M.Phil / MS
Permanent URI for this collectionhttps://repository.cuilahore.edu.pk/handle/123456789/52
This collection archives the complete set of theses produced by students of the COMSATS University Islamabad, Lahore Campus.
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Item Total Labellings of Some Connected Graphs(Library Information Services, COMSATS University, Lahore Campus, 2019) SP17-RMT-014; Mujahid Shehzad,; Dr. Kashif Ali, Assistant Profesor; LHR TP 5428Ashraf et al. in [3] introduced the concept of vertex H irregular labelling and edge H irregular labelling. Let H be sub graph of given graph G. If each edge of graph G is contained in any subgraph Hi where i ={ 1,2,3,…, k } of G and if each Hi is isomorphic to given subgraph H. then the collection Hi of subgraphs of G is said to be H-covering of G. They also introduced the concept of edge H irregular strength ehs(G) that is the minimum k for which the graph has total H irregular k labelling and vertex H irregular strength vhs(G) that is the minimum k for which the graph has total H irregular k labelling The thesis is devoted to study the total vertex C3 irregular strength wheel graph and triangular ladder graph taking subgraph C3. We also found the total vertex C4 irregular strength ladder graph and grid graph. Furthermore, we find the total vertex C8 irregular strength of a connected graph Qn.Item Analysis of Integral Equations of Ahlfors Map for Multiply Connected Regions(Library Information Services, COMSATS University, Lahore Campus, 2018) Razi Ahmad,; FA16-RMT-025; Dr. Kashif Nazar, Assistant Profesor [; LHR TP 5433This research is to analyze the boundary integral equation of Ahlfors map of multiply connected region also the derivation of a new boundary integral equation related to Ahlfors map. These integral equations are then parameterized and discretized into the system of equations by using the Nystrom method with trapezoidal rule.Item Some Integral Inequalities via Riemann Livouille Fractional Integrals(Library Information Services, COMSATS University, Lahore Campus, 2018) Muhammad Shuja,; FA16-RMT-001; Dr. Shahid Qaiser, Assistant Profesor; LHR TP 5176Mathematical inequalities contribute highly to error estimation. In the past few decades, many authors have done their studies about the error analysis of some quadrature rules of Newton-Cotes type. Moreover, Convexity is highly recognized for its vital and primary task in the expansion of numerous section of mathematics, for example, mathematical finance, economics, management sciences and optimization theory. Hence, in this dissertation we are focusing on the detailed studies of the function of convexity in the theory of inequalities and generalizations of new integral inequalities for differentiable mapping along with the Simpsons type as well as Hermite-Hadamards type. Here, we derive some explicit bounds for the mid-point, Trapezoid and Simpsons quadrature rule with the aid of modern theory of inequalities and general Peano-Kernel approach in coherent with the convexity (s,m)−convex at most first derivative. In our monograph we shall generalize some integral inequalities for generalized convex function and, in parallel, developments shall be made on concavity. With the above mentioned technique, we are able to focus on the larger classes of functions allowing us to conduct different quadrature rule that have restrictions on the behavior of the integrand. By applying the Holder inequality and power mean equality, different generalizations and melioration for a formal inequalities and differentiable mapping of the functions where the function under specific condition is convex are considered. The results presented here extend various inequalities of the Simpson’s and Hermite-Hadamard.Item Convergence Analysis of Hybrid Projection Method for Split Equilibrium Problems in Hilbert Spaces(Library Information Services, COMSATS University, Lahore Campus, 2018) Faisal Mumtaz,; FA16-RMT-029; Dr. M. Aqeel Ahmad Khan, Assistant Profesor; LHR TP 5192Convergence Analysis of Hybrid Projection Method for Split Equilibrium Problems in Hilbert Spaces This work is devoted to establish the strong convergence results of an iterative algorithm generated by the shrinking projection method in Hilbert spaces. The proposed approximation sequence is used to find a common element in the set of solutions of a finite family of split equilibrium problems and the set of common fixed points of a finite family of total asymptotically strict pseudo contractions in such setting.Item Creeping