Results 71 to 80 of about 444 (85)
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Advances in Applied Mathematics and Mechanics, 2020
In this paper, a Jacobi spectral collocation approximation is proposed for the solution of second-order Volterra integro-differential equations with weakly singular kernels.
Xiulian Shi
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In this paper, a Jacobi spectral collocation approximation is proposed for the solution of second-order Volterra integro-differential equations with weakly singular kernels.
Xiulian Shi
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On the approximate solutions of linear Volterra integral equations of the first kind
, 2020In this paper we solve numerically Volterra integral equations of the first kind with separable kernels. This is done by first converting the first-kind Volterra integral equations into those of the second kind and then applying the fourth-order block-by-
Christian Kasumo
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Approximate solutions of nonlinear Volterra integral equations of the first kind
, 2020We find numerical solutions of nonlinear Volterra integral equations of the first kind by first converting them into linear Volterra integral equations of the second kind.
Christian Kasumo, Edwin Moyo
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, 2015
We propose a generalized Jacobi spectral-Galerkin method for the nonlinear Volterra integral equations (VIEs) with weakly singular kernels. We establish the existence and uniqueness of the numerical solution, and characterize the convergence of the ...
Jie Shen
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We propose a generalized Jacobi spectral-Galerkin method for the nonlinear Volterra integral equations (VIEs) with weakly singular kernels. We establish the existence and uniqueness of the numerical solution, and characterize the convergence of the ...
Jie Shen
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, 2016
A spectral Jacobi-collocation approximation is proposed for Volterra delay integro-differential equations with weakly singular kernels. In this paper, we consider the special case that the underlying solutions of equations are sufficiently smooth.
Xiulian Shi, Yanping Chen
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A spectral Jacobi-collocation approximation is proposed for Volterra delay integro-differential equations with weakly singular kernels. In this paper, we consider the special case that the underlying solutions of equations are sufficiently smooth.
Xiulian Shi, Yanping Chen
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Numerical Mathematics: Theory, Methods and Applications, 2019
This paper presents an hp-version Chebyshev spectral collocation method for nonlinear Volterra integro-differential equations with weakly singular kernels.
Hong-Li Jia
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This paper presents an hp-version Chebyshev spectral collocation method for nonlinear Volterra integro-differential equations with weakly singular kernels.
Hong-Li Jia
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Numerical Mathematics: Theory, Methods and Applications, 2019
This paper is mainly concerned with the strong convergence analysis of the semi-implicit Euler method for a kind of stochastic Volterra integro-differential equations (SVIDEs).
Jianfang Gao
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This paper is mainly concerned with the strong convergence analysis of the semi-implicit Euler method for a kind of stochastic Volterra integro-differential equations (SVIDEs).
Jianfang Gao
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East Asian Journal on Applied Mathematics, 2018
A multistep Chebyshev-Gauss-Lobatto spectral collocation method for nonlinear Volterra integral equations with vanishing delays is developed. The convergence of the hp-version of the method in supremum norm is proved.
Zhong-qing Wang
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A multistep Chebyshev-Gauss-Lobatto spectral collocation method for nonlinear Volterra integral equations with vanishing delays is developed. The convergence of the hp-version of the method in supremum norm is proved.
Zhong-qing Wang
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Sarajevo Journal of Mathematics
We use a modification of Krasnoselskii's fixed point theorem introduced by T. A. Burton (see $\left[ 1\right] $ Theorem $3$) to show that the totally nonlinear neutral differential equation with variable delay\begin{multline*}x^{\prime }(t)=-a(t)x^{3}(t)+
A. Ardjouni, A. Djoudi
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We use a modification of Krasnoselskii's fixed point theorem introduced by T. A. Burton (see $\left[ 1\right] $ Theorem $3$) to show that the totally nonlinear neutral differential equation with variable delay\begin{multline*}x^{\prime }(t)=-a(t)x^{3}(t)+
A. Ardjouni, A. Djoudi
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A new method of solving Volterra integral equations in space with weight function
International Journal of Mathematical Analysis, 2019In the present paper, we study a new method for finding an approximate solution of Volterra integral equations of the second kind in the space Lp(x)[0, 2π] with weight function p(x) ≥ 1, by means of Rogozinski’s operator (
M. Nasr, M. Jabbar
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