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Journals / An International Journal of Optimization and Control: Theories & Applications (IJOCTA) / 2020 / Cilt: 10 - Sayı: 2

Using matrix stability for variable telegraph partial differential equation

Bawar Mohammed FARAJ
Mahmut MODANLI
Faraedoon Waly AHMED
Pages
237–243
Publication Date
2022-10-11
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

The erroranalysis table presents the obtained numerical results.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The variable telegraph partial differential equation depend on initial boundaryvalue problem has been studied.
📊
Key Findings & Data:The coefficient constant time-space telegraphpartial differential equation is obtained from the variable telegraph partialdifferential equation throughout using Cauchy-Euler formula.
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Conclusion & Impact:The erroranalysis table presents the obtained numerical results.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

The variable telegraph partial differential equation depend on initial boundaryvalue problem has been studied. The coefficient constant time-space telegraphpartial differential equation is obtained from the variable telegraph partialdifferential equation throughout using Cauchy-Euler formula. The first andsecond order difference schemes were constructed for both of coefficient constant time-space and variable time-space telegraph partial differential equation.Matrix stability method is used to prove stability of difference schemes for thevariable and coefficient telegraph partial differential equation. The variabletelegraph partial differential equation and the constant coefficient time-spacetelegraph partial differential equation are compared with the exact solution.Finally, approximation solution has been found for both equations. The erroranalysis table presents the obtained numerical results.

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Cite This Article

FARAJ, B. M., MODANLI, M., AHMED, F. W. (2022). Using matrix stability for variable telegraph partial differential equation. An International Journal of Optimization and Control: Theories & Applications (IJOCTA), Cilt: 10 - Sayı: 2, 237–243. https://ajindex.com/articles/440571

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