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An Improved Algorithm for Fredholm Integral Equations
Integral equations are of high applicability in different areas of applied mathematics, physics, engineering, geophysics, electricity and magnetism,...
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Lagrange interpolation polynomials for solving nonlinear stochastic integral equations
In this article, an accurate computational approaches based on Lagrange basis and Jacobi-Gauss collocation method is suggested to solve a class of...
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On solving 2D weakly singular Volterra integral equations of the second kind
In this paper, we present a semi-analytical approach to solving two-dimensional Volterra integral equations of the second kind which include weakly...
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An electromagnetic shape optimisation for perfectly electric conductors by the time-domain boundary integral equations
This study proposes a shape optimisation framework for unsteady electromagnetic scattering problems on the basis of the time-domain boundary integral...
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Superconvergence results for non-linear Hammerstein integral equations on unbounded domain
Many physical problems represented as initial and boundary value problems are usually solved by transforming them into integral equations on the...
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Solving non-differentiable Hammerstein integral equations via first-order divided differences
In this paper, the behavior of derivative-free techniques to approximate solutions of nonlinear Hammerstein-type integral equations in Banach space
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Operational Jacobi Galerkin method for a class of cordial Volterra integral equations
In this paper, a reliable Jacobi Galerkin method is developed and analyzed to solve a particular class of cordial Volterra integral equations....
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The series expansions and blow-up time estimation for the solutions of convolution Volterra-Hammerstein integral equations
The blow-up phenomenon may occur in nonlinear integral equations and differential equations, which has important significance for the simulation of...
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Adaptive spectral solution method for Fredholm integral equations of the second kind
The purpose of this paper is to develop and analyze an adaptive collocation method for Fredholm integral equations of the second kind, even if the...
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A generalized fuzzy barycentric Lagrange interpolation method for solving two-dimensional fuzzy fractional Volterra integral equations
In this paper, a generalized fuzzy barycentric Lagrange interpolation method is proposed to solve two-dimensional fuzzy fractional Volterra integral...
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A new numerical algorithm based on least squares method for solving stochastic Itô-Volterra integral equations
In conjunction with least squares method and generalized hat functions, we propose a new algorithm for stochastic Itô-Volterra integral equations....
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Accurate and stable numerical method based on the Floater-Hormann interpolation for stochastic Itô-Volterra integral equations
In various fields of science and engineering, such as financial mathematics, mathematical physics models, and radiation transfer, stochastic integral...
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A Numerical Approach for the System of Nonlinear Variable-order Fractional Volterra Integral Equations
In this paper, a combination approach based on Bernoulli polynomials and Gauss-Jacobi quadrature formula is developed to solve the system of...
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An easy-to-implement recursive fractional spectral-Galerkin method for multi-term weakly singular Volterra integral equations with non-smooth solutions
Multi-term weakly singular Volterra integral equations arise in numerous scientific and engineering applications modeled by fractional differential...
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Singularity separation Chebyshev collocation method for weakly singular Volterra integral equations of the second kind
Volterra integral equation of the second kind with weakly singular kernel usually exhibits singular behavior at the origin, which deteriorates the...
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Jacobi spectral projection methods for Fredholm integral equations of the first kind
In this paper, we employ Tikhonov regularization method with the projection methods using Jacobi polynomial bases to the first kind of Fredholm...
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Kurchatov-type methods for non-differentiable Hammerstein-type integral equations
We consider a generic type of nonlinear Hammerstein-type integral equations with the particularity of having non-differentiable kernel of Nemystkii...
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Numerical solution of two-dimensional Hammerstein integral equations via quadratic spline collocation
In this paper, we present a collocation method for the approximate solution of two-dimensional Hammerstein integral equations over polygonal regions...
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Fuzzy Solutions of Boundary Problems Using Interval Parametric Integral Equations System
This paper investigated the possibility of obtaining fuzzy solutions to boundary problems using the interval parametric integral equations system...
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The generalized quadrature method for a class of highly oscillatory Volterra integral equations
A generalized quadrature method is studied for Volterra integral equations with highly oscillatory kernels. According to the kernel, a two-point...
