Numerical schemes for one-dimensional parabolic equations with nonstandard initial condition.
type: Item
instance of: scholarly article
title: Numerical schemes for one-dimensional parabolic equations with nonstandard initial condition.
zbMATH Open document ID: 1033.65068
DOI: 10.1016/S0096-3003(02)00669-0
published in: Applied Mathematics and Computation
publication date: 2003-11-25T00:00:00Z
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 35K05
zbMATH DE Number: 2009104
zbMATH Keywords: Nonstandard initial condition
zbMATH Keywords: Finite difference schemes
zbMATH Keywords: Nonlocal time weighting initial condition
zbMATH Keywords: Explicit techniques
zbMATH Keywords: Implicit methods
zbMATH Keywords: Crank-Nicolson implicit formula
zbMATH Keywords: numerical experiments
author: Mehdi Dehghan
MaRDI profile type: Publication
cites work: Strong maximum principles for parabolic nonlinear problems with nonlocal inequalities together with arbitrary functionals
cites work: Theorems about the existence and uniqueness of solutions of a semilinear evolution nonlocal Cauchy problem
cites work: Theorem about existence and uniqueness of continuous solution of nonlocal problem for nonlinear hyperbolic equation
cites work: Uniqueness of solutions of parabolic semilinear nonlocal-boundary problems
cites work: Existence of a solution of a Fourier nonlocal quasilinear parabolic problem
cites work: Strong Maximum and Minimum Principles for Parabolic Problems with Non-local Inequalities
cites work: Theorem about the existence and uniqueness of a solution of a nonlocal abstract cauchy problem in a banach space
cites work: Q3682852
cites work: Determination of an unknown function in a parabolic equation with an overspecified condition
cites work: Q3684512
cites work: On non-local problems for parabolic equations
cites work: An optimum implicit recurrence formula for the heat conduction equation
cites work: Q5783502
cites work: Analytical and Numerical Solutions for a Class of Nonlocal Nonlinear Parabolic Differential Equations
cites work: Q3707286
cites work: Q3208026
cites work: Finite difference solutions for parabolic equations with the time weighting initial conditions
description: scientific article; zbMATH DE number 2009104