Results 91 to 100 of about 9,081 (293)

Exact solutions of nonlinear time fractional partial differential equations by sub‐equation method [PDF]

, 2015
In this article, the sub-equation method is presented for finding the exact solutions of a nonlinear fractional partial differential equations. For this, the fractional complex transformation method has been used to convert fractional-order partial ...
Bekir, Ahmet, Adem C. Cevikel, Esin Aksoy, Aksoy, Esin, Ahmet Bekir, ÇEVİKEL, Adem Cengiz   +5 more
core   +1 more source

High‐Temperature Nanoindentation of Metals: Assessing Thermal Drift, Frame Compliance, and Chemical Composition Effects on the Reported Mechanical Properties

Advanced Engineering Materials, EarlyView.
Do not let thermal drift and instrument artifacts deceive high‐temperature nanoindentation results. We compare classical Oliver–Pharr and automatic image recognition analyses across steels and a Ni alloy to quantify these effects. Accounting for artifacts reveals systematic softening with temperature, while Cr and Ni additions boost resistance ...
Velislava Yonkova, Steffen Brinckmann, Ruth Schwaiger   +2 more
wiley   +1 more source

High order compact finite difference schemes for a nonlinear Black-Scholes equation [PDF]

A nonlinear Black-Scholes equation which models transaction costs arising in the hedging of portfolios is discretized semi-implicitly using high order compact finite difference schemes. In particular, the compact schemes of Rigal are generalized.
Michel Fournié, Ansgar Jüngel, Bertram Düring   +2 more
core  

Current Status and Challenges in Data Collection for Aerospace Coatings Deposited by Plasma Spraying

Advanced Engineering Materials, EarlyView.
An innovative approach has been integrated into the GRENAT project to optimize plasma spraying and coating performance. Raw materials are accelerated and melted in the plasma generated by torches, creating coatings. Monitoring sensors collect process data which are combined with ex situ characterization data.
Lila Randriamananjara, Vincent Rat, Quentin Dubreuil, Patrice Valorge, Simon Goutier, Alain Denoirjean, Olivier Messe, Céline Ruelle, Jean‐Philippe Poli   +8 more
wiley   +1 more source

Optimization of the Production of Rubber Compounds Using Mathematical Models

Advanced Engineering Materials, EarlyView.
Rubber compounds were mixed in a batch internal mixer, and symbolic regression was used to derive mathematical models linking recipe and process parameters to ram path, torque, and mixing quality (incorporation, dispersion, distribution). Subsequent optimization with evolutionary algorithms identified operating conditions that reduce specific energy ...
Anke Bardehle, Andreas Limper, Ulrich Giese, Carlos Lucke, Mario Beiner, Christoph Gögelein, Lisa Leuchtenberger‐Engel, Christian Hopmann   +7 more
wiley   +1 more source

Application of the homotopy perturbation method to coupled system of partial differential equations with time fractional derivatives [PDF]

, 2008
The homotopy perturbation method (HPM) is applied to solve nonlinear partial differential equations of fractional orders. The corresponding solutions for integer orders of the fractional derivatives are found to be special cases of the fractional ...
Jafari, H., Ganji, D. D., Rostamian, M., Ganji, Z. Z.   +3 more
core  

The dissipative effect of Caputo–time-fractional derivatives and its implications for the solutions of nonlinear wave equations [PDF]

In honor of the great Russian mathematician A. N. Kolmogorov, we would like to draw attention in the present paper to a curious mathematical observation concerning fractional differential equations describing physical systems, whose time evolution for ...
Macías Díaz, Jorge Eduardo, Cuevas-Maraver, Jesús, Bountis, Tassos, Cantisán Gómez, Julia, Kevrekidis, Panayotis G.   +4 more
core   +1 more source

On the solutions of nonlinear stochastic fractional partial differential equations in one spatial dimension [PDF]

, 2005
Existence, uniqueness and regularity of the trajectories of mild solutions of one-dimensional nonlinear stochastic fractional partial differential equations of order α>1α>1 containing derivatives of entire order and perturbed by space–time white noise ...
Dozzi, Marco, Debbi, Latifa
core   +3 more sources

STOCHASTIC STABILITY OF NONLINEAR FLUCTUATIONS IN VISCOELASTIC BODIES

Наука и техника, 2012
The paper considers a wave dynamics of a viscoelastic body (Kelvin – Voight model) which is described by a system of nonlinear differential equations in partial derivatives.
A. V. Chigarev, Yu. V. Chigarev, S. A. Pronkevich   +2 more
doaj  

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