Regular Perturbation Approach to Bratu Equations with Fractional Exponent

Year 2025, Volume: 22 Issue: 2, 121 - 127, 01.11.2025

Ikechukwu Otaide , Oghenerukevwe Usu Egborge

Abstract

In this paper, the regular perturbation method is employed to obtain approximate solution of Bratu differential equations with fractional exponent. Thus, comparison of numerical results is done using different values of the perturbation parameter 𝜀. It is evident that the perturbation method is an alternative approach that should be taken into consideration while resolving a variety of real-life problems in differential equations. To show the recommended approach, three test problems were considered. The maple 18 program was used to perform calculations.

Keywords

Non-linear Differential Equation , Regular Perturbation Method , Bratu’s Type Equation , Fractional Exponent , Approximate Solution

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