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- Uriel Filobello-Nino, Hector Vazquez-Leal, +8 authors Jesus Huerta Chua
- SpringerPlus
- 2014

This article proposes Laplace Transform Homotopy Perturbation Method (LT-HPM) to find an approximate solution for the problem of an axisymmetric Newtonian fluid squeezed between two large parallel plates. After comparing figures between approximate and exact solutions, we will see that the proposed solutions besides of handy, are highly accurate and… (More)

- Uriel Filobello-Niño, Héctor Vázquez-Leal, +10 authors Mario Gonzalez-Lee
- Neural Computing and Applications
- 2015

This article proposes the application of Laplace transform–homotopy perturbation method with variable coefficients, in order to find analytical approximate solutions for nonlinear differential equations with variable coefficients. As case study, we present the oxygen diffusion problem in a spherical cell including nonlinear Michaelis–Menten uptake kinetics.… (More)

- 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)

- U. Filobello-Nino, H. Vazquez-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)

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

- U. Filobello-Nino, H. Vazquez-Leal, +11 authors J. R. Laguna-Camacho
- SpringerPlus
- 2016

This article proposes the application of Laplace Transform-Homotopy Perturbation Method and some of its modifications in order to find analytical approximate solutions for the linear and nonlinear differential equations which arise from some variational problems. As case study we will solve four ordinary differential equations, and we will show that the… (More)

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