Green's function and stability of a linear partial difference scheme
type: Item
instance of: scholarly article
title: Green's function and stability of a linear partial difference scheme
zbMATH Open document ID: 0907.39008
DOI: 10.1016/S0898-1221(98)00003-0
author: Guo Hua Lin
author: Sui Sun Cheng
publication date: 1998-08-20T00:00:00Z
review text: The authors study a linear partial difference equation which arises from discretizing heat and first order wave equations. An explicit formula for Green's function of the equation is given. Various representation theorems, monotonicity, and oscillatory properties of Green's function are obtained. Several stability criteria for arbitrary solutions are given. Numerical computations are provided for comparison with theoretical results.
reviewed by: B. G. Pachpatte
Mathematics Subject Classification ID: 39A11
Mathematics Subject Classification ID: 35K05
Mathematics Subject Classification ID: 35L05
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65Q05
Mathematics Subject Classification ID: 39A12
zbMATH DE Number: 1192723
zbMATH Keywords: heat equation
zbMATH Keywords: oscillatory solution
zbMATH Keywords: linear partial difference equation
zbMATH Keywords: wave equations
zbMATH Keywords: Green's function
zbMATH Keywords: monotonicity
zbMATH Keywords: stability
MaRDI profile type: Publication
cites work: Q4084640
cites work: Q3279573
cites work: Q4171531
cites work: Q4002454
cites work: Q3993078
cites work: Q4083660
cites work: Fast Fourier transform method for partial differential equations, case study: The 2-D diffusion equation
full work available at URL: s0898-1221(98)00003-0
OpenAlex ID: W2075099984
published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 1192723