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math.NA2020
A discussion on the approximate solutions of first order systems of non-linear ordinary equations
J. J. Alvarez-Sanchez, M. Gadella, L. P. Lara
We develop a one step matrix method in order to obtain approximate solutions of first order systems and non-linear ordinary differential equations, reducible to first order systems…
math.NA2019
Approximate solutions of one dimensional systems with fractional derivative
Alberto Ferrari, Manuel Gadella, Luis Lara +1
The fractional calculus is useful to model non-local phenomena. We construct a method to evaluate the fractional Caputo derivative by means of a simple explicit quadratic segmentar…