Results 51 to 60 of about 207 (194)

Numerical Comparison of FNVIM and FNHPM for Solving a Certain Type of Nonlinear Caputo Time-Fractional Partial Differential Equations

Annales Mathematicae Silesianae, 2020
This work presents a numerical comparison between two efficient methods namely the fractional natural variational iteration method (FNVIM) and the fractional natural homotopy perturbation method (FNHPM) to solve a certain type of nonlinear Caputo time ...
Khalouta Ali, Kadem Abdelouahab
doaj   +1 more source

Employment Trajectories of Patients with Systemic lupus erythematosus (SLE) and Factors Driving Transitions Between States

Arthritis Care &Research, Accepted Article.
Objective Systemic lupus erythematosus (SLE) significantly impacts employment capacity. This study aimed to investigate the impact of burden of disease activity, damage, and treatment on employment outcomes and transitions in patients with SLE. Materials and Methods Using data from a single center, we analyzed employment transitions, adjusted mean ...
Javier Mencia‐Ledo, Zahi Touma, Laura Whittall Garcia, Dafna Gladman, Behdin Nowrouzi‐Kia   +4 more
wiley   +1 more source

Application of He’s Variational Iteration Method for solving the Equation Governing the Unsteady Flow of a Polytropic Gas

Journal of Mathematical Extension, 2009
In this paper, He’s variational iteration method (VIM) is used to obtain the exact solution of the Equation Governing the Unsteady Flow of a Polytropic Gas.
M. Matinfar, S. JafarNodeh
doaj  

Characterization of Defect Distribution in an Additively Manufactured AlSi10Mg as a Function of Processing Parameters and Correlations with Extreme Value Statistics

Advanced Engineering Materials, EarlyView.
Predicting extreme defects in additive manufacturing remains a key challenge limiting its structural reliability. This study proposes a statistical framework that integrates Extreme Value Theory with advanced process indicators to explore defect–process relationships and improve the estimation of critical defect sizes. The approach provides a basis for
Muhammad Muteeb Butt, Varma Kvvssn, Hossein Laieghi, Zia Uddin, Peyman Ansari, E. Kıvanç Sadak, Can Barış Toprak, Hüseyin Kızıl, Enrico Salvati   +8 more
wiley   +1 more source

Symbolic Regression and Multi‐Objective Optimization of the Flory–Huggins Interaction Parameter for Hydrogels

Advanced Engineering Materials, EarlyView.
We develop a data‐driven method to derive the mathematical expressions of the Flory–Huggins interaction parameter χ for the swelling behavior of temperature–responsive hydrogels. Starting from initial assumptions of χ, our workflow combines Bayesian optimization, Flory–Rehner theory, and symbolic regression to generate candidate χ expressions.
Yawen Wang, Adrian Ehrenhofer, Thomas Wallmersperger   +2 more
wiley   +1 more source

Workflow for Design of Experiments‐Based Modeling of Species Transport and Growth Kinetics in GaN Hydride Vapor Phase Epitaxy

Advanced Engineering Materials, EarlyView.
A novel workflow for investigating hydride vapor phase epitaxy for GaN bulk crystal growth is proposed. It combines Design of experiments (DoE) with physical simulations of mass transport and crystal growth kinetics, serving as an intermediate step between DoE and experiments.
J. Tomkovič, G. Lukin, H. Torkashvand, A. Kerschbaum, M. Müller, S. Besendörfer, J. Heitmann, J. Friedrich   +7 more
wiley   +1 more source

Analytical solutions of convection–diffusion problems by combining Laplace transform method and homotopy perturbation method

Alexandria Engineering Journal, 2015
The aim of this paper was to present a user friendly numerical algorithm based on homotopy perturbation transform method for solving various linear and nonlinear convection-diffusion problems arising in physical phenomena where particles, energy, or ...
Sumit Gupta, Devendra Kumar, Jagdev Singh   +2 more
doaj   +1 more source

A Practical Noise2Noise Denoising Pipeline for High‐Throughput Raman Spectroscopy

Advanced Engineering Materials, EarlyView.
A lightweight and reproducible denoising pipeline for high‐throughput Raman spectroscopy is introduced, based on a 1D convolutional autoencoder trained with a Noise2Noise strategy. Using only repeated short‐exposure acquisitions, the method suppresses stochastic noise without reference spectra, enabling reliable spectral reconstruction while preserving
David Martin‐Calle, Cesar Alvarez‐Llamas, Vincent Motto‐Ros, Christophe Dujardin, Jérémie Margueritat, David Rodney   +5 more
wiley   +1 more source

Solitary and periodic pattern solutions for time-fractional generalized nonlinear Schrödinger equation

Nonlinear Engineering
In this study, the fractional variational iteration method using He’s polynomials is employed for constructing semi-analytical solutions of the fractional-in-time generalized nonlinear Schrödinger equation involving Jumarie’s modified Riemann–Liouville ...
Zhao Meimei
doaj   +1 more source

Homotopy Perturbation Transform Method with He’s Polynomial for Solution of Coupled Nonlinear Partial Differential Equations

Nonlinear Engineering, 2016
In this paper, a combined form of the Laplace transform method with the homotopy perturbation method (HPTM) is applied to solve nonlinear systems of partial differential equations viz.
Sharma Dinkar, Singh Prince, Chauhan Shubha   +2 more
doaj   +1 more source