DOI: 10.37094/adyujsci.1837317 ISSN: 2147-1630

Elzaki Transform Series Decomposition Method for Solving Bratu Problems

Ikechukwu Otaıde, Enyinnaya Ekuma-Okereke
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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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