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Journals / Gazi University Journal of Science / 2023 / Volume: 36 Issue: 4

A Robust Numerical Approach for Singularly Perturbed Problem with Integral Boundary Condition

The Approximate Solution of Singularly Perturbed Burger-Huxley Equation with RDTM

Derya Arslan(BİTLİS EREN ÜNİVERSİTESİ)0000-0001-6138-0607
Pages
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Publication Date
2023-12-01
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AI Summary & Key Takeaways

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

Thus, the correctness and sufficiency of the method are shown.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this research, the numerical integral method procedure on uniform mesh is used to solve the singularly perturbed problem which has integral boundary value.
📊
Key Findings & Data:This method also includes the trapezoid method, the finite difference method, and the Thomas algorithm.
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Conclusion & Impact:Thus, the correctness and sufficiency of the method are shown.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Numerical integral method · Singularly perturbed problem · Finite difference method

Abstract

In this research, the numerical integral method procedure on uniform mesh is used to solve the singularly perturbed problem which has integral boundary value. This method also includes the trapezoid method, the finite difference method, and the Thomas algorithm. The problem is converted to finite difference problem by using finite difference approximations and trapezoid method. Finally, the convergence of the presented method is analyzed through sample application. Thus, the correctness and sufficiency of the method are shown.

Özet

In this paper, the numerical integral method on a uniform mesh is used to solve the singularly perturbed problem with integral boundary value. This method also includes the trapezoid method, the finite difference method, and the Thomas algorithm. The problem is converted to finite difference problem by using finite difference approximations and trapezoid method. Finally, the convergence of the presented method is analyzed through sample application. Thus, the accuracy and efficiency of the method are shown.

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Cite This Article

Arslan, D. (2023). A Robust Numerical Approach for Singularly Perturbed Problem with Integral Boundary Condition. Gazi University Journal of Science, Volume: 36 Issue: 4. https://doi.org/10.35378/gujs.935885

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