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   Articles with "volterra integro" as a keyword



Developing the discretization method for fractal‐fractional two‐dimensional Fredholm–Volterra integro‐differential equations

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recommendations! Published in 2021 at "Mathematical Methods in the Applied Sciences"

DOI: 10.1002/mma.7694

Abstract: This paper contains the computational approach based on Mott polynomials together with the two‐dimensional Legendre–Gauss (LG) quadrature rule for fractal‐fractional two‐dimensional Fredholm–Volterra (FF‐2D‐FV) integro‐differential equations. Furthermore, we applied the modified operational matrices of integration and… read more here.

Keywords: fredholm volterra; fractal fractional; volterra integro; fractional two ... See more keywords
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New Stability Criteria for Nonlinear Volterra Integro-Differential Equations

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recommendations! Published in 2018 at "Acta Mathematica Vietnamica"

DOI: 10.1007/s40306-017-0243-y

Abstract: Using a novel approach, we present some new explicit criteria for the uniform asymptotic stability and the exponential stability of nonlinear Volterra integro-differential equations. Some examples are given to illustrate the obtained results. read more here.

Keywords: integro differential; differential equations; stability; volterra integro ... See more keywords

Spectral collocation method for weakly singular Volterra integro-differential equations

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recommendations! Published in 2019 at "Applied Numerical Mathematics"

DOI: 10.1016/j.apnum.2019.04.011

Abstract: Abstract Spectral collocation methods are developed for weakly singular Volterra integro-differential equations (VIDEs). Convergence analysis results show that global convergence order depends on the regularities of the kernels functions and solutions to VIDEs, and the… read more here.

Keywords: integro differential; singular volterra; volterra integro; weakly singular ... See more keywords

Soft computing technique for a system of fuzzy Volterra integro-differential equations in a Hilbert space

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recommendations! Published in 2020 at "Applied Numerical Mathematics"

DOI: 10.1016/j.apnum.2019.11.019

Abstract: Abstract In this article, we implement a relatively new computational technique, a reproducing kernel Hilbert space method, for solving a system of fuzzy Volterra integro-differential equations in the Hilbert space ⊕ j = 1 n… read more here.

Keywords: space; integro differential; system fuzzy; hilbert space ... See more keywords
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Convergence of the balanced Euler method for a class of stochastic Volterra integro-differential equations with non-globally Lipschitz continuous coefficients

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recommendations! Published in 2020 at "Applied Numerical Mathematics"

DOI: 10.1016/j.apnum.2020.03.010

Abstract: Abstract In this paper, we propose the balanced Euler method of a class of stochastic Volterra integro-differential equations with non-globally Lipschitz continuous coefficients. The moment boundedness and strong convergence are shown. Moreover, the theoretical results… read more here.

Keywords: stochastic volterra; balanced euler; method class; class stochastic ... See more keywords

Numerical solution of high-order linear Volterra integro-differential equations by using Taylor collocation method

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recommendations! Published in 2019 at "International Journal of Computer Mathematics"

DOI: 10.1080/00207160.2018.1484112

Abstract: ABSTRACT The main purpose of this work is to provide a new direct numerical method for high-order linear Volterra integro-differential equations (VIDEs). An algorithm based on the use of Taylor polynomials is developed for the… read more here.

Keywords: order linear; integro differential; high order; volterra integro ... See more keywords

A novel second-order fitted computational method for a singularly perturbed Volterra integro-differential equation

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recommendations! Published in 2020 at "International Journal of Computer Mathematics"

DOI: 10.1080/00207160.2019.1614565

Abstract: ABSTRACT In this paper, we deal with the second-order accurate homogeneous (non-hybrid) type difference scheme for solving a singularly perturbed first-order Volterra integro-differential equation. It is shown that the method displays uniform convergence of on… read more here.

Keywords: singularly perturbed; differential equation; order; integro differential ... See more keywords

Numerical approach for nonlinear Volterra integro-differential equations based on barycentric rational interpolation

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recommendations! Published in 2025 at "International Journal of Computer Mathematics"

DOI: 10.1080/00207160.2025.2469836

Abstract: This paper embarks on the numerical solution to nonlinear Volterra integro-differential equations, harnessing the barycentric rational interpolation. The derivative is approximated by the barycentric rational differential matrix, while the integral is numerically computed by the… read more here.

Keywords: differential equations; rational interpolation; integro differential; volterra integro ... See more keywords
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On solution of fuzzy Volterra integro-differential equations

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recommendations! Published in 2021 at "Arab Journal of Basic and Applied Sciences"

DOI: 10.1080/25765299.2021.1970874

Abstract: In this article, the Volterra integro-differential equation of separable type kernels is considered under the fuzzy concept. A hybrid technique is used to solve fuzzy integro-differential equations... read more here.

Keywords: integro differential; fuzzy volterra; differential equations; volterra integro ... See more keywords

Meshless solution of third-kind Volterra integro-differential equations using collocation and shifted Chebyshev polynomials

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recommendations! Published in 2025 at "Engineering Computations"

DOI: 10.1108/ec-01-2025-0080

Abstract: This study introduces a computational framework to solve both linear and nonlinear Volterra integro-differential equations (VIDEs) of the third kind. The framework aims to address challenges associated with solving such equations by leveraging a robust… read more here.

Keywords: kind; differential equations; integro differential; shifted chebyshev ... See more keywords

A generic numerical method for treating a system of Volterra integro-differential equations with multiple delays and variable bounds

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recommendations! Published in 2024 at "Engineering Computations"

DOI: 10.1108/ec-09-2023-0590

Abstract: PurposeThis study aims to treat a novel system of Volterra integro-differential equations with multiple delays and variable bounds, constituting a generic numerical method based on the matrix equation and a combinatoric-parametric Charlier polynomials. The proposed… read more here.

Keywords: system; method; differential equations; integro differential ... See more keywords