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Multilayer perceptron and Chebyshev polynomials-based functional link artificial neural network for solving differential equations

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International Journal of Modeling, Simulation, and Scientific Computing 2021年第2期12卷 104-119页

作者： Shagun Panghal manoj kumar Department of Mathematics Motilal Nehru National Institute of Technology Allahabad 211004 India

This paper discusses the issues of computational efforts and the accuracy of solutions of differential equations using multilayer perceptron and Chebyshev polynomials-based functional link artificial neural *** ordinary and partial differential equations have been solved by both these techniques and pros and cons of both these type of feedforward networks have been discussed in *** from that,various factors that affect the accuracy of the solution have also been analyzed.

关键词： Multilayer perceptron optimization functional link neural network trial solution Chebyshev polynomials

Positive solutions and stability of fuzzy Atangana–Baleanu variable fractional differential equation model for a novel coronavirus (COVID-19)

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International Journal of Modeling, Simulation, and Scientific Computing 2021年第6期12卷 205-229页

作者： Pratibha Verma manoj kumar Department of Mathematics Motilal Nehru National Institute of Technology Allahabad Prayagraj 211004 Uttar PradeshIndia

This work provides a new fuzzy variable fractional COVID-19 model and uses a variablefractional operator, namely, the fuzzy variable Atangana–Baleanu fractional derivativesin the Caputo sense. Next, we explore the proposed fuzzy variable fractional COVID-19 model using the fixed point theory approach and determine the solution’s existenceand uniqueness conditions. We choose an appropriate mapping and with the help ofthe upper/lower solutions method. We prove the existence of a positive solution for theproposed fuzzy variable fractional COVID-19 model and also obtain the result on theexistence of a unique positive solution. Moreover, we discuss the generalized Hyers–Ulam stability and generalized Hyers–Ulam–Rassias stability. Further, we investigate theresults on maximum and minimum solutions for the fuzzy variable fractional COVID-19model.

关键词： Novel coronavirus(COVID-19) variable Atangana–Baleanu fractional derivative Mittag–Leffler kernel existence and uniqueness fixed point theorems Hyers–Ulam stability

Tribology of WC reinforced SiC ceramics: Influence of counterbody

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Friction 2019年第2期7卷 129-142页

作者： Sandan kumar SHARMA B.Venkata manoj kumar Young-Wook KIM Department of Metallurgical and Materials Engineering Indian Institute of Technology (IIT) Roorkee TriboCeramics Laboratory Department of Materials Science and Engineeringthe University of Seoul

Hot pressed silicon carbide(SiC) composites prepared with 0, 10, 30 or 50 wt% tungsten carbide(WC) are subjected to dry sliding wear against WC-Co and steel ball. In particular an attempt has been made to answer the following important questions:(i) How does the load(from 5 to 20 N) effect sliding wear behaviour of SiC-ceramics against WC-Co and steel counterbodies?(ii) Is there any effect of WC content on friction and wear characteristics of SiC ceramics?(iii) Does the dominant material removal mechanism of SiC ceramics change with the addition of WC or counterbody?(iv) What is the influence of mechanical properties on the sliding wear? Experimental results indicated that coefficient of friction(COF) for the SiC ceramics varied between 0.66 and 0.33 with change in load and counterbodies. Wear volume for SiC ceramics found approximately 6-10 times more against WC-Co as compared against steel. Wear volume changes from 2.0 × 10^(–3)mm^3 to 1.2 × 10^(–2)mm^3 with change in counterbodies for SiC -(10, 30 or 50 wt%) WC composite at 20 N. SiC ceramics indicated abrasion and composites reveal tribochemical wear as major material removal mechanisms. Wear is influenced by the hardness of counterbody and fracture toughness of SiC -WC composites.

