Keywords: هسته ای نابهنگام منحصر به فرد; 46E35; 65D05; 65J05; Double-layer and single-layer potentials; Characteristic curve; Weakly singular kernel; Spectral accuracy;
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Keywords: هسته ای نابهنگام منحصر به فرد; Eigenvalue problem; Weakly singular kernel; Hybrid collocation methods; Convergence rates;
Keywords: هسته ای نابهنگام منحصر به فرد; Integral operators; Weakly singular kernel; Data-sparse approximations; Hierarchically semiseparable matrix;
Keywords: هسته ای نابهنگام منحصر به فرد; Nonlinear Volterra integral equation; Weakly singular kernel; Hammerstein equations; Iterative solution; Product integration method;
Keywords: هسته ای نابهنگام منحصر به فرد; Linear integral operator of a Fredholm-type; Leray–Schauder degree; Nonlinear Hammerstein integral equation; Variation in the sense of Jordan; Weakly singular kernel; ϕ- and Λ-variation
Keywords: هسته ای نابهنگام منحصر به فرد; Volterra integral equation; Jacobi spectral Galerkin method; Weakly singular kernel; Convergence
Keywords: هسته ای نابهنگام منحصر به فرد; Volterra integral equation; Weakly singular kernel; Gaussian quadrature rule; Optimal order
Legendre multi-Galerkin methods for Fredholm integral equations with weakly singular kernel and the corresponding eigenvalue problem
Keywords: هسته ای نابهنگام منحصر به فرد; Legendre spectral methods; Multi-Galerkin methods; Fredholm integral equations; Eigenvalue problem; Weakly singular kernel;
Convergence analysis of Sinc-collocation methods for nonlinear Fredholm integral equations with a weakly singular kernel
Keywords: هسته ای نابهنگام منحصر به فرد; Nonlinear Fredholm integral equation; Weakly singular kernel; Sinc approximation; Collocation method; Convergence analysis
Discontinuous Galerkin method for an integro-differential equation modeling dynamic fractional order viscoelasticity
Keywords: هسته ای نابهنگام منحصر به فرد; Integro-differential equation; Fractional order viscoelasticity; Discontinuous Galerkin method; Weakly singular kernel; Stability; A priori estimate;
Iterated fast multiscale Galerkin methods for eigen-problems of compact integral operators
Keywords: هسته ای نابهنگام منحصر به فرد; Eigenvalue problems; Integral operators; Fast methods; Iterated Galerkin methods; Weakly singular kernel;
The numerical solution of weakly singular integral equations based on the meshless product integration (MPI) method with error analysis
Keywords: هسته ای نابهنگام منحصر به فرد; Fredholm integral equation; Weakly singular kernel; Radial basis function (RBF); Meshless method; Product integration method; Error analysis
Discrete product integration methods for eigen-problems of a class of non-compact integral operators
Keywords: هسته ای نابهنگام منحصر به فرد; Eigenvalue problems; Integral operators; Non-compact; Discrete product integrations; Weakly singular kernel
Quintic B-spline collocation method for fourth order partial integro-differential equations with a weakly singular kernel
Keywords: هسته ای نابهنگام منحصر به فرد; Quintic B-spline; Integro-differential equation; Weakly singular kernel; Collocation method; Backward differential formula
Sinc collocation approximation of non-smooth solution of a nonlinear weakly singular Volterra integral equation
Keywords: هسته ای نابهنگام منحصر به فرد; Nonlinear singular Volterra integral equation of second kind; Sinc collocation method; Weakly singular kernel; Whittaker’s cardinal function
A hybrid collocation method for a nonlinear Volterra integral equation with weakly singular kernel
Keywords: هسته ای نابهنگام منحصر به فرد; 65R20; 45D05Nonlinear integral equation; Weakly singular kernel; Hybrid collocation method
Sinc-collocation methods for weakly singular Fredholm integral equations of the second kind
Keywords: هسته ای نابهنگام منحصر به فرد; 65R20Fredholm integral equation; Weakly singular kernel; Sinc approximation; Smoothing transformation
On the integral equation formulations of some 2D contact problems
Keywords: هسته ای نابهنگام منحصر به فرد; 65R20; 45A05; 74K20Integral equation; Contact problem; Weakly singular kernel; Solution behavior
On the regularity of solutions to integral equations with nonsmooth kernels on a union of open intervals
Keywords: هسته ای نابهنگام منحصر به فرد; 45M05; 45B05; 45D05Fredholm integral equation; Weakly singular kernel; Boundary singularities; Smoothness of the solution; Compact operators
A numerical study of iterative refinement schemes for weakly singular integral equations
Keywords: هسته ای نابهنگام منحصر به فرد; Weakly singular kernel; Fredholm integral equation; Projection approximation; Iterative refinement; Preconditioned GMRES;
Numerical solution of Volterra integral equations of the second kind with convolution kernel by using Taylor-series expansion method
Keywords: هسته ای نابهنگام منحصر به فرد; Taylor-series; Integral equation; Weakly singular kernel; Convolution kernel;