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Mathematical Problems in Engineering, ISSN 1024-123X, 2018, Volume 2018, pp. 1 - 13
Journal Article
Discrete Dynamics in Nature and Society, ISSN 1026-0226, 2019, Volume 2019, pp. 1 - 15
Transcendental functions are a fundamental building block of science and engineering. Among them, a relatively new function denominated as Lambert W is... 
MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | SERIES | MODELS | MULTIDISCIPLINARY SCIENCES | GENERATION | HALLEY METHODS | NEWTON | EQUATION | REAL-VALUED BRANCH | Transcendental functions | Digits | Computational mathematics | Asymptotic methods | Power series | Physics | Pedagogy | Algorithms | Applied mathematics | Ordinary differential equations | Software | Statistical mechanics | Methods
Journal Article
DISCRETE DYNAMICS IN NATURE AND SOCIETY, ISSN 1026-0226, 2019, Volume 2019, pp. 1 - 9
This article utilizes perturbation method (PM) to find an analytical approximate solution for the Quasi-Steady-State Michaelis-Menten problem. From the... 
MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MULTIDISCIPLINARY SCIENCES | Boundary value problems | Boundary conditions | Chemical reactions | Computational mathematics | Laplace transforms | Steady state | Problems | Perturbation methods | Applied mathematics | Mechanics | Ordinary differential equations | Enzyme kinetics | Methods
Journal Article
Discrete Dynamics in Nature and Society, ISSN 1026-0226, 01/2020, Volume 2020, pp. 1 - 12
This work introduces a novel modification of classical perturbation method (PM), denominated Optimized Distribution of Boundary Conditions Perturbation Method... 
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 03/2013, Volume 219, Issue 14, pp. 7514 - 7532
Autonomous and semi-autonomous robots play significant roles in space and terrestrial exploration, even more in unfavorable and dangerous environments.... 
Robot navigation | Homotopy continuation method | Path planning | FIXED-POINT HOMOTOPY | POLYNOMIAL SYSTEMS | MATHEMATICS, APPLIED | ROBOT | ALGORITHM | DC OPERATING POINTS | CURVE TRACKING | CIRCUITS | SPACE | NONLINEAR EQUATIONS | OPTIMIZATION | Discovery and exploration | Analysis | Outer space | Robots | Methods
Journal Article
Applied Mathematical Modelling, ISSN 0307-904X, 01/2017, Volume 41, pp. 180 - 194
This paper presents a modified Laplace transform homotopy perturbation method with finite boundary conditions (MLT–HPM) designed to improve the accuracy of the... 
Laplace transform | Homotopy perturbation method | Differential equations | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | ENGINEERING, MULTIDISCIPLINARY | HEAT-TRANSFER | HES POLYNOMIALS | EQUATION | FLOW | Engineering schools | Physical instruments | Analysis | Methods
Journal Article
Neural Computing and Applications, ISSN 0941-0643, 3/2017, Volume 28, Issue 3, pp. 585 - 595
Journal Article
Mathematical Problems in Engineering, ISSN 1024-123X, 2012, Volume 2012, pp. 1 - 22
The integral of the standard normal distribution function is an integral without solution and represents the probability that an aleatory variable normally... 
HOMOTOPY-PERTURBATION METHOD | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | ENGINEERING, MULTIDISCIPLINARY | EQUATION
Journal Article
Acta Universitaria, ISSN 0188-6266, 09/2019, Volume 29, pp. 1 - 18
This article proposes a handy, accurate, invertible and integrable expression for Dawson’s function. It can be observed that the biggest relative error... 
Journal Article
Acta Universitaria, ISSN 0188-6266, 09/2019, Volume 29, pp. 1 - 14
This work introduces the Laplace Transform-Homotopy Perturbation Method (LT-HPM) in order to provide an approximate solution for Troesch’s problem. After... 
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 2013, Volume 219, Issue 12, pp. 6707 - 6718
In this paper we study a generalization of the Johann Bernoulli's solution of the brachistocrone problem. We will see that his method can be quickly extended... 
Integral | Brachistochrone | Differential equation | Calculus of variations | MATHEMATICS, APPLIED
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 03/2013, Volume 219, Issue 14, pp. 7514 - 7532
Autonomous and semi-autonomous robots play significant roles in space and terrestrial exploration, even more in unfavorable and dangerous environments.... 
Nonlinear equations | Exploration | Trajectories | Temporal logic | Dangerous | Robots | Continuation methods | Three dimensional
Journal Article
Sādhanā, ISSN 0256-2499, 2/2019, Volume 44, Issue 2, pp. 1 - 9
In this paper, a new representation of polygonal curves is proposed. The motivation behind this proposal is to find a descriptive model with potential... 
Engineering | piecewise linear | Engineering, general | similarity geometry | shape identification | Polygonal curves | EXTRACTION | ENGINEERING, MULTIDISCIPLINARY
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 02/2013, Volume 219, Issue 12, pp. 6707 - 6718
In this paper we study a generalization of the Johann Bernoulli’s solution of the brachistocrone problem. We will see that his method can be quickly extended... 
Integral | Brachistochrone | Differential equation | Calculus of variations
Journal Article
Applied Mathematics and Computation, ISSN 0096-3003, 02/2013, Volume 219, Issue 12, pp. 6707 - 6718
In this paper we study a generalization of the Johann Bernoullias solution of the brachistocrone problem. We will see that his method can be quickly extended... 
Equivalence | Computation | Mathematical analysis | Calculus | Mathematical models | Calculus of variations | Formalism
Journal Article
Applied Mathematical Modelling, ISSN 1088-8691, 01/2017, Volume 41, p. 180
This paper presents a modified Laplace transform homotopy perturbation method with finite boundary conditions (MLT-HPM) designed to improve the accuracy of the... 
Studies | Errors | Nonlinear equations | Error analysis | Approximation | Mathematical analysis | Differential equations | Boundary conditions | Laplace transforms | Perturbation
Journal Article
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