3 papers
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…
quant-ph2018
A study of periodic potentials based on quadratic splines
Manuel Gadella, Luis Pedro Lara
We discuss a method based on a segmentary approximation of solutions of the Schrödinger by quadratic splines, for which the coefficients are determined by a variational method that…