A5050179097- Differential Equations and Numerical Methods
- Fractional Differential Equations Solutions
- Numerical methods for differential equations
- Glass properties and applications
- Laser-induced spectroscopy and plasma
- Differential Equations and Boundary Problems
- Laser-Plasma Interactions and Diagnostics
- Nonlinear Differential Equations Analysis
- Luminescence Properties of Advanced Materials
- Advanced Mathematical Modeling in Engineering
- Advanced Numerical Methods in Computational Mathematics
- Plasma Diagnostics and Applications
- Laser Material Processing Techniques
- Analytical chemistry methods development
- Phase-change materials and chalcogenides
- Solid State Laser Technologies
- Laser-Matter Interactions and Applications
- Laser Design and Applications
- Nuclear Physics and Applications
- Mathematical and Theoretical Epidemiology and Ecology Models
- Chalcogenide Semiconductor Thin Films
- Mineralogy and Gemology Studies
- Plasma Applications and Diagnostics
- Gyrotron and Vacuum Electronics Research
- Ion-surface interactions and analysis
Ural Branch of the Russian Academy of Sciences
2017-2024
N.N. Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of the Russian Academy of Sciences
2016-2024
Ural Federal University
2015-2024
Al-Azhar University
2023
N.D. Zelinsky Institute of Organic Chemistry
2006-2020
Institute of Chemistry of High-Purity Substances them. G.G.Devyatyh
2003-2020
Institute of Mathematics and Mechanics
2020
Benha University
2019
University of Vermont
2019
Hudson Institute
2019
Experiments were performed to study electron acceleration by intense sub-picosecond laser pulses propagating in sub-mm long plasmas of near critical density (NCD). Low foam layers 300–500 μm thickness used as targets. In foams, the NCD-plasma was produced a mechanism super-sonic ionization when well-defined separate ns-pulse sent onto foam-target forerunning relativistic main pulse. The application thick low provided substantial increase path compared case freely expanding created...
Abstract Low-density polymer foams pre-ionized by a well-controlled nanosecond pulse are excellent plasma targets to trigger direct laser acceleration (DLA) of electrons sub-picosecond relativistic pulses. In this work, the influence on DLA process is investigated. The density profile generated after irradiating foam with was simulated two-dimensional hydrodynamic code, which takes into account high aspect ratio interaction and microstructure foams. obtained used as input three-dimensional...
The experience of target fabrication with low-density and cluster heterogeneity is presented. Cluster plasma research strongly dependent on development structure characterization. Ten more parameters should be measured for experiment interpreting in case micro-heterogeneous plasma. Foam foil targets, high-Z doped also, are produced irradiated the existing laser facilities. density 4.5 mg/cc cellulose triacetate form regular three-dimensional polymer networks achieved which as low critical...
Abstract A class of one‐dimensional time‐fractional parabolic differential equations with delay effects functional type in the time component is numerically investigated this work. To that end, a compact difference scheme constructed for numerical solution those based on idea separating current state and prehistory function. In these terms, function approximated by means an appropriate interpolation–extrapolation operator. discrete form fractional Gronwall inequality employed to provide...
Fractional functional differential equations with delay (FDDEs) have recently played a significant role in modeling of many real areas sciences such as physics, engineering, biology, medicine, and economics. FDDEs often cannot be solved analytically so the approximate numerical methods should adapted to solve these types equations. In this paper we consider new method backward differentiation formula- (BDF-) type for solving FDDEs. This approach is based on interval approximation true...
Abstract This paper describes a numerical scheme for class of fractional diffusion equations with fixed time delay. The study focuses on the uniqueness, convergence and stability resulting solution by means discrete energy method. derivation linearized difference order O ( τ 2−α + h 4 ) in L ∞ -norm is main purpose this study. Numerical experiments are carried out to support obtained theoretical results.
AbstractAbstractFabrication methods for low-density fine-structure (cell size < 1 μm) 3-D networks of cellulose triacetate (TAC) are developed. Target densities ranged 4-20 mg/cm3, similar polymer structures were produced both with no load and high-Z cluster dopant concentration up to 30%. Foams varying density down 0.25 plasma critical at the third harmonic iodine laser wavelength supplied shots. Closed-cell network considered monitored as means thermal radiation control in plasma. In...
The specifications on different low-density structures and high-Z admixtures are compared for target designs used to achieve smoother energy flux from drivers. experimentally realized aerogels studied. Various characterization methods taking into account their heterogeneity. physical processes in such materials under the powerful laser irradiation discussed, particular transparency dynamics, plasma homogenization, smoothing capability. further applications of cellulose triacetate (TAC)...
For two sided space fractional diffusion equation with time functional after-effect, an implicit numerical method is constructed and the order of its convergence obtained. The a analogue Crank–Nicholson method, also uses interpolation extrapolation prehistory model respect to time.