Results 71 to 80 of about 44,082 (308)

Divergence-free algorithms for solving nonlinear differential equations on quantum computers

Physical Review Research
From weather to neural networks, modeling is not only useful for understanding various phenomena but also has a wide range of potential applications. Although nonlinear differential equations are extremely useful tools in modeling, their solutions are ...
Katsuhiro Endo, Kazuaki Z. Takahashi
doaj   +1 more source

Multi-order fractional nonlinear evolution equations system

Partial Differential Equations in Applied Mathematics
In this paper, the existence and uniqueness of a solution to a multi-order fractional nonlinear evolution equations system are studied by applying Banach’s Fixed Point Theorem and some properties of solution operators associated with the system.
Bambang Hendriya Guswanto, Suroto, Najmah Istikaanah   +2 more
doaj   +1 more source

Planar Solid‐State Nanopores Toward Scalable Nanofluidic Integration Based on CMOS Technology

Advanced Engineering Materials, EarlyView.
We present a scalable silicon‐based fabrication strategy for planar solid‐state nanopores to enable their integration with complex nanofluidic systems. Prototype devices demonstrate normal voltage‐current characteristics, good noise performance, and appreciable streaming currents. Our CMOS‐compatible fabrication process offers precise geometric control
Ngan Hoang Pham, Chenyu Wen, Mohammad Hadi Khaksaran, Won‐Yong Lee, Javier Cruz, Klas Hjort, Dongping Wu, Shi‐Li Zhang   +7 more
wiley   +1 more source

Exact Solutions for the Modified KdV and the Generalized KdV Equations via Exp-Function Method

Journal of Mathematical Extension, 2010
An application of the Exp-function method (EFM) to search for exact solutions of nonlinear partial differential equations is analyzed. This method is used for the modified KdV equation and the generalized KdV equation.
J. Manafian Heris, M. Bagheri
doaj  

Flow invariance for perturbed nonlinear evolution equations

Abstract and Applied Analysis, 1996
Let X be a real Banach space, J=[0,a]⊂R, A:D(A)⊂X→2X\ϕ an m-accretive operator and f:J×X→X continuous. In this paper we obtain necessary and sufficient conditions for weak positive invariance (also called viability) of closed sets K⊂X for the evolution ...
Dieter Bothe
doaj   +1 more source

New approach of (G′/G)-expansion method and new approach of generalized (G′/G)-expansion method for nonlinear evolution equation

AIP Advances, 2013
In this article, new (G′/G)-expansion method and new generalized (G′/G)-expansion method is proposed to generate more general and abundant new exact traveling wave solutions of nonlinear evolution equations. The novelty and advantages of these methods is
Hasibun Naher, Farah Aini Abdullah
doaj   +1 more source

On the Lightweight Potential of Laser Additive Manufactured NiTi Triply Periodic Minimal Sheet Lattices

Advanced Engineering Materials, EarlyView.
This study explores the lightweight potential of laser additive‐manufactured NiTi triply periodic minimal surface sheet lattices. It systematically investigates the effects of relative density and unit cell size on surface quality, deformation recovery, compression behavior, and energy absorption.
Haoming Mo, Shuo Qu, Shiming Gao, Xu Song   +3 more
wiley   +1 more source

Square-mean piecewise almost automorphic mild solutions to a class of impulsive stochastic evolution equations

Advances in Difference Equations, 2020
In this paper, we introduce the concept of square-mean piecewise almost automorphic function. By using the theory of semigroups of operators and the contraction mapping principle, the existence of square-mean piecewise almost automorphic mild solutions ...
Junwei Liu, Ruihong Ren, Rui Xie
doaj   +1 more source

A Numerical–Experimental Approach for Multi‐Matrix Fiber‐Reinforced Plastics Characterization Using Finite Element Model Updating

Advanced Engineering Materials, EarlyView.
A numerical–experimental framework is developed for characterizing multi‐matrix fiber‐reinforced polymers (MM‐FRPs) combining epoxy and polyurethane matrices. Harmonic bending tests are integrated with finite element model updating (FEMU) to simultaneously identify elastic and viscoelastic material parameters.
Rodrigo M. Dartora, Tales V. Lisbôa, Axel Spickenheuer, Rogério J. Marczak, Jakson M. Vassoler   +4 more
wiley   +1 more source

Algebraic traveling wave solutions to nonlinear evolution equations

, 2019
In this paper, we employ planar dynamical systems and invariant algebraic curves to characterize all algebraic traveling wave solutions to nonlinear evolution equations. In order to demonstrate the applicability and efficiency of the method, we apply the
Yıldırım, Yakup, Yaşar, Emrullah
core   +1 more source