KEYNOTE SPEAKERS



Prof. Dr. Shamsul Qamar
Department of Mathematics
COMSATS University Islamabad, Pakistan 





Topic of Talk 


Simulation of Compressible and Incompressible Flows 





Abstract 


This talk gives a brief overview of mathematical models simulating compressible twophase flows and incompressible pollutant transport in shallow flows.
In the first part of the talk, we give a brief overview of mathematical models describing compressible twophase flows. In twophase flows two materials of different densities are mixed together. Such flows are encountered in various scientific and engineering fields related to environmental research, chemical engineering processes, nuclear energy and advanced heat transfer systems. The modeling and simulation of such flows are the most challenging tasks in computational fluid dynamics. The highresolution finite volume schemes are applied to solve the model equations. Several cases studies are considered to verify the performance of suggested numerical algorithm.
The second part of the talk provides an insight to the spacetime dynamics of pollutant transport which is mandatory for accurately predicting consequences on the surroundings of coastal regions and rivers and to design appropriate policies for combating pollution and environmental protection. Here, we are focused on the numerical approximation of a twodimensional (2D) model of pollution transport in shallow water. The model contains an advectiondispersion equation for transport of pollutants coupled with the system of shallow water equations that consider varying bottom topography and pollutant source. Approximations of such models are highly difficult for numerical solution methods. A third order wellbalanced 2D finite volume WENO scheme is extended and applied to solve the model equations. The cardinal aspect of this method is that it doesn’t demand an exact Riemann solver for estimating the cell interface fluxes at each time step. Furthermore, the method correctly forecasts the steady state situation without compromising on the high order accuracy. A few test problems are formulated considering a variety of physical situations.








Prof. Dr. Faqir Muhammad Bhatti
Professor of Mathematics and Founding Director
Riphah Institute of Computing and Applied Sciences(RICAS)
Riphah International University, Lahore 





Topic of Talk 


Topic of the Talk: Some Properties of families of Integral Graphs 


Abstract: The spectrum of a graph is set of eigenvalues of the adjacency matrix of the graphs, together with their multiplicities. In 1974, Harary and Schwenk inititate the study of graphs with integral spectra, that is graphs whose eigenvalues are all integral. In this thesis we actually take the integral graphs then apply on different operations between integral graphs to get integral graphs. It means, we actually want to find the integral graphs by using different operations. Then we find line and compliment of the graphs which are also integral. We are finding some new integral graphs through adjacency and as well Laplacian matrix. The behavior of graphs after deleting or adding edges or vertices will also discuss later. In this research, we are discussing the Diophantine equations, some important results and discussions on Diophantine equation arising in graph theory. 










Prof. Dr. Imran Siddique
Department of Mathematics
University of Sargodha, Sargodha 





Topic of Talk 


Coating of a Viscoelastic Material onto a Moving Porous Web during Forward and Reverse Roll Coating Process: A Theoretical Study 


Abstract: In this draft, a mathematical model of forward roll coating of a thin film of a viscoplastic fluid onto a moving porous web is developed when the web passes through a small gap between the two rigid rolls. The conservation equations in the light of LAT (lubrication approximation theory) are non dimensionalized and solutions for the velocity profile, flow rate, pressure distribution are calculated numerically. It is found that by changing (increasing/decreasing) the value of material parameters, one can really control the engineering quantities like velocity distribution, flow rate, pressure distribution, and penetration depth. These results are a quick reference for the engineer working in coating industries and to compare the results with experimental data. Some results are shown graphically. It is found that the material parameter is a device to control flow rate, coating thickness, and pressure distribution. 










Prof. Dr. Zainul Abdin Khuhro
Institute of Mathematics and Computer Science
University of Sindh, Jamshoro, Pakistan. 





Topic of Talk 


Finding solution of Transportation and Scheduling Problems using Graph Coloring and Bipartite Methods 





Abstract 


Graph theory is important branch of mathematics that deals with geometric representation of problems. The representation is done in the form of nodes and edges that may be assigned to cites and roads respectively. In modern world huge data is being produced every day. In order to understand and analyse the behaviour of such data several methods have been developed. Graph techniques handle huge data and makes it meaningful. With such techniques the data will be divided into smaller pieces for better understanding. Though there are many existing methods that solve the data related issues, but a method based on adjacency matrix has great importance in graph theory. Adjacency matrix is representation of a graph into matrix form with certain properties that the entries of the matrix would be one if there is connection among the nodes otherwise zero. By applying adjacency matrix many graph related issues have been solved such as graph colouring, maximum matching, finding bipartite graphs, finding cliques, etc. The graph theory techniques are being be applied to wellknown benchmark DIMACS graphs and other such graphs available at different repositories for further analysis. By applying such techniques, one can, find pattern matchings, schedule different tasks, sort timetabling issues, find minimum distances among different routes, and solve network problems. 










