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Data for numerical solution of Caputos and Riemann–Liouvilles fractional differential equations

机译:Caputo和Riemann-Liouville分数阶微分方程数值解的数据

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摘要

The data presented in this paper are related to the paper entitled “A Numerical Method for Solving Caputo's and Riemann-Liouville's Fractional Differential Equations which includes multi-order fractional derivatives and variable coefficients”, available in the “Communications in Nonlinear Science and Numerical Simulation” journal. Here, data are included for three of the four examples of Fractional Differential Equation (FDE) reported in [1], the other data is already available in [1]. Data for each example contain: the interval of the solution, the solution by using the proposed method, the analytic solution and the absolute error. Data were obtained through Octave 5.1.0 simulations. For a better comprehension of the data, a pseudo-code of three stages and nine steps is included.
机译:本文提供的数据与题为“一种求解Caputo和Riemann-Liouville分数阶微分方程的数值方法,其中包括多阶分数阶导数和可变系数”的论文有关,该论文可在“非线性科学与数值模拟通信”中找到。日志。这里,[1]中报告的分数阶微分方程(FDE)的四个示例中的三个包括数据,其他数据在[1]中已经可用。每个示例的数据包括:解的间隔,使用建议方法的解,解析解和绝对误差。数据是通过Octave 5.1.0仿真获得的。为了更好地理解数据,包含了三个阶段和九个步骤的伪代码。

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