Keywords: Volterra equation; Nonlinearity; Power-type; Numerical method; 45D05; 65R20; 45G10;
مقالات ISI (ترجمه نشده)
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Keywords: 65R20; 65G99; 65N30; 47A58; Nonlinear two-dimensional Fredholm integral equation; Bernstein collocation method; Two-dimensional Bernstein basis; Two-dimensional functions numerical integration;
Keywords: 26A33; 37C25; 45D05; 45E10; 65D30; 65R20; Fractional integral equations; Abel integral equations; Fixed-point theory; Picard iteration; Numerical approximation; Product integration;
Keywords: Neutral and high-order Volterra-Fredholm integro-differential equation; Legendre-spectral method; Guass quadrature formula; Convergence analysis; 45J05; 65R20; 34K06; 34K28;
Keywords: 65R20; 45J05; 65N12; Multidimensional nonlinear Volterra integral equation; Chebyshev collocation discretization; Multidimensional Gauss quadrature formula; Convergence analysis;
Keywords: 35R25; 35J05; 65R20;
Keywords: Fractional differential equation; Caputo fractional derivative; Volterra integral equation; Adapted mesh; Convergence analysis; 65L05; 65R20; 65L20;
Keywords: 65R20; 65N30; 82C21; 41A55; 45B05; 44A35; Adaptivity; Trapezoidal rule; Hadamard finite-part integrals; Error estimate;
Keywords: Collocation method; Jacobi polynomials; Nonlinear Volterra integral equation; Weakly singular; Convergence analysis; 65R20; 65M70;
Keywords: 45A05; 45L05; 45N05; 65R20; Two dimensional integral equations; Schauder bases; Banach spaces; Geometric Series theorem; Numerical methods;
Keywords: 65R20; 45D05; 34K06; Delay integral equations; Multistep collocation methods; Hermite collocation methods; Convergence analysis;
Keywords: 65R20; 65G99; 65N30; 47A58; Fredholm integro-differential equation; Wavelet Galerkin method; Wavelets basis; Convergence analysis;
Keywords: 65R20; Fragmentation equation; Finite volume schemes; Volume conservation; Consistency; Convergence;
Keywords: 45G10; 65R20; 68U20; 65C20; Bernstein polynomials; System of Volterra-Fredholm integral equations; Convergence analysis; Numerical algorithm; Gaussian quadrature;
Keywords: 65R20; 47H10; 45D05; 45G10Attractive solutions; Fixed points theorems; Nonlinear functional integral equations; Measure of noncompactness
Keywords: 65N38; 65N55; 65R20; 65D15Legendre multiwavelet; Fredholm integral equation of second kind with weakly singular kernel; Wavelet Galerkin method; Multiscale approximation
Keywords: 60G40; 60J60; 65R20; 60J65; 60J70Bivariate Wiener process; Error analysis; Hitting time; System of Volterra–Fredholm integral equations; Bivariate Kolmogorov forward equation
Keywords: 45K05; 65R20; 70C20; 74B05; 74R99; 74S20; Peridynamics; Meshfree method; Consistency; Nodal-based quadratures; Classical finite differences; Navier-Cauchy equation of classical elasticity;
Keywords: 65R20; 45E05Cauchy singular integral equation; Collocation–quadrature method; C⁎C⁎-algebra techniques
Keywords: Fredholm–Hammerstein integral equations; Spline collocation; Nonlinear integral operators41A15; 45B05; 47G10; 65D05; 65J15; 65R20
Keywords: 65R20; 42C10Volterra–Fredholm integral equations; Shifted Legendre polynomials; Gauss–Legendre nodes; Matrix equation
Keywords: Linear and nonlinear Fredholm and Volterra integral equations; Cubic B-spline; Gauss–Turán quadrature formula; Error analysis41A15; 65R20
Keywords: 65R20; 34A05Integral–algebraic equations; Index-3; Piecewise polynomial collocation methods; Error analysis; Numerical treatment
Keywords: 65M60; 65M12; 65M06; 35S10; 65R20; Finite element methods; Fractional differential equations; Convergence analysis;
Keywords: 65M15; 65M60; 65M20; 65R20; Eddy current problem; Impedance boundary conditions; Convolution quadrature; Fast and oblivious algorithms;
Keywords: 65R20; 45F15; 45J05Singular system of Volterra integro-differential equations; υυ-smoothing Volterra operator; Legendre spectral Tau methods; Error analysis
Numerical solution based on hybrid of block-pulse and parabolic functions for solving a system of nonlinear stochastic Itô-Volterra integral equations of fractional order
Keywords: 60H20; 65R20; 45D05; 26A33; 40C05; Parabolic functions; Block-pulse functions; Stochastic integral equations; Brownian motion process; Fractional calculus; Operational matrix;
An efficient algorithm for solving Volterra integro-differential equations based on Alpert's multi-wavelets Galerkin method
Keywords: 65R20; 45J05; 65T60; Volterra integro-differential equations; Multi-wavelets; Operational matrix of integration;
Superconvergence results of Legendre spectral projection methods for weakly singular Fredholm-Hammerstein integral equations
Keywords: 45B05; 45G10; 65R20; Fredholm-Hammerstein integral equations; Weakly singular kernels; Galerkin method; Multi-Galerkin method; Legendre polynomial; Superconvergence rates;
Erratum to “Numerical solution of linear Fredholm integral equation by using hybrid Taylor and Block-Pulse functions” [Appl. Math. Comput. 149 (2004) 799-806]
