Results 91 to 100 of about 9,068 (293)

Derivation of a macroscale formulation for a class of nonlinear partial differential equations.

, 1995
A macroscale formulation is constructed from a system of partial differential equations which govern the microscale dependent variables. The construction is based upon the requirement that the solutions of the macroscale partial differential equations ...
Pantelis, G
core  

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

Solution of Fractional Partial Differential Equations in Fluid Mechanics by Extension of Some Iterative Method

Abstract and Applied Analysis, 2013
An extension of the so-called new iterative method (NIM) has been used to handle linear and nonlinear fractional partial differential equations. The main property of the method lies in its flexibility and ability to solve nonlinear equations accurately ...
A. A. Hemeda
doaj   +1 more source

Soft Mechanical‐Electrical Logic Using Liquid Metal‐Filled 3D‐Printed Architectures

Advanced Engineering Materials, EarlyView.
We present 3D‐printed soft mechanical–electrical logic elements that use liquid metal–filled silicone tubes actuated by thermoplastic polyurethane/polylactic acid (TPU/PLA) architectures to produce Boolean operations. Complementary normally open and normally closed unit cells perform repeatable binary transitions and can be combined into more complex ...
Christoph Lehmann, Ryan Kalgreen, Laura M. Comella   +2 more
wiley   +1 more source

Note on the Convergence Analysis of Homotopy Perturbation Method for Fractional Partial Differential Equations

Abstract and Applied Analysis, 2014
We apply the homotopy perturbation method to obtain the solution of partial differential equations of fractional order. This method is powerful tool to find exact and approximate solution of many linear and nonlinear partial differential equations of ...
Asma Ali Elbeleze, Adem Kılıçman, Bachok M. Taib   +2 more
doaj   +1 more source

Molecular Dynamics Studies of Shape Memory Polymers: From Bead–Spring Models to Atomistic Simulations

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
wiley   +1 more source

Unsteady Magnetohydrodynamics PDE of Monge–Ampère Type: Symmetries, Closed-Form Solutions, and Reductions

Mathematics
The paper studies an unsteady equation with quadratic nonlinearity in second derivatives, that occurs in electron magnetohydrodynamics. In mathematics, such PDEs are referred to as parabolic Monge–Ampère equations.
Andrei D. Polyanin, Alexander V. Aksenov
doaj   +1 more source

Dispersive long wave of nonlinear fractional Wu-Zhang system via a modified auxiliary equation method

AIP Advances, 2019
In this paper, we examine a modified auxiliary equation method. We applied this novel method on Wu-Zhang system. This model used to describe (1 + 1)-dimensional dispersive long wave in two horizontal directions on shallow waters. This model is one of the
Mostafa M. A. Khater, Dianchen Lu, Raghda A. M. Attia   +2 more
doaj   +1 more source

Algorithms for nonlinear fractional partial differential equations: A selection of numerical methods

, 2008
Fractional order partial differential equations, as generalization of classical integer order partial differential equations, are increasingly used to model problems in fluid flow, finance and other areas of applications.
Odibat, Zaid, Hashim, Ishak, Momani, Shaher   +2 more
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Advances in Difference Equations

The aim of this reprint is to highlight the significance of difference equations and their applications in applied mathematics. Difference equations provide a robust and widely recognized framework for modeling complex dynamical systems. In recent years,

core   +1 more source