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Journals / Cankaya University Journal of Science and Engineering / 2023 / Cilt: 20 Sayı: 2

Numerical Solution of Bratu-Type Initial Value Problems by Aboodh Adomian Decomposition Method

Olutunde ODETUNDE
Abiodun AJANİ
Abasss TAİWO
Sefiu ONİTİLO
Pages
64–75
Publication Date
2023-11-01
DOI
—
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AI Summary & Key Takeaways

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

The derived results are compared with the existing exact solution.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:This study presents an efficient method for solving Bratu equations with an initial value problem.
📊
Key Findings & Data:The procedure is based on the use of Aboodh transform and Adomian decomposition method.
💡
Conclusion & Impact:The derived results are compared with the existing exact solution.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Bratu equation · Aboodh transform · Adomian decomposition method

Abstract

This study presents an efficient method for solving Bratu equations with an initial value problem. The procedure is based on the use of Aboodh transform and Adomian decomposition method. Adomian polynomials for the index n replace the nonlinear term. The dependent variable components are also replaced in the recurrence relation by their corresponding Aboodh transform components of the same index. Therefore, the nonlinear problem is solved directly without any linearization or discretization. Examples are presented to show the effectiveness and validity of this method. The derived results are compared with the existing exact solution.

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Cite This Article

ODETUNDE, O., AJANİ, A., TAİWO, A., ONİTİLO, S. (2023). Numerical Solution of Bratu-Type Initial Value Problems by Aboodh Adomian Decomposition Method. Cankaya University Journal of Science and Engineering, Cilt: 20 Sayı: 2, 64–75. https://ajindex.com/articles/1015524

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