Finite element methods of the two nonlinear integro-differential equations
type: Item
instance of: scholarly article
title: Finite element methods of the two nonlinear integro-differential equations
zbMATH Open document ID: 0786.65127
DOI: 10.1016/0096-3003(93)90139-6
author: Da Xu
published in: Applied Mathematics and Computation
publication date: 1994-05-03T00:00:00Z
review text: The author considers initial-boundary value problems for two nonlinear integro-differential equations. Here the discretization is carried through by piecewise linear polynomials in space and by the implicit Euler method in time with quadrature rules which require the storage of relatively few values of the solution. An estimate of the discretization error in the maximum norm is presented.
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 45K05
Mathematics Subject Classification ID: 45G10
zbMATH DE Number: 465541
zbMATH Keywords: finite element methods
zbMATH Keywords: initial-boundary value problems
zbMATH Keywords: nonlinear integro-differential equations
zbMATH Keywords: piecewise linear polynomials
zbMATH Keywords: implicit Euler method
zbMATH Keywords: quadrature rules
reviewed by: Lechoslaw Hącia
MaRDI profile type: Publication
full work available at URL: 0096-3003(93)90139-6
OpenAlex ID: W2054557158
cites work: Interpolation of coefficients and transformation of the dependent variable in finite element methods for the non-linear heat equation
cites work: Error Estimates of Optimal Order for Finite Element Methods with Interpolated Coefficients for the Nonlinear Heat Equation
cites work: Q3885130
cites work: Asymptotic error expansion and Richardson extrapolation for linear finite elements
cites work: Q3698211
cites work: Q3789012
cites work: Some Optimal Error Estimates for Piecewise Linear Finite Element Approximations
cites work: Q3890207
cites work: Numerical Solution of Semilinear Integrodifferential Equations of Parabolic Type with Nonsmooth Data
cites work: Finite element methods for parabolic and hyperbolic partial integro-differential equations
cites work: Time Discretization of an Integro-Differential Equation of Parabolic Type
cites work: Error Estimates for Semidiscrete Finite Element Methods for Parabolic Integro-Differential Equations
cites work: Galerkin finite element methods for parabolic problems
cites work: Q3806771
cites work: Q4136468
description: scientific article; zbMATH DE number 465541