检索结果-南通市图书馆

Numerical Computation for Time-fractional Gas Dynamics Equations by Fractional Reduced Differential Transforms Method

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Journal of Mathematics and System Science 2016年第6期6卷 248-259页

作者： brajesh kumar singh Pramod kumar Department of Applied Mathematics School for Physical Sciences Babasaheb Bhimrao Ambedkar University Lucknow - 226025 India.

The present article is concerned with the implementation of a recent semi-analytical method referred to as fractional reduced differential transform method （FRDTM） for computation of approximate solution of time-fractional gas dynamics equation （TFGDE） arising in shock fronts. In this approach, the fractional derivative is described in the Caputo sense. Four numeric experiments have been carried out to confirm the validity and the efficiency of the method. It is found that the exact or a closed approximate analytical solution of a fractional nonlinear differential equations arising in allied science and engineering can be obtained easily. Moreover, due to its small size of calculation contrary to the other analytical approaches while dealing with a complex and tedious physical problems arising in various branches of natural sciences and engineering, it is very easy to implement.

关键词： Gas Dynamics equation Caputo time-fractional derivatives Mittag-Leffler function reduced differential transformmethod Analytic solution

A Novel Approach for Numerical Computation of Fokker-Planck Equation

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Journal of Mathematics and System Science 2016年第7期6卷 291-299页

作者： Pramod kumar brajesh kumar singh Shobh Nath Rai Department of Applied Mathematics School for Physical Sciences Babasaheb Bhimrao Ambedkar University Lucknow -226025 INDIA.

This paper present an implementation of＂modified cubic B-spline differential quadrature method （MCB-DQM）＂ proposed by Arora ＆ singh （Applied Mathematics and Computation Vol. 224（1）（2013） 161-177） for numerical computation of Fokker-Planck equations. The modified cubic B-splines are used as set of basis functions in the differential quadrature to compute the weighting coefficients for the spatial derivatives, which reduces Fokker-Planck equation into system of first-order ordinary differential equations （ODEs）, in time. The well known SSP-RK43 scheme is then applied to solve the resulting system of ODEs. The efficiency of proposed method has been confirmed by three examples having their exact solutions. This shows that MCB-DQM results are capable of achieving high accuracy. Advantage of the scheme is that it can be applied very smoothly to solve the linear or nonlinear physical problems, and a very less storage space is required which causes less accumulation of numerical errors.

关键词： Fokker-Planck equation modified cubic B-spline MCB-DQM SSP-RK43 Thomas algorithm

FDTD technique based crosstalk analysis of bundled SWCNT interconnects

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Journal of Semiconductors 2015年第5期36卷 90-98页

作者： Yograj singh Duksh brajesh kumar Kaushik Rajendra P.Agarwal Department of Electronics and Instrumentation Engineering Mahatma Jyotiba Phule Rohilkhand University Department of Electronics and Communication Engineering Indian Institute of Technology Shobhit University

The equivalent electrical circuit model of a bundled single-walled carbon nanotube based distributed RLC interconnects is employed for the crosstalk analysis. The accurate time domain analysis and crosstalk effect in the VLSI interconnect has emerged as an essential design criteria. This paper presents a brief description of the numerical method based finite difference time domain （FDTD） technique that is intended for estimation of voltages and currents on coupled transmission lines. For the FDTD implementation, the stability of the proposed model is strictly restricted by the Courant condition. This method is used for the estimation of crosstalk induced propagation delay and peak voltage in lossy RLC interconnects. Both functional and dynamic crosstalk effects are analyzed in the coupled transmission line. The effect of line resistance on crosstalk induced delay, and peak voltage under dynamic and functional crosstalk is also evaluated. The FDTD analysis and the SPICE simulations are carried out at 32 nm technology node for the global interconnects. It is observed that the analytical results obtained using the FDTD technique are in good agreement with the SPICE simulation results. The crosstalk induced delay, propagation delay, and peak voltage obtained using the FDTD technique shows average errors of 4.9%, 3.4% and 0.46%, respectively, in comparison to SPICE.

