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

页数：6

共 50 条

[1] Stability of finite difference schemes for two-space dimensional telegraph equation
Mahmut Modanli
Fatih Ozbag
Pramana, 96
[2] A method based on meshless approach for the numerical solution of the two-space dimensional hyperbolic telegraph equation
Dehghan, Mehdi
Salehi, Rezvan
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2012, 35 (10) : 1220 - 1233
[3] Finite difference schemes for the two-dimensional semilinear wave equation
Achouri, Talha
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2019, 35 (01) : 200 - 221
[4] An efficient wavelet collocation method for nonlinear two-space dimensional Fisher–Kolmogorov–Petrovsky–Piscounov equation and two-space dimensional extended Fisher–Kolmogorov equation
Ömer Oruç
Engineering with Computers, 2020, 36 : 839 - 856
[5] Some efficient numerical schemes for approximating the nonlinear two-space dimensional extended Fisher-Kolmogorov equation
Qiao, L.
Nikan, O.
Avazzadeh, Z.
APPLIED NUMERICAL MATHEMATICS, 2023, 185 (466-482) : 466 - 482
[6] On the strong stability of finite difference schemes for hyperbolic systems in two space dimensions
Coulombel, Jean-Francois
CALCOLO, 2014, 51 (01) : 97 - 108
[7] On the strong stability of finite difference schemes for hyperbolic systems in two space dimensions
Jean-François Coulombel
Calcolo, 2014, 51 : 97 - 108
[8] An efficient wavelet collocation method for nonlinear two-space dimensional Fisher-Kolmogorov-Petrovsky-Piscounov equation and two-space dimensional extended Fisher-Kolmogorov equation
Oruc, Omer
ENGINEERING WITH COMPUTERS, 2020, 36 (03) : 839 - 856
[9] THE STABILITY OF DIFFERENCE SCHEMES OF A HIGHER DIMENSIONAL PARABOLIC EQUATION
孙其仁
Applied Mathematics and Mechanics(English Edition), 1991, (12) : 1209 - 1215
[10] A two-space dimensional semilinear heat equation perturbed by (Gaussian) white noise
Albeverio, S
Haba, Z
Russo, F
PROBABILITY THEORY AND RELATED FIELDS, 2001, 121 (03) : 319 - 366

← 1 2 3 4 5 →