Crank-Nicolson and Legendre spectral collocation methods for a partial integro-differential equation with a singular kernel
type: Item
instance of: scholarly article
title: Crank-Nicolson and Legendre spectral collocation methods for a partial integro-differential equation with a singular kernel
zbMATH Open document ID: 1408.65074
author: Akbar Mohebbi
published in: Journal of Computational and Applied Mathematics
publication date: 2019-01-24T00:00:00Z
Mathematics Subject Classification ID: 65M70
Mathematics Subject Classification ID: 35R09
Mathematics Subject Classification ID: 45K05
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65D32
Mathematics Subject Classification ID: 65M12
zbMATH DE Number: 7006422
zbMATH Keywords: partial integro-differential equation
zbMATH Keywords: Legendre spectral collocation
zbMATH Keywords: stability
zbMATH Keywords: convergence
zbMATH Keywords: singular kernel
MaRDI profile type: Publication
full work available at URL: j.cam.2018.09.034
OpenAlex ID: W2895751964
Wikidata QID: Q115359805
cites work: A general theory of heat conduction with finite wave speeds
cites work: An integrodifferential equation for rigid heat conductors with memory
cites work: Q3813440
cites work: Three methods based on the interpolation scaling functions and the mixed collocation finite difference schemes for the numerical solution of the nonlinear generalized Burgers-Huxley equation
cites work: Mixed finite difference and Galerkin methods for solving Burgers equations using interpolating scaling functions
cites work: Q4625397
cites work: Spectral methods for weakly singular Volterra integral equations with smooth solutions
cites work: Legendre spectral collocation method for the solution of the model describing biological species living together
cites work: Quasi wavelet based numerical method for a class of partial integro-differential equation
cites work: Solution of a partial integro-differential equation arising from viscoelasticity
cites work: Space-time spectral method for a weakly singular parabolic partial integro-differential equation on irregular domains
cites work: A finite difference scheme for partial integro-differential equations with a weakly singular kernel
cites work: A compact difference scheme for a partial integro-differential equation with a weakly singular kernel
cites work: Numerical solution of fourth-order integro-differential equations using Chebyshev cardinal functions
cites work: Spectral Methods
cites work: Approximation Results for Orthogonal Polynomials in Sobolev Spaces
cites work: New conservative difference schemes for a coupled nonlinear Schrödinger system
cites work: An implicit/explicit spectral method for Burgers' equation
DOI: 10.1016/J.CAM.2018.09.034
Recommended article: Spectral collocation methods for a partial integro-differential equation with a weakly singular kernel
Recommended article: Spectral collocation methods for nonlinear Volterra integro-differential equations with weakly singular kernels
Recommended article: Q4514554
Recommended article: Crank-Nicolson/Galerkin spectral method for solving two-dimensional time-space distributed-order weakly singular integro-partial differential equation
Recommended article: Q4981054
Recommended article: Q5361046
Recommended article: Legendre–Gauss-type spectral collocation algorithms for nonlinear ordinary/partial differential equations
Recommended article: Spectral collocation methods for nonlinear weakly singular Volterra integro‐differential equations
Recommended article: Collocation methods for a class of singular integro-differential equations
Recommended article: Q4986043
description: scientific article; zbMATH DE number 7006422