关键词： FDTD SWCNT bundle interconnects crosstalk delay peak voltage coupled transmission lines

Fractionally delineate the neuroprotective function of calbindin-Z?28fc in Parkinson's disease

维普期刊数据库

同方期刊数据库评论

在线全文

学校读者我要写书评

暂无评论

International Journal of Biomathematics 2018年第8期11卷 151-169页

作者： Hardik Joshi brajesh kumar Jha Department of Mathematics School of Technology Pandit Deendayal Petroleum University Gandhinagar Gujarat 382007. India

Neuron is a fundamental unit of the brain, which is specialized to transmit information throughout the body through electrical and chemical signals. Calcium (Ca2^+) ions are known as second messengers which play important roles in the movement of the neurotransmitter. Calbindin-D28k is a Ca2^+ binding protein which is involved in regulation of intracellular Ca2^+ ions and main tains homeos tasis level, it also alters the cytosolic calcium concentration ([Ca2^+]) in nerve cells to keep the cell alive. Parkinson's disease (PD) is a chronic progressive neurodegenerative brain disorder of the nervous system. Several regions of the brain indicate the hallmark of the PD. The symptoms of PD are plainly linked with the degeneration and death of dopamine neurons in the substantia nigra pars compacta located in midbrain which is accompanied by depletion in calbindin-Z?28fc - In the present paper, the neuroprotective role of calbindin-￡>28fc in the cytoplasmic [Ca2^+] distribution is studied. The elicitation in [Ca2^+] is due to the presence of low amount of calbindin-D28k which can be portrayed and is a hallmark of PD. A one-dimensional space time fractional reaction diffusion equation is designed by keeping in mind the physiological condition taking place inside Parkinson's brain. Computational results are performed in MATLAB.

关键词： Calbindin-D28k Parkinson's disease calcium concentration fractionalCaputo derivative fractional approach

Propagation delay and power dissipation for different aspect ratio of single-walled carbon nanotube bundled TSV

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Journal of Semiconductors 2015年第6期36卷 99-104页

作者： Tanu Goyal Manoj kumar Majumder brajesh kumar Kaushik Department of ECE IEC College of Engineering and Technology Department of E&CE Indian Institute of Technology Roorkee

Through-silicon vias （TSVs） have provided an attractive solution for three-dimensional （3D） integrated devices and circuit technologies with reduced parasitic losses and power dissipation, higher input-output （I/O） den- sity and improved system performance. This paper investigates the propagation delay and average power dissipation of single-walled carbon nanotube bundled TSVs having different via radius and height. Depending on the physical configuration, a comprehensive and accurate analytical model of CNT bundled TSV is employed to represent the via （vertical interconnect access） line of a driver-TSV-load （DTL） system. The via radius and height are used to estimate the bundle aspect ratio （AR） and the cross-sectional area. For a fixed via height, the delay and the power dissipation are reduced up to 96.2% using a SWCNT bundled TSV with AR = 300 ： 1 in comparison to AR = 6：1.

关键词： carbon nanotube through-silicon vias equivalent RLC circuit model propagation delay power-delay product area-delay product

Capuli cherry-mediated green synthesis of silver nanoparticles under white solar and blue LED light

维普期刊数据库

同方期刊数据库评论

在线全文

学校读者我要写书评

暂无评论

Particuology 2016年第1期14卷 123-128页

作者： brajesh kumar Yolancla Angulo kumari Smita Luis Cumbal Alexis Debut Centro de Nanociencia y Nanotecnologia Universidad de las Fuerzas Armadas-ESPE Av. Gral. Rumifiahui s/n Sangolqui P.O. BOX 171-5-231B Ecuador

In this article, the Capuli （Prunus serotina Ehrh. var. Capuli） cherry extract was used for the synthesis of silver nanoparticles （AgNPs） in the presence of white/visible solar and blue light-emitting diode （LED） light. For the characterization of the extract and the AgNPs, Fourier transform infrared spectroscopy and ultraviolet-visible spectroscopy were employed, along with hydrodynamic particle size analysis, trans- mission electron microscopy and X-ray diffraction. The Ag nanospheres obtained using white light were 40-100 nm in diameter and exhibited an absorption peak at λmax= 445 nm, whereas those obtained using blue LED light were 20-80 nm in diameter with an absorption peak at λmax= 425 nm. Thermal analysis revealed that the content of biomolecules surrounding the AgNPs was about 55-65%, and it was also found that blue LED light AgNPs （56.28%, 0.05 mM） had a higher antioxidant efficacy than the white solar light AgNPs （33.42%, 0.05 mM） against l,l-diphenyl-2-picrylhydrazyl. The results indicate that obtaining AgNPs using a blue LED light may prove to be a simple, cost-effective and easily reproducible method for creating future nanopharmaceuticals.