Keywords: Block-Pulse functions; Fredholm integral equation; Operational matrix; Product operation; Taylor polynomials; 45B05; 65R20;
The numerical solution of the semi-explicit IDAEs by discontinuous piecewise polynomial approximation
Keywords: Integro-differential-algebraic equations; Differentiability index; Piecewise polynomial collocation methods; Numerical treatment; 65R20; 45F15; 45J05;
Numerical solution of three-dimensional Volterra-Fredholm integral equations of the first and second kinds based on Bernstein's approximation
Keywords: Volterra-Fredholm integral equations; Numerical method; Three-variable Bernstein polynomials; Error estimation; 65R20; 41A50; 41A55;
Theoretical analysis of a Sinc-Nyström method for Volterra integro-differential equations and its improvement
Keywords: Sinc numerical method; Initial value problem; Convergence analysis; tanh transformation; Double-exponential transformation; 65L03; 65R20;
Two-dimensional shifted Legendre polynomials operational matrix method for solving the two-dimensional integral equations of fractional order
Keywords: Two-dimensional shifted Legendre polynomials; Two-dimensional fractional integral equations; Error estimate; Numerical algorithm; 45G10; 65R20; 68U20; 65C20;
A novel fast modification of the Adomian decomposition method to solve integral equations of the first kind with hypersingular kernels
Keywords: 45B05; 45E99; 65R20; Hypersingular integral equations of the first kind; Novel Fast Modified Adomian Decomposition Method (NFMADM);
A hybridizable discontinuous Galerkin method for elliptic interface problems in the formulation of boundary integral equations
Keywords: 65R20; 65N30; Elliptic interface problems; Hybridizable discontinuous Galerkin method; Kernel-free boundary integral method; Unfitted mesh method;
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;
Legendre spectral collocation method for volterra-hammerstein integral equation of the second kind
Keywords: Volterra-Hammerstein integral equation; Legendre collocation discretization; Gauss quadrature formula; 65R20; 45J05; 65N12;
A Nyström method for integral equations with fixed singularities of Mellin type in weighted Lp spaces
Keywords: Mellin kernel; Integral equation of Mellin type; Nyström method; Lagrange interpolation; Gaussian rule; 65R20; 45E99;
A self-consistent high dimensional modelling based decomposition approach for univariate linear integral operators: Tridiagonal Kernel Enhanced Multivariance Products Representation (TKEMPR)
Keywords: 65Fxx; 65R10; 65R20; High dimensional modelling; Linear integral operators; Enhanced Multivariance Products Representation; Tridiagonal Kernel Enhanced Multivariance Products Representation; Numerical linear algebra; Decomposition methods;
Numerical solutions of nonlinear two-dimensional partial Volterra integro-differential equations by Haar wavelet
Keywords: 65R20; 65G99; 65N30; 47A58; Nonlinear two-dimensional partial Volterra integro-differential equation; Collocation method; Two-dimensional wavelets basis; Experimental rate of convergence;
Superconvergence of Legendre spectral projection methods for Fredholm-Hammerstein integral equations
Keywords: 45B05; 45G10; 65R20; Fredholm-Hammerstein integral equations; Smooth kernels; Projection method; Multi-projection method; Legendre polynomial; Superconvergence rates;
Two cubic spline methods for solving Fredholm integral equations
Keywords: Cubic spline interpolation; Quasi-interpolation; Fredholm integral equation; 45L05; 65R20; 65D30; 65L70;
Haar wavelet method for some nonlinear Volterra integral equations of the first kind
Keywords: 65R20; 45G10; 45D05; 41A30Nonlinear Volterra integral equation; Haar wavelet; Operational matrix
Towards essential improvement for the Parareal-TR and Parareal-Gauss4 algorithms
Keywords: 65R20; 45L05; 65L20Parareal; Trapezoidal rule; 4th-order Gauss RK method; Convergence analysis
A fully discrete BEM-FEM scheme for transient acoustic waves
Keywords: 65R20; 65M38; BEM-FEM coupling; Convolution quadrature; Transient wave equation;
Sampling method based projection approach for the reconstruction of 3D acoustically penetrable scatterers
Keywords: 15A29; 45B05; 65J22; 65F22; 65M32; 65R20; 65R30Linear sampling method; Factorization method; Acoustic scattering; Far-field matrix; Generalized discrepancy principle
Legendre spectral collocation method for Fredholm integro-differential-difference equation with variable coefficients and mixed conditions
Keywords: Gauss–Legendre points; Lagrange polynomials; Legendre spectral collocation; Integro-differential-difference equations45J05; 65R20
Applying the modified block-pulse functions to solve the three-dimensional Volterra–Fredholm integral equations
Keywords: Three-dimensional; Volterra–Fredholm; Modification; Block-pulse functions; Error analysis45B05; 45D05; 65D30; 65R20
Ef-Gaussian direct quadrature methods for Volterra integral equations with periodic solution
Keywords: 65R20; 65D32; 45M15Volterra integral equations; Exponential fitting; Periodic; Direct quadrature