A compact difference scheme for solving fractional neutral parabolic differential equation with proportional delay
type: Item
instance of: scholarly article
title: A compact difference scheme for solving fractional neutral parabolic differential equation with proportional delay
zbMATH Open document ID: 1376.65114
DOI: 10.1155/2017/3679526
author: Wei Gu
author: Yanli Zhou
author: Xiangyu Ge
published in: Journal of Function Spaces
publication date: 2017-11-01T00:00:00Z
review text: Summary: A linearized compact finite difference scheme is constructed for solving the fractional neutral parabolic differential equation with proportional delay. By the energy method, the unconditional stability of the scheme is proved, and the convergence order of the scheme is proved to be \(O(\tau^{2-\alpha}+h^4)\). A numerical test is also conducted to validate the accuracy and efficiency of the numerical algorithm.
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 35K55
Mathematics Subject Classification ID: 35R11
Mathematics Subject Classification ID: 35K20
Mathematics Subject Classification ID: 35R10
Mathematics Subject Classification ID: 65M12
zbMATH DE Number: 6801995
zbMATH Keywords: numerical example
zbMATH Keywords: compact finite difference scheme
zbMATH Keywords: fractional neutral parabolic differential equation with proportional delay
zbMATH Keywords: energy method
zbMATH Keywords: convergence
zbMATH Keywords: algorithm
Wikidata QID: Q115243990
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2017/3679526
OpenAlex ID: W2765097452
cites work: A non-local PDE model for population dynamics with state-selective delay: local theory and global attractors
cites work: Solutions for the cell cycle in cell lines derived from human tumors
cites work: Long time behavior of non-Fickian delay reaction-diffusion equations
cites work: A linearized compact difference scheme for a class of nonlinear delay partial differential equations
cites work: A compact difference scheme combined with extrapolation techniques for solving a class of neutral delay parabolic differential equations
cites work: A compact difference scheme for a class of variable coefficient quasilinear parabolic equations with delay
cites work: A note on compact finite difference method for reaction-diffusion equations with delay
cites work: The random walk's guide to anomalous diffusion: A fractional dynamics approach
cites work: An implicit numerical method for the two-dimensional fractional percolation equation
cites work: Computational methods for delay parabolic and time-fractional partial differential equations
cites work: Analysis of the compact difference scheme for the semilinear fractional partial differential equation with time delay
cites work: A fully discrete difference scheme for a diffusion-wave system
cites work: Finite difference approximations for the fractional Fokker-Planck equation
description: scientific article; zbMATH DE number 6801995