forms; Error analysis
Numerical methods for Fredholm integral equations on the square
Keywords: معادلات انتگرالی Fredholm; Fredholm integral equations; Projection methods; Nyström method
He’s variational iteration method for solving nonlinear mixed Volterra–Fredholm integral equations
Keywords: معادلات انتگرالی Fredholm; Integral equations; Volterra integral equations; Fredholm integral equations; Nonlinear mixed Volterra–Fredholm equation; Variational iteration method
Boussinesq indentation of an isotropic elastic halfspace reinforced with an inextensible membrane
Keywords: معادلات انتگرالی Fredholm; Reinforced elastic halfspace; Inextensible membrane reinforcement; Mixed boundary value problem; Dual integral equations; Fredholm integral equations; Surface indentation; Boussinesq–Harding–Sneddon indentation
Nyström method for Cauchy singular integral equations with negative index
Keywords: معادلات انتگرالی Fredholm; 65R20; 45E05; 41A05; 41A10Cauchy singular integral equations; Fredholm integral equations; Nyström method; Gaussian quadrature rule; Lagrange interpolation; Condition number
Application of the integro-moment method to steady-state two-dimensional rarefied gas flows subject to boundary induced discontinuities
Keywords: معادلات انتگرالی Fredholm; Rarefied gas flows; Boltzmann and kinetic model equations; Fredholm integral equations; Non-equilibrium flows; Knudsen number
The Riemann-Hilbert problem and the generalized Neumann kernel on multiply connected regions
Keywords: معادلات انتگرالی Fredholm; 30E25; 45B05; Riemann-Hilbert problems; Generalized Neumann kernel; Multiply connected regions; Fredholm integral equations;
Solution of wave diffraction problems on impedance scatterers by method of continued boundary conditions
Keywords: معادلات انتگرالی Fredholm; Diffraction; Scattering; Continued boundary conditions; Scatterer; Fredholm integral equations; Fourier harmonics; Superellipsoid; Spheroid; Cone; Parabolic mirror;
Active vibration control of an elastically connected double-string continuous system
Keywords: معادلات انتگرالی Fredholm; Optimal control; String; Fredholm integral equations; Optimality conditions; Feedback control; Displacement control;
Numerical solution of Fredholm integral equations by using CAS wavelets
Keywords: معادلات انتگرالی Fredholm; CAS wavelets; Fredholm integral equations; Numerical method
Numerical solutions of the integral equations: Homotopy perturbation method and Adomian’s decomposition method
Keywords: معادلات انتگرالی Fredholm; Homotopy perturbation method; Fredholm integral equations; Adomian’s decomposition method
A comparison study between the modified decomposition method and the traditional methods for solving nonlinear integral equations
Keywords: معادلات انتگرالی Fredholm; Fredholm integral equations; Volterra integral equations; The modified decomposition method; The series solutions method; The direct computation method
Using rationalized Haar wavelet for solving linear integral equations
Keywords: معادلات انتگرالی Fredholm; Fredholm integral equations; Operational matrix; Product operation; Rationalized Haar functions;