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Otaide, Ikechukwu Jackson
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Agriculture, Biological Sciences & Forestry Biochemistry, Genetics & Molecular Biology Chemistry Materials Science & Nanotechnology Physics

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Efficient Numerical Method for Generating Closed Form Solution for Nonlinear Bratu Differential Equations Otaide, Ikechukwu Jackson; Ekuma-Okereke Enyinnaya
Journal of Natural Sciences and Mathematics Research Vol. 11 No. 2 (2025): December
Publisher : Faculty of Science and Technology, Universitas Islam Negeri Walisongo Semarang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21580/jnsmr.v11i2.26950

Abstract

This study presents a numerical solution of the Bratu differential equations (BDE) using the Sumudu transform series decomposition technique (STSDT). The process combines the Adomian polynomials (AP), series expansion (SE), and Sumudu transform (ST), and it ultimately converges perfectly to the exact solution. Examining four test problems demonstrates that the strategy converges more effectively than the literature-based approach. Calculations were performed using Maple 2022 software.
Co-Authors Ekuma-Okereke Enyinnaya