Dr. Najeeb Alam Khan
Associate Professor
Department of Mathematics, University of Karachi, Karachi 


Invited Speaker 





Title 


Repercussions of Unreported Populace on Disease Dynamics and its Optimal Control through System of Fractional Order Delay Differential Equations 





Abstract 


Among many other factors that affect the preventive interventions to any infectious disease, not reporting timely in a hospital is also one of the catastrophic behavior of human beings in any society. Similarly, masses who do not report make it difficult for healthcare researchers to measure the actual data and develop prevention strategies, accordingly. Therefore, there is a critical need to structure a potential epidemic model with the unreported class of individuals. This novel idea is deliberated in this paper to study the profiles of the epidemic model of virulent diseases due to the individuals that report timely and those who don't report in hospitals for any reason. Mathematically, a system of seven equations is taken into consideration, which describes the susceptible individuals, exposed, do not report to the hospital, report to the hospital, quarantined, infected, and recovered. So, with the consideration of new compartments, the conventional SIR epidemic model expands to SEURRPQIR. The innovative design is made more realistic by utilizing proportional fractionalorder differential equations with time delay. A special simplified expansion of this derivative reduces its computational cost and produces the results with fractional index, which helps to predict each fractional change. In addition, an optimal control methodology is also carried out to analyze the effectiveness of the awareness campaign in shifting the unreported individuals to the reported class, with optimal cost function for the unreported cases. Discussions are supported through the very recent deadly pandemic as an example to conclude the practical advantage of the model. The sensitivity analysis of basic reproduction numbers based on effective awareness campaigns is also the part of this study, which infers public awareness campaigns may be devised to motivate and guide such individuals to approach any healthcare center or a hospital. 













Dr. Javed Hussain Brohi
Associate Professor
Department of Mathematics
IBA University, Sukkur, Pakistan 


Invited Speaker 


Topic of Talk 


Existence of Martingale Solution for Stochastic Constrained Heat Equation on Hilbert Manifold 





Abstract 


In this work we will present some results extending the results in [1] about stochastic constrained Heat equation. We aim to show the existence of the pathwiseunique strong martingale solution to the mentioned equation on a Hilbert Manifold. Our argument is bas Skohord's criterion, tightness of measures and FaedoGalerkin approximations. 







Dr. Sumera Dero
Assistant Professor
Institute of Mathematics and Computer Science (IMCS), University of Sindh, Jamshoro 


Invited Spaker 


Topic of Talk 


Thermal enhancement and numerical solution of Au and Agwater based nanofluid flow past on inclined surface 





Abstract 


Heat transfer enhancement has gained much attention in current years, because of its several uses in engineering and industrial zones. In most applications, heat transfer fluids are utilized as cooling fluids, such as water, paraffin oil, diathermic oil, ethylene glycol, naphthenic mineral oil, vegetable oil, etc. However, these common fluids have poor thermal conductivity, which minimizes the amount of heat transfer. Thus, an innovative method of improving heat transfer in fluids by adding nanosized particles in the different base fluids have been introduced.Nanofluids possess a significantly higher thermal conductivity than regular fluids. Therefore, nanofluids are widely used for a wide range of applications, such as nuclear reactor cooling, cooling of vehicles and machinery, electronic device cooling, biomedicine, etc.
Present study deals to thermal enhancement and numerical solution of Au and Agwater based nanofluid flow past on inclined surface utilizing different types of important flow parameters as well as the Nan particles volume fractions. The governing equations in form of the partial differential equations are transferred into ordinary differential equations by using appropriate similarity transformations. The couple system of equations is numerically solved through shooting method in Maple software. The influences of the specified parameters on the temperature, velocity, heat transfer rate and the skin friction coefficient are discussed and presented graphically. Due to existence of the multiple solutions, stability analysis has also been performed. Moreover, to check the accuracy of the code the obtained results are compared with previously obtained results present in literature.

















Dr. Bilal Ahmed Usmani
Assistant Professor and Head
Section of Epidemiology and Biostatistics
Department of Community Health Sciences
Medical College, Pakistan



Invited Speaker 


Topic of Talk 


Data for Impact: An appraisal of Mathematical and Statistical modelling in Public Health 





Abstract 


Public health is an excellent domain to explore, particularly for mathematical modellers. Because of the interconnected nature of the environment, disease and humans, the complexity and profile of public health problems have increased many times. As a result, new and existing modelling methodologies should be implemented to provide scalable contextual solutions for similar settings.
Mathematical and statistical models are amongst the most effective techniques for controlling disease spread and advising policymakers. They are also used to link climatic, environmental, and socioeconomic aspects to human health and the ecosystem.
This session will focus on applying Mathematical and Statistical Modelling Techniques in Public Health, specifically in the context of infectious diseases, the environment, and health. I will be sharing some of the work I did previously at the NED University and Aga Khan University (AKU), as well as some of the work I am now doing with other departments at AKU and universities/organizations across the world.
I hope that this talk will be of interest to individuals in other departments and faculties within the University, as well as encourage and inspire those in the Department of Mathematical Sciences











Dr. Hisham Bin Zubair
Assistant Professor
Chairperson of Mathematical Sciences Department
IBA, Karachi



Invited Speaker 


Topic of Talk 


Numerical Trends and Multigrid Practices for the Indefinite Helmholtz Equation 





Abstract 


The indefinite Helmholtz equation forms the mathematical model of a lot of applications that range from acoustic modeling in engineering avenues to seismic predictions. Standard Multigrid based iterative solvers fail to tackle the problem due to its indefinite spectrum due to which standard smoothing procedures stall / diverge when applied to this equation.
In this talk we skim through the development of a suitably difficulttosolve Helmholtz benchmark problem set, show the solution properties, and discuss viable preconditioning approaches for solving these systems. The talk also discusses incoming numerical reflections, and ways of addressing this artifact in a systematic manner through Exterior Complex Scaled Absorbing Boundary Layers. Finally, we show how to construct the preconditioned solver, and discuss its performance on the benchmark problems.
The talk concludes on a number of takeaway observations, and remarks.








