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Journals / An International Journal of Optimization and Control: Theories & Applications (IJOCTA) / 2019 / Cilt: 9 - Sayı: 1

On stable high order difference schemes for hyperbolic problems with the Neumann boundary conditions

Özgür YILDIRIM
Pages
60–72
Publication Date
2022-10-11
DOI
—
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AI Summary & Key Takeaways

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

Numericalresults of errors and CPU times are presented and are analyzed.

📌 3 Key Takeaways

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Objective & Hypothesis:In this paper, third and fourth order of accuracy stable difference schemesfor approximately solving multipoint nonlocal boundary value problems forhyperbolic equations with the Neumann boundary conditions are considered.Stability estimates for the solutions of these difference schemes are presented.Finite difference method is used to obtain numerical solutions.
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Key Findings & Data:In this paper, third and fourth order of accuracy stable difference schemesfor approximately solving multipoint nonlocal boundary value problems forhyperbolic equations with the Neumann boundary conditions are considered.Stability estimates for the solutions of these difference schemes are presented.Finite difference method is used to obtain numerical solutions.
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Conclusion & Impact:Numericalresults of errors and CPU times are presented and are analyzed.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this paper, third and fourth order of accuracy stable difference schemesfor approximately solving multipoint nonlocal boundary value problems forhyperbolic equations with the Neumann boundary conditions are considered.Stability estimates for the solutions of these difference schemes are presented.Finite difference method is used to obtain numerical solutions. Numericalresults of errors and CPU times are presented and are analyzed.

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Cite This Article

YILDIRIM, Ö. (2022). On stable high order difference schemes for hyperbolic problems with the Neumann boundary conditions. An International Journal of Optimization and Control: Theories & Applications (IJOCTA), Cilt: 9 - Sayı: 1, 60–72. https://ajindex.com/articles/440591

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