Results 261 to 270 of about 39,241 (326)
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An hp-version of the discontinuous Galerkin time-stepping method for Volterra integral equations with weakly singular kernels

Applied Numerical Mathematics, 2021
We develop and analyze an hp-version of the discontinuous Galerkin time-stepping method for linear Volterra integral equations with weakly singular kernels.
Hongjiong Tian, Lijun Yi
exaly   +2 more sources

Numerical solution of nonlinear fractional integro-differential equations with weakly singular kernels via a modification of hat functions

Applied Mathematics and Computation, 2018
In the present paper, a modification of hat functions (MHFs) has been considered for solving a class of nonlinear fractional integro-differential equations with weakly singular kernels, numerically.
S Nemati, Pedro M Lima
exaly   +2 more sources

A fast numerical algorithm based on the Taylor wavelets for solving the fractional integro‐differential equations with weakly singular kernels

Mathematical Methods in the Applied Sciences, 2019
In this paper, a fast numerical algorithm based on the Taylor wavelets is proposed for finding the numerical solutions of the fractional integro‐differential equations with weakly singular kernels.
Elham Keshavarz   +2 more
exaly   +2 more sources

On the numerical solution of a class of linear fractional integro-differential algebraic equations with weakly singular kernels

Applied Numerical Mathematics, 2019
This paper focuses on providing a novel high-order algorithm for the numerical solution of a class of linear semi-explicit fractional order integro-differential algebraic equations with weakly singular kernels using the discrete Legendre collocation ...
P Mokhtary
exaly   +2 more sources

Jacobi Spectral Methods for Volterra-Urysohn Integral Equations of Second Kind with Weakly Singular Kernels

Numerical Functional Analysis and Optimization, 2019
In this article, we discuss Jacobi spectral Galerkin and iterated Jacobi spectral Galerkin methods for Volterra-Urysohn integral equations with weakly singular kernels and obtain the convergence results in both the infinity and weighted L2-norm.
Kapil Kant, Gnaneshwar Nelakanti
exaly   +2 more sources

An efficient ADI difference scheme for the nonlocal evolution equation with multi-term weakly singular kernels in three dimensions

International Journal of Computational Mathematics, 2023
The paper constructs a fast efficient numerical scheme for the nonlocal evolution equation with three weakly singular kernels in three-dimensional space.
Ziyi Zhou   +3 more
semanticscholar   +1 more source

Galerkin spectral method for linear second‐kind Volterra integral equations with weakly singular kernels on large intervals

Mathematical methods in the applied sciences, 2023
This paper considers the Galerkin spectral method for solving linear second‐kind Volterra integral equations with weakly singular kernels on large intervals.
Walid Remili, A. Rahmoune, Chenkuan Li
semanticscholar   +1 more source

Finite element and DG analysis for neutral-type Volterra integro-differential equations with weakly singular kernels

open access: yesJournal of Mathematical Analysis and Applications, 2009
In this paper we analyze the numerical solution of Volterra integro-differential equations of neutral type with weakly singular kernels. We establish a priori error estimations for the finite-element-method semi-discretization of the given problem by ...
Jingtang Ma
exaly   +2 more sources

Collocation methods based on barycentric rational interpolation for Volterra integro‐differential equations with weakly singular kernels

Mathematical methods in the applied sciences, 2023
This paper is concerned with the numerical solution of Volterra integro‐differential equations with weakly singular kernels. A smoothing transformation is first used to convert the original equation to a new equation with better regularity. A collocation
Zexiong Zhao, Chengming Huang
semanticscholar   +1 more source

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