Application of Homotopy Perturbation Transform Method to Resolve Lane , Emden and Emden , Fowler Equations

D. Ziane, M. Cherif, K. Belghaba
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Abstract

In this study, we will apply homotopy perturbation transform method (HPTM) to solve Lane-Emden and Emden-Fowler equations and we will also make a comparison between the result obtained by this method and the exact solutions of the same equations presented in other research. The results showed that HPTM has a high eciency and eectiveness in solving these equations and can be applied to other nonlinear partial dierential equations to obtain approximate or exat solutions
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应用同伦摄动变换方法求解Lane, Emden和Emden, Fowler方程
在本研究中,我们将采用同伦摄动变换方法(HPTM)求解Lane-Emden和Emden-Fowler方程,并将该方法得到的结果与其他研究中相同方程的精确解进行比较。结果表明,HPTM在求解这些方程时具有较高的效率和有效性,并可应用于其他非线性偏微分方程的近似解或精确解
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