2 citations · 4 across the 6 of their papers we have counts for
8 papers
An Extended Picard Method to solve non-linear systems of ODE with applications
Manuel Gadella, Luis P. Lara
We provide of a method to integrate first order non-linear systems of differential equations with variable coefficients. It determines approximate solutions given initial or bounda…
A note on linear differential equations with variable coefficients
Manuel Gadella, Luis Pedro Lara
In this manuscript, we deal with some particular type of homogeneous first order linear systems with variable coefficients, in which we provide qualitative properties of the soluti…
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…
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…
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…
An efficient implementation of the Hill-Harmonic Balance method to obtain Floquet exponents and solutions for homogeneous linear periodic differential equations
Manuel Gadella, Luis Pedro Lara
We propose an implementation of a method based on Fourier analysis to obtain the Floquet characteristic exponents for periodic homogeneous linear systems, which shows a high precis…
Approximation methods for the calculation of eigenvalues in ODE with periodic or anti periodic boundary conditions: Application to nanotubes
M Gadella, LP Lara, J. Negro
We compare three different methods to obtain solutions of Sturm-Liouville problems: a successive approximation method and two other iterative methods. We look for solutions with pe…
The one dimensional infinite square well with variable mass
Juan Jose Alvarez, Manuel Gadella, Luis Pedro Lara
We introduce a numerical method to obtain approximate eigenvalues for some problems of Sturm-Liouville type. As an application, we consider an infinite square well in one dimension…