Elzaki Transform Series Decomposition Method for Solving Bratu Problems

In this paper, the Elzaki transform series decomposition method is used numerically to solve nonlinear Bratu differential equations. The method combines the Elzaki transform, series expansion and Adomian polynomials, and hence converges absolutely to the exact solution. Additionally, two numerical examples were presented to illustrate the efficacy and dependability of the suggested approach. Applications for the work can be found in mathematics as well as a number of other scientific and engineering disciplines. Calculations were done using maple 2018 software.

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Publication Details

Journal
Adıyaman üniversitesi fen bilimleri dergisi
Published
2026-06-30
DOI
https://doi.org/10.37094/adyujsci.1837317
Primary Topic
Fractional Differential Equations Solutions
Type
article
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0.00
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article

Elzaki Transform Series Decomposition Method for Solving Bratu Problems

Enyinnaya Ekuma-Okereke, Ikechukwu Jackson Otaide
Adıyaman üniversitesi fen bilimleri dergisi
Fractional Differential Equations Solutions
article

Elzaki Transform Series Decomposition Method for Solving Bratu Problems

Enyinnaya Ekuma-Okereke, Ikechukwu Jackson Otaide
article en

Abstract

In this paper, the Elzaki transform series decomposition method is used numerically to solve nonlinear Bratu differential equations. The method combines the Elzaki transform, series expansion and Adomian polynomials, and hence converges absolutely to the exact solution. Additionally, two numerical examples were presented to illustrate the efficacy and dependability of the suggested approach. Applications for the work can be found in mathematics as well as a number of other scientific and engineering disciplines. Calculations were done using maple 2018 software.

Adıyaman üniversitesi fen bilimleri dergisiVol. 16(1)
Federal University of Petroleum Resource Effurun (NG)
Openalex Percentile: Top 9%
Fractional Differential Equations Solutions
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