4.3 Article

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

Journal

PRAMANA-JOURNAL OF PHYSICS
Volume 96, Issue 4, Pages -

Publisher

INDIAN ACAD SCIENCES
DOI: 10.1007/s12043-022-02474-0

Keywords

Two-dimensional telegraph equation; finite difference scheme; stability

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This paper focuses on the study of two-dimensional hyperbolic partial differential telegraph equation, exact and approximate numerical solutions, error analysis, stability estimates of finite difference schemes, and numerical tests.
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.

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