Optimal difference schemes on piecewise‐uniform meshes for a singularly perturbed parabolic convection‐diffusion equation

Optimal difference schemes on piecewise‐uniform meshes for a singularly perturbed parabolic convection‐diffusion equation

A grid approximation of a boundary value problem is considered for a singularly perturbed parabolic convection‐diffusion equation. For this problem, upwind difference schemes on the well‐known piecewise‐uniform meshes converge ϵ‐uniformly in the maximum discrete norm at the rate O(N− 1lnN + N0 −1 )...

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Bibliographic Details
Main Author: Grigorii Shishkin
Format: Article
Language:English
Published: Vilnius Gediminas Technical University 2008-03-01
Series:Mathematical Modelling and Analysis
Subjects:
boundary value problem
perturbation parameter ε
parabolic convection–diffusion equation
finite difference approximation
optimal meshes
boundary layer
Online Access:https://journals.vgtu.lt/index.php/MMA/article/view/6994

Internet

https://journals.vgtu.lt/index.php/MMA/article/view/6994

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