Flow of Viscous Fluid through a Porous Permeable Slit with Exponential Reabsorption(Library Information Services, COMSATS University, Lahore Campus, 2019) Sadia Karamat,; FA17-RMT-048; Dr. Quart-Ul-Ain Azim, Assistant Profesor; LHR TP 5669Creeping flow across a porous channels occur in a diverse number of physical phenom ena like filtration plants in engineering and industry, glomerular tubule filtration, prox imal tubule reabsorption etc. There are a great many studies in literature that address the creeping flow of Newtonian liquid through porous cut, but corresponding studies for flow through porous media are unaccounted for. To address this space in ongoing research literature, we have done to execute the analytical study of creeping flow of viscous liquid through a slit with porous walls where the reabsorption function is ex ponential. The study is motivated by diseased proximal convoluted tubule in context, where the tubular space acts as a porous medium due to disease. Modeling is the first step of present work which interprets the physical problem into mathematical form. Then the resulting complex differential equations we solved to obtain exact solutions. Physical quantities like components of velocity, pressure distribution, leakage flux and fractional reabsorption are evaluated. Finally we present the graphical analysis of the obtained resultsItem A Study Of Cosmic Accelerating Behavior with Interacting Dark Sectors(Library Information Services, COMSATS University, Lahore Campus, 2019) Muhammad Jameel Imtiaz; , FA17-RMT-031; Dr. Rabia Saleem, Assistant Profesor; LHR TP 5659The main focus of this thesis is to investigate an interacting phenomena be tweendarkmatter(DM)-darkenergy(DE)withinanon-flatFriedmann-Lemaitre Robertson-Walker (FLRW) spacetime geometry boundedbyahorizonwithspe cific Ricci cut-off. The Ricci model of DE has been under taken as a cosmic fluid ingredient along with DM. To check consistency of the considered model with astrophysical data coming from recent observations, we assume a positive interaction term Q between two components of fluid along with “Chevallier Polarsky-Linder type parametrization" of the coincidence parameter r(z). By calculating all the physical quantities like energy density and pressure, we con straint the model parameters and found specific region of validity for these pa rameters. It is observed that our model possess a future singularity of Type III. After finding the singular behavior, we examine the nature of our model via cosmological parameters like q, r, s. It is noted that our model is very close to Λcold dark matter (ΛCDM)Item Off-Centerd Stagnattion Point Flow Of Viscous Flu(Library Information Services, COMSATS University, Lahore Campus, 2019) Umer Zahid,; FA17-RMT-009; Dr. Mohsan Hassan, Assistant Profesor; LHR TP 5647The present work is concerned with the modeling and analysis of off-centered stagnation point flow of viscous fluid towards a rotating disc. The governing non-linear equations and their associated boundary conditions are transformed into ordinary differential equations by utilizing an appropriate similarity transformation. A BVPh 2.0, a HAM-based mathematica package is use to evaluate the analytical solution. The effects of pertaining parameter on radial, azimuthal and induced velocities components of the fluid flow are presented graphically and discussed. Moreover, comparisons have also been made with the previous results as a special case.Item Thermal Fluctuations Of A Regular And Einstein(Library Information Services, COMSATS University Islamabad, Lahore Campus, 2016) Hafiza Zarish Arshad; , FA14-BSM-001; Dr. Abdul Jawad, Assistant Profesor; LHR TP 5252In this thesis, we study the effects of thermal fluctuations on regular black hole solutions with cosmological constant and Einstein-aether black hole with coupling constant respectively. We consider the logarithmic corrected entropy in order to analyzing the thermal fluctuations on regular black hole solutions and Einstein-aether black hole. We also obtain various thermo dynamical quantities such as entropy, pressure, specific heats, Gibb’s free energy and Helmholtz free energy. We also investigate the stability of reg ular black hole solution and Einstein-aether black hole in terms of γ, phase transition, grand canonical ensemble and canonical ensemble. We analyze that regular black hole are stable when we increase the value of cosmologi cal constant and Einstein-aether black hole are stable when we increase the value of coupling constant respectively.