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Two-Point Boundary Value Problem for Volterra–Fredholm Integro-Differential Equations and Its Numerical Analysis
AbstractA two-point boundary value problem for Volterra–Fredholm integro-differential equations is considered. To solve this problem, Dzhumabaev...
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A numerical approach for singularly perturbed reaction diffusion type Volterra-Fredholm integro-differential equations
The goal of this study is to introduce a second-order computational method to solve Volterra-Fredholm integro-differential equations involving...
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A novel approach for solving multi-term time fractional Volterra–Fredholm partial integro-differential equations
This article deals with an efficient numerical technique to solve a class of multi-term time fractional Volterra–Fredholm partial...
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A qualitative investigation on Caputo fractional neutral VF integro differential equation and its uniform stability
In this article, we consider a Caputo fractional nonlinear neutral Volterra-Fredholm (VF) type Integro differential equation (IDE). Some fundamental...
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An approach based on fractional-order Lagrange polynomials for the numerical approximation of fractional order non-linear Volterra-Fredholm integro-differential equations
This article discussed and analyzed a numerical technique based on fractional-order Lagrange polynomials to solve a class of fractional-order...
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A wavelet-based novel technique for linear and nonlinear fractional Volterra–Fredholm integro-differential equations
In this paper, a wavelet-based operational matrix scheme has been introduced to obtain the approximate solution of the linear and nonlinear...
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Approximate solution of Volterra-Fredholm integral equations using generalized barycentric rational interpolant
It is well-known that interpolation by rational functions results in a more accurate approximation than the polynomials interpolation. However,...
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Existence and computational results to Volterra–Fredholm integro-differential equations involving delay term
The present article is concerned with deriving necessary conditions for the existence theory of solution to a class of delay Fredholm–Volterra...
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A Uniformly Convergent Numerical Method for Singularly Perturbed Semilinear Integro-Differential Equations with Two Integral Boundary Conditions
AbstractThis paper purposes to present a new discrete scheme for the singularly perturbed semilinear Volterra–Fredholm integro-differential equation...
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On Ulam stabilities of iterative Fredholm and Volterra integral equations with multiple time-varying delays
In present study, we deal with nonlinear iterative Fredholm and Volterra integral equations (Fredholm and Volterra IEs) including variable time...
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Numerical solution of Volterra–Fredholm integral equation systems by operational matrices of integration based on Bernstein multi-scaling polynomials
This paper introduces a new method which is used to obtain numerical solutions of Volterra–Fredholm linear integral equation systems. In the proposed...
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An improved radial basis functions method for the high-order Volterra–Fredholm integro-differential equations
This paper is aimed at rectifying the numerical solution of linear Volterra–Fredholm integro-differential equations with the method of radial basis...
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An operational matrix method to solve linear Fredholm–Volterra integro-differential equations with piecewise intervals
In recent times, operational matrix methods become overmuch popular. Actually, we have many more operational matrix methods. In this study, a new...
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Numerical solution of system of second-order integro-differential equations using nonclassical sinc collocation method
In this paper, a nonclassical sinc collocation method is constructed for the numerical solution of systems of second-order integro-differential...
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Euler wavelets method for solving fractional-order linear Volterra–Fredholm integro-differential equations with weakly singular kernels
The main objective of this paper is to establish a fractional-order operational matrix method based on Euler wavelets for solving linear...
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Properties of Solutions to Volterra-Type Integro-Differential Equations
AbstractIn the present work, it is considered the features of solving classical Volterra-type integro-differential equations. Considered: features of...
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On Systems of Integro-Differential and Integral Equations with Identically Singular Matrix Multiplying the Principal Part
AbstractWe consider linear homogeneous systems of integro-differential and integral equations with Volterra and Fredholm matrix kernels with zero...
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A numerical technique for solving Volterra-Fredholm integral equations using Chebyshev spectral method
In this study, we propose a highly accurate technique for solving Volterra and Fredholm integral equations based on the blending of the Chebyshev...
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Application of Bernstein polynomials for solving Fredholm integro-differential-difference equations
In this paper, the Bernstein polynomials method is proposed for the numerical solution of Fredholm integro-differential-difference equation with...