Results 71 to 80 of about 479,443 (293)

The Conservative Numerical Scheme for the Hirota Equation

Mathematics
In this paper, we derive a semi-discrete scheme using the central difference method, which perfectly preserves the conservation of mass and energy for the Hirota equation.
Jinqi Zhang, Xianggui Li, Dongying Hua
doaj   +1 more source

Lagrangian multiform structure of discrete and semi-discrete KP systems [PDF]

Open Communications in Nonlinear Mathematical Physics
A variational structure for the potential AKP system is established using the novel formalism of a Lagrangian multiforms. The structure comprises not only the fully discrete equation on the 3D lattice, but also its semi-discrete variants including ...
Frank W Nijhoff
doaj   +1 more source

Numerical simulations of a mixed finite element method for damped plate vibration problems

Mathematical Modelling and Control, 2023
The mixed finite element method can reduce the requirement for the smoothness of the finite element space and simplify the interpolation space for finite elements, and hence is especially effective in solving high order differential equations.
Ruxin Zhang, Zhe Yin, Ailing Zhu
doaj   +1 more source

Functional Materials for Environmental Energy Harvesting in Smart Agriculture via Triboelectric Nanogenerators

Advanced Functional Materials, EarlyView.
This review explores functional and responsive materials for triboelectric nanogenerators (TENGs) in sustainable smart agriculture. It examines how particulate contamination and dirt affect charge transfer and efficiency. Environmental challenges and strategies to enhance durability and responsiveness are outlined, including active functional layers ...
Rafael R. A. Silva, Giulio Fatti, Emanuel Carlos, Guilherme Ferreira, Sumita Goswami, Suman Nandy, Luiz H. C. Mattoso, Elvira Fortunato, Caio G. Otoni, Rodrigo Martins   +9 more
wiley   +1 more source

Parabolic Nonlinear Second Order Slip Reynolds Equation: Approximation and Existence

Nonlinear Analysis, 2007
This work studies an initial boundary value problem for nonlinear degenerate parabolic equation issued from a lubrication slip model. Existence of solutions is established through a semi discrete scheme approximation combined with some a priori estimates.
K. Ait Hadi
doaj   +1 more source

Two-grid algorithm for two-dimensional linear Schrödinger equation by the mixed finite element method

Results in Applied Mathematics, 2023
In this paper, we propose a new two-grid algorithm for solving two-dimensional Schrödinger equation in semi-discrete and fully discrete mixed finite element scheme, respectively.
Jianyun Wang, Zhikun Tian
doaj   +1 more source

Ice Lithography: Recent Progress Opens a New Frontier of Opportunities

Advanced Functional Materials, EarlyView.
This review focuses on recent advancements in ice lithography, including breakthroughs in compatible precursors and substrates, processes and applications, hardware, and digital methods. Moreover, it offers a roadmap to uncover innovation opportunities for ice lithography in fields such as biological, nanoengineering and microsystems, biophysics and ...
Bingdong Chang, Gwendoline A. E. Anand, Rubaiyet Haque, Dylan A. Chiaro, Mona Sharma, Andrew R. Williams, Frank Niklaus, Daryl W. Yee, Gavin M. King, Anpan Han   +9 more
wiley   +1 more source

An energy-preserving exponential scheme with scalar auxiliary variable approach for the nonlinear Dirac equations

Electronic Research Archive
In this work, an energy-preserving scheme is proposed for the nonlinear Dirac equation by combining the exponential time differencing method with the scalar auxiliary variable (SAV) approach.
Hongquan Wang, Yancai Liu, Xiujun Cheng
doaj   +1 more source

A numerical procedure for approximating time fractional nonlinear Burgers–Fisher models and its error analysis

AIP Advances, 2023
Burger and Fisher diffusion transfer properties and reactions from the characteristics are studied using a non-linear equation. The nonlinear fractional Burgers–Fisher equation (NFB-FE) appears in realistic physical situations such as ultra-slow kinetics,
H. Mesgarani, Y. Esmaeelzade Aghdam, M. Vafapisheh   +2 more
doaj   +1 more source

Code Construction and Decoding Algorithms for Semi-Quantitative Group Testing with Nonuniform Thresholds [PDF]

, 2015
We analyze a new group testing scheme, termed semi-quantitative group testing, which may be viewed as a concatenation of an adder channel and a discrete quantizer. Our focus is on non-uniform quantizers with arbitrary thresholds.
Emad, Amin, Milenkovic, Olgica
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