线性和非线性三阶分数阶微分方程的Daftar-Gejii-Jafaris方法

Mahmut Modanlı
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引用次数: 3

摘要

采用DGJ (Daftardar-GejiiJafaris)方法得到了三阶分数阶微分方程的数值解。在DGJ方法收敛的情况下,得到的近似解是有效的,逼近精确解或精确解。最后给出了一个实例来说明该方法。将该方法应用于三阶非线性分数阶偏微分方程的近似解。算例表明了该方法的不适用性和不一致性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Daftar-Gejii-Jafaris method for linear and nonlinear third order fractional differential equation
Numerical solution of the third order fractional differential equation is obtained by using DGJ (Daftardar-GejiiJafaris) method. Providing DGJ method converges, it is shown that obtained approximate solution is effective which is close to the exact solution or the exact solution. An example explained this method is presented. The proposed method is implemented for the approximation solution of the third order nonlinear fractional partial differential equations. An example which shows the method is unsuitable and inconsistent is given.
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