Numerical computing approach for solving Hunter-Saxton equation arising in liquid crystal model through sinc collocation method

In this study, numerical treatment of liquid crystal model described through Hunter-Saxton equation (HSE) has been presented by sinc collocation technique through theta weighted scheme due to its enormous applications including, defects, phase diagrams, self-assembly, rheology, phase transitions, interfaces, and integrated biological applications in mesophase materials and processes. Sinc functions provide the procedure for function approximation over all types of domains containing singularities, semi-infinite or infinite domains. Sinc functions have been used to reduce HSE into an algebraic system of equations that makes the solution quite superficial. These algebraic equations have been interpreted as matrices. This projected that sinc collocation technique is considerably efficacious on computational ground for higher accuracy and convergence of numerical solutions. Stability analysis of the proposed technique has ensured the accuracy and reliability of the method, moreover, as the stability parameter satisfied the condition the proposed solution of the problem converges. The solution of the HSE is presented through graphical figures and tables for different cases that are constructed on various values of θ and collocation points. The accuracy and efficiency of the proposed technique is analyzed on the basis of absolute errors.This research has been partially supported by Ministerio de Ciencia, Innovación y Universidades grant number PGC2018-0971-B-100 and Fundación Séneca -Agencia de Ciencia y Tecnología de la Región de Murcia grant number 20783/PI/18. Also, It has been supported by the National Research Program for Universities (NRPU), Higher Education Commission, Pakistan, No. 8103/Punjab/NRPU/R and D/HEC/2017

Firmware Design for a SEU test system

In this report the firmware design of the new upgraded SEU chip is presented. A single event upset (SEU) is a change of state in memory cells or registers in microelectronic devices caused by ionizing particles. The state change is a result of the free charge created by ionization in a sensitive node of the circuit. The code is written and simulate in verilog using ISE version 14.1. If there will be any change in the state of the memory it will be detected through the code

Maxillofacial prosthesis’s effect on oral hygiene and oral health related quality of life of patients in a population of Pakistan

Background and Aim: Dental malformations caused by surgical excision of oral cancerous tissues cause physical, functional and aesthetic problems. Congenital disorders or acquired factors are regarded as the major causes for maxillofacial defects. The purpose of the current investigation was to determine the effect of maxillofacial prosthesis on oral hygiene and oral health related life quality of life of patients in a population of Pakistan.  Materials and Methods: This prospective study was conducted on 28 maxillofacial defects’ bearing patients investigated in the Department of Dentistry at a Tertiary Care Hospital in Lahore, Pakistan from January 2021 to December 2022. Hearing as well as visually impaired and edentulous patients were excluded from the study. Oral Health Impact Profile (OHIP) was used for the assessment of Oral Health related Quality of Life (OHR QoL). The OHR-QoL was assessed by a self-administered questionnaire. “Functional limitation (9 items)”, “Physical pain (9 items)”, “Psychological discomfort (5 items)”, “Physical disability (9 items)”, “Psychological disability (6 items)”, “Social disability (5 items)”, and “Handicap (6 items)” were 7 subscales of OHR-QoL recorded in each questionnaire and a greater OHR-QoL impairment was an indicative of a higher overall OHIP score.&nbsp

On the dynamical behavior of nonlinear Fitzhugh-Nagumo and Bateman-Burger equations in quantum model using Sinc collocation scheme

The main objective of this study is to numerically investigate the dynamical behavior of nonlinear Fitzhugh-Nagumo and Bateman-Burger systems through the Sinc collocation method by means of the theta-weighted scheme on various grid points of time-dependent evolutionary one spatial dimension in open quantum flow field model. The proposed technique based on the Sinc function is treated as a shape function to transform the governing nonlinear partial differential equation into an algebraic system. To approximate the time and spatial derivatives, finite difference scheme and the theta-weighted scheme have been used simultaneously due to the occurrence of infinite domain and multiple singularities. The effectiveness of the proposed results on the computational ground is illustrated graphically for better understanding and reliable performance of the design scheme is endorsed based on assessments of achieved accuracy in terms of stability analysis and convergence analysis

Pseudorapidity densities of charged particles with transverse momentum thresholds in pp collisions at √ s = 5.02 and 13 TeV

The pseudorapidity density of charged particles with minimum transverse momentum (pT) thresholds of 0.15, 0.5, 1, and 2 GeV/c is measured in pp collisions at the center of mass energies of √s=5.02 and 13 TeV with the ALICE detector. The study is carried out for inelastic collisions with at least one primary charged particle having a pseudorapidity (η) within 0.8pT larger than the corresponding threshold. In addition, measurements without pT-thresholds are performed for inelastic and nonsingle-diffractive events as well as for inelastic events with at least one charged particle having |η|2GeV/c), highlighting the importance of such measurements for tuning event generators. The new measurements agree within uncertainties with results from the ATLAS and CMS experiments obtained at √s=13TeV.