Results 71 to 80 of about 16,421 (265)
Multisummable Solutions of Nonlinear Ordinary Differential Equations
Journal of Differential Equations, 1996 One of the main theorems is given below: A formal power series solution \[ \widehat y(x)= \sum^\infty_{k= n_0} y_k x^{- k/p},\quad p\in \mathbb{N},\quad n_0\in \mathbb{Z}, \] of a nonlinear ordinary differential equation \(x^{1- r} y'(x)= f(x, y)\), \(x\in \mathbb{C}\), \(y\in \mathbb{C}^n\), \(r\in \mathbb{Z}^+\), is multisummable in any nonsingular ...
openaire +1 more source
Advanced Engineering Materials, EarlyView.Scandium (Sc)‐doped AlCoCrFeMo HEA coatings are fabricated via flame spraying with 0.1, 0.3, and 0.5 wt% Sc additions. Among these, the HEA‐Sc0.3 coating exhibits the highest corrosion resistance, indicated by a more positive corrosion potential and lower current density.
Pankaj Kumar +7 more
wiley +1 more source
Advanced Engineering Materials, EarlyView.Coarse‐grained (left) and atomistic (right) models of the shape memory polymer ESTANE ETE 75DT3 are shown schematically. The two representations bridge molecular detail and mesoscopic description. Both models capture shape memory behavior, linking segmental mobility and conformational relaxation of anisotropic chains to macroscopic recovery, and ...
Fathollah Varnik
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On differential equations invariant under a projective transformation group: integrability and reductions [PDF]
Open Communications in Nonlinear Mathematical PhysicsWe consider a projective transformation and establish the invariants for this transformation group up to order seven. We use the obtained invariants to construct a class of nonlinear evolution equations and identify some symmetry-integrable equations in ...
Marianna Euler +2 more
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Advanced Engineering Materials, EarlyView.This study shows that superalloys used in aircraft engine disks become much more prone to deformation at high temperatures if they have been strained during manufacturing. This effect increases with the level of prior strain but eventually reaches a limit.
Fabio Machado Alves da Fonseca +9 more
wiley +1 more source
Transversal homoclinics in nonlinear systems of ordinary differential equations
Electronic Journal of Qualitative Theory of Differential Equations, 2000 Bifurcation of transversal homoclinics is studied for a pair of ordinary differential equations with periodic perturbations when the first unperturbed equation has a manifold of homoclinic solutions and the second unperturbed equation is vanishing.
Michal Fečkan
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Advanced Engineering Materials, EarlyView.This study applies machine learning regression to predict chromium layer thickness in decorative trivalent chromium electroplating, using 441 experiments from laboratory‐scale (1L) and pilot‐scale (14L) setups. Tree‐based models, particularly CatBoost, outperformed linear regression by capturing nonlinear parameter interactions (R2$R^2$ up to 0.77 ...
Christoph Baumer +4 more
wiley +1 more source
Regarding on the exact solutions for the nonlinear fractional differential equations
Open Physics, 2016 In this work, we have considered the modified simple equation (MSE) method for obtaining exact solutions of nonlinear fractional-order differential equations.
Kaplan Melike +2 more
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Solving nonlinear boundary value problems by the Galerkin method with sinc functions
Open Physics, 2015 In this paper, the sinc-Galerkin method is used for numerically solving a class of nonlinear differential equations with boundary conditions. The importance of this study is that sinc approximation of the nonlinear term is stated as a new theorem.
Alkan Sertan, Secer Aydin
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