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A symmetric version of the Euler equations by using Generalized Bernoulli Method

Heliyon, 2023-06, Vol.9 (6), p.e16947-e16947, Article e16947

2023

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PSEM Approximations for Both Branches of Lambert W Function with Applications

Discrete dynamics in nature and society, 2019-01, Vol.2019, p.1-15

2019

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A Novel Distribution and Optimization Procedure of Boundary Conditions to Enhance the Classical Perturbation Method Applied to Solve Some Relevant Heat Problems

Discrete dynamics in nature and society, 2020, Vol.2020, p.1-12

2020

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A practical proposal to obtain solutions of certain variational problems avoiding Euler formalism

Heliyon, 2020-04, Vol.6 (4), p.e03703-e03703, Article e03703

2020

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An Analytical Approximate Solution for the Quasi-Steady State Michaelis-Menten Problem

Discrete dynamics in nature and society, 2019-01, Vol.2019, p.1-9

2019

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Modified Hyperspheres Algorithm to Trace Homotopy Curves of Nonlinear Circuits Composed by Piecewise Linear Modelled Devices

TheScientificWorld, 2014-01, Vol.2014, p.938598-11

2014

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Analytical Solutions for Systems of Singular Partial Differential-Algebraic Equations

Discrete Dynamics in Nature and Society, 2015-01, Vol.2015, p.1-9

2015

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Nonlinearities Distribution Homotopy Perturbation Method Applied to Solve Nonlinear Problems: Thomas-Fermi Equation as a Case Study

Journal of Applied Mathematics, 2015-01, Vol.2015, p.1-9

2015

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Approximation of Fresnel Integrals with Applications to Diffraction Problems

Mathematical problems in engineering, 2018-01, Vol.2018, p.1-13

2018

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Laplace transform–homotopy perturbation method with arbitrary initial approximation and residual error cancelation

Applied Mathematical Modelling, 2017-01, Vol.41, p.180-194

2017

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Exploring collision-free path planning by using homotopy continuation methods

Applied mathematics and computation, 2013-03, Vol.219 (14), p.7514-7532

2013

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Approximations for Large Deflection of a Cantilever Beam under a Terminal Follower Force and Nonlinear Pendulum

Mathematical Problems in Engineering, 2013-01, Vol.2013, p.1-12

2013

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A New Methodology to Extend the Canonical Piecewise-Linear Model from One to Two Dimensions

National Academy science letters, 2021-06, Vol.44 (3), p.221-224

2021

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Extension of Laplace transform–homotopy perturbation method to solve nonlinear differential equations with variable coefficients defined with Robin boundary conditions

Neural computing & applications, 2017-03, Vol.28 (3), p.585-595

2017

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Laplace transform homotopy perturbation method for the approximation of variational problems

SpringerPlus, 2016-03, Vol.5 (1), p.276-276, Article 276

2016

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Speed-up hyperspheres homotopic path tracking algorithm for PWL circuits simulations

SpringerPlus, 2016-06, Vol.5 (1), p.890-890, Article 890

2016

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Homotopy-based direct current analysis with formal stop criterion

2014 IEEE 57th International Midwest Symposium on Circuits and Systems (MWSCAS), 2014, p.1009-1012

2014

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IEEE_Xplore

Modified nonlinearities distribution Homotopy Perturbation method as a tool to find power series solutions to ordinary differential equations

Nova scientia, 2014, Vol.6 (12), p.13-38

2014

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Approximate Solutions for Flow with a Stretching Boundary due to Partial Slip

International scholarly research notices, 2014, Vol.2014, p.747098-10

2014

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An Easy Computable Approximate Solution for a Squeezing Flow between Two Infinite Plates by using of Perturbation Method

Applied and computational mathematics (New York, N.Y. Print), 2014, Vol.3 (1), p.38

Filobello-Nino, U.

2014

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A handy exact solution for flow due to a stretching boundary with partial slip

Revista mexicana de física E, 2013-06, Vol.59 (1), p.51-55

2013

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The Study of Heat Transfer Phenomena Using PM for Approximate Solution with Dirichlet and Mixed Boundary Conditions

Applied and computational mathematics (New York, N.Y. Print), 2013, Vol.2 (6), p.143

Filobello-Nino, U.

2013

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A generalization of the Bernoulli’s method applied to brachistochrone-like problems

Applied mathematics and computation, 2013-02, Vol.219 (12), p.6707-6718

2013

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A handy, accurate, invertible and integrable expression for Dawson’s function

Acta universitaria, 2019-09, Vol.29, p.1-18

2019

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An easy and computable approximation for Troesch’s problem by using the Laplace Transform-Homotopy Perturbation Method

Acta universitaria, 2019-09, Vol.29, p.1-14

2019

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A symmetric version of the Euler equations by using Generalized Bernoulli Method

PSEM Approximations for Both Branches of Lambert W Function with Applications

A Novel Distribution and Optimization Procedure of Boundary Conditions to Enhance the Classical Perturbation Method Applied to Solve Some Relevant Heat Problems

A practical proposal to obtain solutions of certain variational problems avoiding Euler formalism

An Analytical Approximate Solution for the Quasi-Steady State Michaelis-Menten Problem

Modified Hyperspheres Algorithm to Trace Homotopy Curves of Nonlinear Circuits Composed by Piecewise Linear Modelled Devices

Analytical Solutions for Systems of Singular Partial Differential-Algebraic Equations

Nonlinearities Distribution Homotopy Perturbation Method Applied to Solve Nonlinear Problems: Thomas-Fermi Equation as a Case Study

Approximation of Fresnel Integrals with Applications to Diffraction Problems

Laplace transform–homotopy perturbation method with arbitrary initial approximation and residual error cancelation

Exploring collision-free path planning by using homotopy continuation methods

Approximations for Large Deflection of a Cantilever Beam under a Terminal Follower Force and Nonlinear Pendulum

A New Methodology to Extend the Canonical Piecewise-Linear Model from One to Two Dimensions

Extension of Laplace transform–homotopy perturbation method to solve nonlinear differential equations with variable coefficients defined with Robin boundary conditions

Laplace transform homotopy perturbation method for the approximation of variational problems

Speed-up hyperspheres homotopic path tracking algorithm for PWL circuits simulations

Homotopy-based direct current analysis with formal stop criterion

Modified nonlinearities distribution Homotopy Perturbation method as a tool to find power series solutions to ordinary differential equations

Approximate Solutions for Flow with a Stretching Boundary due to Partial Slip

An Easy Computable Approximate Solution for a Squeezing Flow between Two Infinite Plates by using of Perturbation Method

A handy exact solution for flow due to a stretching boundary with partial slip

The Study of Heat Transfer Phenomena Using PM for Approximate Solution with Dirichlet and Mixed Boundary Conditions

A generalization of the Bernoulli’s method applied to brachistochrone-like problems

A handy, accurate, invertible and integrable expression for Dawson’s function

An easy and computable approximation for Troesch’s problem by using the Laplace Transform-Homotopy Perturbation Method

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