关键词： silicon carbide tungsten carbide composites steel sliding wear counterbody

Analysis of silicon-based integrated photovoltaic–electrochemical hydrogen generation system under varying temperature and illumination

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Journal of Energy Chemistry 2017年第1期26卷 72-80页

作者： Vishwa Bhatt Brijesh Tripathi Pankaj Yadav manoj kumar Department of Solar Energy School of TechnologyPandit Deendayal Petroleum UniversityGandhinagar 382007India Department of Science School of TechnologyPandit Deendayal Petroleum UniversityGandhinagar 382007India Department of Electrical Engineering Incheon National UniversityIncheon 406772Republic of Korea

Last decade witnessed tremendous research and development in the area of photo-electrolytic hydrogen generation using chemically stable nanostructured photo-cathode/anode materials. Due to intimately coupled charge separation and photo-catalytic processes, it is very difficult to optimize individual components of such system leading to a very low demonstrated solar-to-fuel efficiency (SFE) of less than 1%. Recently there has been growing interest in an integrated photovoltaic–electrochemical (PV–EC) system based on GaAs solar cells with the demonstrated SFE of 24.5% under concentrated illumination condition. But a high cost of GaAs based solar cells and recent price drop of poly-crystalline silicon (pc-Si) solar cells motivated researchers to explore silicon based integrated PV–EC system. In this paper a theoretical framework is introduced to model silicon-based integrated PV–EC device. The theoretical framework is used to analyze the coupling and kinetic losses of a silicon solar cell based integrated PV–EC water splitting system under varying temperature and illumination. The kinetic loss occurs in the range of 19.1%–27.9% and coupling loss takes place in the range of 5.45%–6.74% with respect to varying illumination in the range of 20–100 mW/cm2. Similarly, the effect of varying temperature has severe impact on the performance of the system, wherein the coupling loss occurs in the range of 0.84%–21.51% for the temperature variation from 25 to 50 °C. © 2016 Science Press

关键词： Electrochemical cells Electrochemical impedance spectroscopy Gallium arsenide Hydrogen production Nanostructured materials Polysilicon Semiconducting gallium Silicon Silicon solar cells Solar power generation

Digitally controlled oscillator design with a variable capacitance XOR gate

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Journal of Semiconductors 2011年第10期32卷 86-92页

作者： manoj kumar Sandeep K.Arya Sujata Pandey Department of Electronics and Communication Engineering Guru Jambheshwar University of Science and TechnologyHisarIndia Amity University NoidaIndia

A digitally controlled oscillator（DCO） using a three-transistor XOR gate as the variable load has been presented.A delay cell using an inverter and a three-transistor XOR gate as the variable capacitance is also proposed. Three-,five- and seven-stage DCO circuits have been designed using the proposed delay *** output frequency is controlled digitally with bits applied to the delay *** three-bit DCO shows output frequency and power consumption variation in the range of 3.2486-4.0267 GHz and 0.6121-0.3901 mW,respectively,with a change in the control word *** five-bit DCO achieves frequency and power of 1.8553-2.3506 GHz and 1.0202-0.6501 mW,respectively,with a change in the control word ***,the seven-bit DCO shows a frequency and power consumption variation of 1.3239-1.6817 GHz and 1.4282-0.9102 mW,respectively, with a varying control word *** power consumption and output frequency of the proposed circuits have been compared with earlier reported circuits and the present approaches show significant improvements.

关键词： digital control oscillator delay cell power consumption variable capacitance voltage controlled oscillators XOR gate

Cu（OTf）2 Catalyzed Synthesis of Bis（5-methyl-2-furyl）methanes by Condensation of 2-Methylfuran with Carbonyl Compounds under Solvent Free Conditions

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Chinese Journal of Chemistry 2011年第7期29卷 1483-1488页

作者： Muthyala, manoj kumar Rao, V. Kameswara kumar, Anil Department of Chemistry Birla Institute of Technology and Science Pilani 333 031 India

A facile and efficient one-pot three-component synthesis of bis（5-methyl-2-furyl）methanes has been achieved via the reaction of 2-methylfuran with a series of aliphatic and aromatic aldehydes and aliphatic ketones in presence of copper（II） triflate under solvent free conditions. The bis（5-methyl-2-furyl）methanes were obtained in 34%--72% yields and the catalyst was recycled up to four successive cycles without much loss in catalytic activity.

