Numerical solution of a parabolic equation with non-local boundary specifications
type: Item
instance of: scholarly article
title: Numerical solution of a parabolic equation with non-local boundary specifications
zbMATH Open document ID: 1032.65104
DOI: 10.1016/S0096-3003(02)00479-4
published in: Applied Mathematics and Computation
publication date: 2003-11-25T00:00:00Z
Mathematics Subject Classification ID: 65M20
Mathematics Subject Classification ID: 35K60
Mathematics Subject Classification ID: 65L12
Mathematics Subject Classification ID: 65Y05
zbMATH DE Number: 2008960
zbMATH Keywords: One-dimensional parabolic equation
zbMATH Keywords: numerical examples
zbMATH Keywords: Non-local boundary conditions
zbMATH Keywords: parallel algorithms
zbMATH Keywords: Páde approximant
zbMATH Keywords: Central processor time
zbMATH Keywords: initial boundary-value problem
zbMATH Keywords: method of lines
zbMATH Keywords: semi-discretization
zbMATH Keywords: finite-difference
zbMATH Keywords: matrix exponential
author: Mehdi Dehghan
MaRDI profile type: Publication
cites work: A Cauchy problem for the heat equation
cites work: Diffusion subject to the specification of mass
cites work: A Galerkin Procedure for the Diffusion Equation Subject to the Specification of Mass
cites work: A class of nonlinear non-classical parabolic equations
cites work: A reaction-diffusion system arising in modelling man-environment diseases
cites work: Extensions of a property of the heat equation to linear thermoelasticity and other theories
cites work: A decreasing property of solutions of parabolic equations with applications to thermoelasticity
cites work: Q4358561
cites work: The Extrapolation of First Order Methods for Parabolic Partial Differential Equations, II
cites work: On the numerical solution of the diffusion equation subject to the specification of mass
cites work: Remarks on a paper by W. A. Day on a maximum principle under nonlocal boundary conditions
cites work: Q4002473
cites work: Second-order, \(L_ 0\)-stable methods for the heat equation with time-dependent boundary conditions
cites work: Time-stepping algorithms for semidiscretized linear parabolic PDEs based on rational approximants with distinct real poles
cites work: A numerical method for the diffusion equation with nonlocal boundary specifications
cites work: A finite-difference solution to an inverse problem for determining a control function in a parabolic partial differential equation
cites work: A method of solution for the one-dimensional heat equation subject to nonlocal conditions
cites work: Numerical solution of the heat equation with nonlocal boundary conditions
cites work: Fully implicit finite differences methods for two-dimensional diffusion with a non-local boundary condition
description: scientific article; zbMATH DE number 2008960