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- Uriel Filobello-Niño, Héctor Vázquez-Leal, +5 authors C. Hoyos-Reyes
- Applied Mathematics and Computation
- 2013

In this paper we study a generalization of the Johann Bernoulli's solution of the brachisto-crone problem. We will see that his method can be quickly extended in such a way that it can be used to solve other problems in a similar way using just elementary calculus methods. In addition, we will show that it is not necessary to know Euler's formalism for the… (More)

- Uriel Filobello-Niño, Héctor Vázquez-Leal, +8 authors A. D. Contreras-Hernandez
- International scholarly research notices
- 2014

The homotopy perturbation method (HPM) is coupled with versions of Laplace-Padé and Padé methods to provide an approximate solution to the nonlinear differential equation that describes the behaviour of a flow with a stretching flat boundary due to partial slip. Comparing results between approximate and numerical solutions, we concluded that our results are… (More)

- Héctor Vázquez-Leal, Uriel Filobello-Niño, +5 authors Alejandro Díaz-Sánchez
- IEICE Electronic Express
- 2012

In general terms, it is not possible to establish symbolic explicit analytic expressions of the operating point and transient analysis for circuits containing diodes modelled using an exponential function. Therefore, this work propose replacing the diode for an equivalent circuit obtained by using a power series and a Taylor series consecutively. Finally,… (More)

- Héctor Vázquez-Leal, Arturo Sarmiento-Reyes, +6 authors Jesus Sanchez-Orea
- 2013

Electronic Instrumentation School and Atmospheric Sciences School, Universidad Veracruzana, Gonzalo Aguirre Beltrán S/N, Xalapa, Veracruz, Mexico 91000. Electronics Department, National Institute for Astrophysics, Optics and Electronics, Sta. Maria Tonantzintla, Puebla, Mexico 72000. Department of Mathematics, Zhejiang University, Hangzhou 310027, China.… (More)

- Uriel Filobello-Niño, Héctor Vázquez-Leal, +11 authors Francisco Javier Gonzalez-Martinez
- J. Applied Mathematics
- 2015

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