Monotone Finite Difference Schemes for Quasilinear Parabolic Problems with Mixed Boundary Conditions-Reference-Cited by-同舟云学术

Monotone Finite Difference Schemes for Quasilinear Parabolic Problems with Mixed Boundary Conditions

Published:2016-04-01 Issue:2 Volume:16 Page:231-243
ISSN:1609-4840
Container-title:Computational Methods in Applied Mathematics
language:
Short-container-title:

Author:

Gaspar Francisco José¹,Lisbona Francisco Javier²,Matus Piotr P.³,Tuyen Vo Thi Kim⁴

Affiliation:

1. 1Department of Applied Mathematics, University of Zaragoza, Pedro Cerbuna 12, 50009 Zaragoza, Spain

2. 2Department of Applied Mathematics, University of Zaragoza, Pedro Cerbuna 12, 50009 Zaragoza, Spain

3. 3Institute of Mathematics and Computer Science, The John Paul II Catholic University of Lublin, Al. Raclawickie 14, 20-950 Lublin, Poland; and Institute of Mathematics, NAS of Belarus, 11 Surganov Str., 20072 Minsk, Belarus

4. 4Belarusian State University, 4 Nezavisimosti avenue, 220030 Minsk, Belarus

Abstract

AbstractIn this paper, we consider finite difference methods for two-dimensional quasilinear parabolic problems with mixed Dirichlet–Neumann boundary conditions. Some strong two-side estimates for the difference solution are provided and convergence results in the discrete norm are proved. Numerical examples illustrate the good performance of the proposed numerical approach.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Computational Mathematics,Numerical Analysis

Link

https://www.degruyter.com/downloadpdf/journals/cmam/16/2/article-p231.xml

Cited by 6 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. On the Nonstandard Maximum Principle and Its Application for Construction of Monotone Finite-Difference Schemes for Multidimensional Quasilinear Parabolic Equations;Ukrainian Mathematical Journal;2024-06

2. On the nonstandard maximum principle and its application for construction of monotone finite-difference schemes for multidimensional quasilinear parabolic equations;Ukrains’kyi Matematychnyi Zhurnal;2024-02-02

3. Solution of the mixed boundary problem for the Poisson equation on two-dimensional irregular domains;Informatics;2023-06-29

4. Compact and Monotone Difference Schemes for the Generalized Fisher Equation;Differential Equations;2022-07

5. Compact and Monotone Difference Schemes for Parabolic Equations;Mathematical Models and Computer Simulations;2021-11