Stability of finite difference schemes for two-space dimensional telegraph equation

被引：2
|
作者：
Modanli, Mahmut [1 ]
Ozbag, Fatih [1 ]
机构：
[1] Harran Univ, Dept Math, Fac Art & Sci, TR-63300 Sanliurfa, Turkey
来源：
PRAMANA-JOURNAL OF PHYSICS | 2022年 / 96卷 / 04期
关键词：
Two-dimensional telegraph equation; finite difference scheme; stability;
D O I：
10.1007/s12043-022-02474-0
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
This paper is devoted to the study of two-dimensional hyperbolic partial differential telegraph equation. Converting the PDE to an ODE yields exact solution to this problem. Then, using first-order finite difference techniques, we obtain approximate numerical solutions. The numerical solution's error analysis is provided. The stability estimates of finite difference schemes, as well as some numerical tests to check the correctness with regard to the precise solution are provided.
引用
收藏
页数：6
相关论文
共 50 条
  • [21] Optimal H2-error estimates of conservative compact difference scheme for the Zakharov equation in two-space dimension
    Zhou, Xuanxuan
    Wang, Tingchun
    Ji, Bingquan
    Zhang, Luming
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2019, 42 (09) : 3088 - 3102
  • [22] A finite difference/Kansa method for the two-dimensional time and space fractional Bloch-Torrey equation
    Yang, Jiye
    Li, Yuqing
    Liu, Zhiyong
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2024, 156 : 1 - 15
  • [23] Dynamics in numerics: on two different finite difference schemes for ODEs
    Huang, Y
    Zou, XF
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2005, 181 (02) : 388 - 403
  • [24] On two linearized difference schemes for Burgers' equation
    Sun, Hong
    Sun, Zhi-zhong
    INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2015, 92 (06) : 1160 - 1179
  • [25] Stability of the weighted splitting finite-difference scheme for a two-dimensional parabolic equation with two nonlocal integral conditions
    Sajavicius, Svajunas
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2012, 64 (11) : 3485 - 3499
  • [26] Stability of Difference Splitting Schemes for Convection Diffusion Equation
    Gladky A.V.
    Cybernetics and Systems Analysis, 2017, 53 (2) : 193 - 203
  • [27] A Class of Stable and Conservative Finite Difference Schemes for the Cahn-Hilliard Equation
    Wang, Ting-chun
    Zhao, Li-mei
    Guo, Bo-ling
    ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2015, 31 (04): : 863 - 878
  • [28] STABILITY OF FINITE DIFFERENCE SCHEMES FOR COMPLEX DIFFUSION PROCESSES
    Araujo, Aderito
    Barbeiro, Silvia
    Serranho, Pedro
    SIAM JOURNAL ON NUMERICAL ANALYSIS, 2012, 50 (03) : 1284 - 1296
  • [29] Stability of central finite difference schemes for the Heston PDE
    Karel J. in ’t Hout
    Kim Volders
    Numerical Algorithms, 2012, 60 : 115 - 133
  • [30] Finite difference approximation for two-dimensional time fractional diffusion equation
    Zhuang, P.
    Liu, F.
    JOURNAL OF ALGORITHMS & COMPUTATIONAL TECHNOLOGY, 2007, 1 (01) : 1 - 15
12345