关键词： Lewis acid copper(II) triflate 2-methylfuran bis(5-methyl-2-furyl)methane multicomponent condensation solvent free condition

Tribological characteristics of friction stir processed graphite and tin/LM24 surface composites

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Friction 2021年第3期9卷 569-582页

作者： Vipin SHARMA Ujjwal PRAKASH B.Venkata manoj kumar Department of Metallurgical and Materials Engineering Indian Institute of Technology RoorkeeRoorkee 247667India

Friction stir processing(FSP)is an emerging solid-state technique for preparing surface composites using various *** and metallic particles are easily reinforced in a matrix by this *** composites made from an LM24 alloy reinforced with graphite and tin,with good wettability and material flow owing to the low melting point of tin,were fabricated by FSP at two rotational speeds of 1,400 and 1,000 *** its low hardness,the graphite/LM24 surface composite fabricated at a higher rotational speed of 1,400 rpm exhibited better wear ***,its frictional behavior was not significantly affected by the *** fabricated surface composites with graphite and tin reinforcement as well as graphite-only reinforcement exhibited contradicting behaviors under sliding wear *** post wear analysis indicated that abrasion,adhesion,layer formation,and delamination occurred on the composite surfaces.

关键词： composites friction stir processing graphite tin Al-Si alloy wear

Analysis of Epimetamorphic Rock Slopes Using Soft Computing

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Journal of Shanghai Jiaotong university(Science) 2014年第3期19卷 274-278页

作者： kumar manoj SAMUI Pijush Scientist-I National Institute of Rock Mechanics Kolar Gold Fields 563 117Karnataka India Centre for Disaster Mitigation and Management Vellore Institute of Technology

This article adopts three soft computing techniques including support vector machine(SVM), least square support vector machine(LSSVM) and relevance vector machine(RVM) for prediction of status of epimetemorphic rock slope. The input variables of SVM, LSSVM and RVM are bulk density, height, inclination, cohesion and internal friction angle. There are 53 datasets which have been used to develop the SVM, LSSVM and RVM models. The developed SVM, LSSVM and RVM give equations for prediction of status of epimetemorphic rock slope. The performance of SVM, LSSVM and RVM is 100%. A comparative study has been presented between the developed SVM, LSSVM and RVM. The results confirm that the developed SVM, LSSVM and RVM are effective tools for prediction of status of epimetemorphic rock slope.

关键词： epimetemorphic rock slope probability support vector machine(SVM) least square support vector machine(LSSVM) relevance vector machine(RVM)

Numerical solution of micropolar fluid flow via stretchable surface with chemical reaction and melting heat transfer using Keller-Box method

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Propulsion and Power Research 2021年第2期10卷 194-207页

作者： Khilap Singh Alok kumar Pandey manoj kumar Department of Mathematics Statistics and Computer ScienceG.B.Pant University of Agriculture and TechnologyPantnagarUttarakhand263145India Department of Mathematics Graphic Era Deemed to be UniversityDehradunUttarakhand248002India

The main theme of this research is to find the numerical results of stagnation point flow of micropolar fluid over a porous stretchable surface due to the physical effects of internal heat generation/absorption,melting heat transfer and chemical reaction via Keller-Box method(KBM).The graphs and tables are depicted and explained for various embedded *** range of melting heat transfer parameter is 0≤M≤3,the range of chemical reaction parameter is 0≤K_(r)≤1 whereas the values of space-temperature dependent heat source/sink parameters lies in-0:4≤Q≤0:4 and-2≤Q*≤*** upshots of the current problem illustrate that at fluid-solid interface,rate of HMT(heat and mass transfer)declined on escalating the values of stretching ***,as the values of internal heat source/sink parameter increases,heat transfer rate declines at fluid-solid interface.

关键词： Chemical reaction Implicit finite difference Keller-Box method(KBM) Internal heat generation/absorption Heat and mass transfer(HMT) Melting heat transfer Porous medium