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arXiv 1901.02503math.NAcs.NAmath.CA
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求解分数阶 Emden-Fowler 型方程的数值方法

A Numerical Approach for Solving of Fractional Emden-Fowler Type Equations

Josef Rebenda, Zdeněk Šmarda

AI总结:

本文提出利用分数阶微分变换(FDT)求解分数阶 Emden-Fowler 型微分方程的奇异初值问题,将解表示为快速可计算的收敛级数,数值实验验证了该方法正确、准确且易于实现。

摘要:

本文利用分数阶微分变换(FDT)求解分数阶 Emden-Fowler 型微分方程的奇异初值问题。模型方程的解以具有快速可计算分量的收敛级数形式算出。数值结果表明该方法应用于分数阶微分方程时正确、准确且易于实现。

英文摘要:

In the paper, we utilize the fractional differential transformation (FDT) to solving singular initial value problem of fractional Emden-Fowler type differential equations. The solutions of our model equations are calculated in the form of convergent series with fast computable components. The numerical results show that the approach is correct, accurate and easy to implement when applied to fractional differential equations.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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