再生核移位勒让德基函数法求解分数阶微分方程

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再生核移位勒让德基函数法求解分数阶微分方程

巩全壹,么焕民

Reproducing Kernel Shifted Legendre Basis Function Method for Solving the Fractional Differential Equations

Quanyi Gong,Huanmin Yao

表 2 求解方程(7.2),

$n$ 取不同值的绝对误差

x_n₁	$n_{1} = 6$	$x_{n_{2}}$	$n_{2} = 7$
$\frac{1}{6}$	3.56401E-08	$\frac{1}{7}$	1.44916E-08
$\frac{1}{3}$	3.99251E-08	$\frac{2}{7}$	1.57484E-08
$\frac{1}{2}$	4.35407E-08	$\frac{3}{7}$	1.68102E-08
$\frac{2}{3}$	4.64885E-08	$\frac{4}{7}$	1.76847E-08
$\frac{5}{6}$	4.87702E-08	$\frac{5}{7}$	1.83794E-08