Abstract
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.
Highlights
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
Each simulation consists on taking a Fractional Differential Equation (FDE) with its respective initial conditions and parameters, and numerically solved by using the proposed method [1]
Researchers can benefit from these data given that they could develop and validate new numerical methods for the solution of Caputo’s and Riemann-Liouville’s FDE
Summary
Numerical Analysis Numerical Solution of Fractional differential equations with Riemann-Liouville’s and Caputo’s Derivatives Table Data were acquired: Simulation. Model and make of the instruments used: Intel i3 8th generation, 8 GB Ram and 2 GB GPU. Raw. The data for the simulations were obtained taking into account the following parameters: 1) step size h ≤ 0.1. The data were obtained through simulations performed in Octave 5.1.0. Each simulation consists on taking a FDE with its respective initial conditions and parameters, and numerically solved by using the proposed method [1]. Betancur-Herrera, Nicolas Muñoz-Galeano A Numerical Method for Solving Caputo’s and Riemann-Liouville’s Fractional Differential Equations which includes multi-order fractional derivatives and variable coefficients Communications in Nonlinear Science and Numerical Simulation In Press
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