关键词： Silver nanoparticles Capuli LED light Fourier transform infrared spectroscopy Transmission electron microscopy Antioxidant

Biochar-mediated removal of pharmaceutical compounds from aqueous matrices via adsorption

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Waste Disposal and Sustainable Energy 2023年第1期5卷 37-62页

作者： Sahil Chauhan Tajamul Shafi brajesh kumar Dubey Shamik Chowdhury School of Environmental Science and Engineering Indian Institute of Technology KharagpurKharagpurWest Bengal721302India Department of Civil Engineering Indian Institute of Technology KharagpurKharagpurWest Bengal721302India

Pharmaceutical is one of the noteworthy classes of emerging contaminants. These biologically active compounds pose a range of deleterious impacts on human health and the environment. This is attributed to their refractory behavior, poor biodegradability, and pseudopersistent nature. Their large-scale production by pharmaceutical industries and subsequent widespread utilization in hospitals, community health centers, and veterinary facilities, among others, have significantly increased the occurrence of pharmaceutical residues in various environmental compartments. Several technologies are currently being evaluated to eliminate pharmaceutical compounds (PCs) from aqueous environments. Among them, adsorption appears as the most viable treatment option because of its operational simplicity and low cost. Intensive research and development efforts are, therefore, currently underway to develop inexpensive adsorbents for the effective abatement of PCs. Although numerous adsorbents have been investigated for the removal of PCs in recent years, biochar-based adsorbents have garnered tremendous scientific attention to eliminate PCs from aqueous matrices because of their decent specific surface area, tunable surface chemistry, scalable production, and environmentally benign nature. This review, therefore, attempts to provide an overview of the latest progress in the application of biochar for the removal of PCs from wastewater. Additionally, the fundamental knowledge gaps in the domain knowledge are identified and novel strategic research guidelines are laid out to make further advances in this promising approach towards sustainable development.

关键词： Pharmaceuticals Adsorption Adsorbents Biochar Wastewater treatment

Analytically depicting the calcium diffusion for Alzheimer's affected cell

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

International Journal of Biomathematics 2018年第7期11卷 109-121页

作者： Devanshi D.Dave brajesh kumar Jha Department of Mathematics School of Technology Pandit Deendayal Petroleum UniversityRaisan GandhinagarGujarat 382007India

Brain is the most complex structure of the human *** processes going inside the brain and the mechanisms behind it have been unrevealed up to certain extent *** of the various physiological phenomena carried out by the brain,calcium signalling can be considered as one of the most *** being a second messenger plays an important role in transformation of various *** view of above,an attempt has been made here to study calcium signalling in presence of buffers,*** kind of proteins and endoplasmic reticulum (ER),which is also known as store house of the *** the store house of the cell,it has very high amount of calcium,whereas buffers decrease the level of free calcium ions by binding calcium ions to it.A two-dimensional mathematical model has been developed to see the impact of these parameters on cytosolic calcium *** mathematical model is solved analytically using Laplace transforms and similarity *** simulations are carried out using *** is observed that the impact of buffer and ER is significant on calcium *** obtained results are interpreted with the Alzheimeric condition of the nerve cells.

关键词： Calcium buffers endoplasmic reticulum Alzheimer's disease Laplace transforms

FDTD based transition time dependent crosstalk analysis for coupled RLC interconnects

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Journal of Semiconductors 2014年第5期35卷 69-73页

作者： Devendra kumar Sharma brajesh kumar Kaushik R.K.Sharma Department of ECE Meerut Institute of Engineering and TechnologyMeerut India Department of Electronics & Computer Engineering Indian Institute of TechnologyRoorkee India Department of ECE National Institute of TechnologyKurukshetra Haryana India

The performance of high density chips operating in the GHz range is mostly affected by on-chip interconnects. The interconnect delay depends on many factors, a few of them are inputs toggling patterns, line ＆ coupling parasitics, input rise/fall time and source/load characteristics. The transition time of the input is of prime importance in high speed circuits. This paper addresses the FDTD based analysis of transition time effects on functional and dynamic crosstalk. The analysis is carried out for equal and unequal transition times of coupled inputs. The analysis of the effects of unequal rise time is equally important because practically, it is quite common to have mismatching in the rise time of the signals transmitting through different length wires. To demonstrate the effects, two distributed RLC lines coupled inductively and capacitively are taken into consideration. The FDTD technique is used because it gives accurate results and carries time domain analysis of coupled lines. The number of lumps in SPICE simulations is considered the same as those of spatial segments. To validate the FDTD computed results, SPICE simulations are run and results are compared. A good agreement of the computed results has been observed with respect to SPICE simulated results. An average error of less than 3.2% is observed in the computation of the performance parameters using the proposed method.

关键词： FDTD transition time crosstalk noise delay coupled interconnects