Three Dimensional Mhd Viscous Flow Under The Influence Of Thermal Radiation And Viscous Dissipation,
2022
Institute of Mathematics, Khwaja Fareed University of Engineering & Information Technology, Rahim Yar Khan 64200, Pakistan
Three Dimensional Mhd Viscous Flow Under The Influence Of Thermal Radiation And Viscous Dissipation, Sana Akbar, Muhammad Sohail
International Journal of Emerging Multidisciplinaries: Mathematics
The present study elucidates the results on the mathematical modeling and numerical study for the viscous flow demeanor past over the plane horizontal surface stretched nonlinearly in two sideways. Furthermore, a comprehensive analysis on the effects of magnetic field, thermal radiation and viscous dissipation are considered and observed. Cartesian coordinate system is employed for modelling the flow equations. In this research water act as a traditional thermal fluid. Three distinct nanoparticles namely Gold (Au), Aluminum (Al) and Silver (Ag) are suspended. Numerical and analytical solution for the resulting differential equations demonstrates the flow demeanor for velocity and temperature distribution are …
Homotopy Analysis Method For Fourth-Order Time Fractional Diffusion-Wave Equation,
2022
HITEC Taxila Cantt
Homotopy Analysis Method For Fourth-Order Time Fractional Diffusion-Wave Equation, Naveed Imran, Raja Mehmood Khan
International Journal of Emerging Multidisciplinaries: Mathematics
This paper is devoted to the study of a fourth-order fractional diffusion-wave equation defined in a bounded space domain. We apply Homotopy Analysis Method (HAM) to obtain solutions of fourth-order fractional diffusion-wave equation defined in a bounded space domain. It is observed that the HAM improves the accuracy and enlarge the convergence domain.
Theory And Computations For The System Of Integral Equations Via The Use Of Optimal Auxiliary Function Method,
2022
Abdul wali Khan university Mardan
Theory And Computations For The System Of Integral Equations Via The Use Of Optimal Auxiliary Function Method, Laiq Zada, Falak Naz, Rashid Nawaz
International Journal of Emerging Multidisciplinaries: Mathematics
This paper extends the application of Optimal Auxiliary Function Method (OAFM) to the system of integral equations. The system of Volterra integral equations of second kind are taken as test examples. The results obtained by proposed method are compared with different methods i.e., Biorthogonal systems in a Banach space Fixed point, the implicit Trapezoidal rule in conjunction with Newton's method, and Relaxed Monte Carlo method (RMCM). The results revealed that OAFM is more efficient, simple to apply, and fast convergent. The auxiliary functions used in the method control its convergence. The values of arbitrary constants involved in the auxiliary functions …
Squeezing Flow Between Two Parallel Plates Under The EffEcts Of Maxwell Equation And Viscous Dissipation,
2022
Department of Mathematics, University of Peshawar, KP, Pakistan.
Squeezing Flow Between Two Parallel Plates Under The EffEcts Of Maxwell Equation And Viscous Dissipation, Muhammad Bilal, Anwar Saeed, Ayesha Ali
International Journal of Emerging Multidisciplinaries: Mathematics
The unsteady, incompressible electroviscous fluid flow has been investigated with thermal energy transmission across two parallel plates. The upper plate is in motion, while the lower one is stationary. The flow is governed by the Navier-Stokes equations, which are combined with the Maxwell equation. The system of nonlinear PDEs is simplified to a system of ODEs along with their boundary conditions using Von-Karman's transformation. For the problem's analytic solution, the homotopy analysis method (HAM) has been used, and the result is compared to the Runge Kutta method of order four and latest computational technique parametric continuation method (PCM) to determine …
The Art Of Landslides: How Stochastic Mass Wasting Shapes Topography And Influences Landscape Dynamics,
2022
University of Colorado, Boulder
The Art Of Landslides: How Stochastic Mass Wasting Shapes Topography And Influences Landscape Dynamics, Benjamin Campforts, Charles Shobe, Irina Overeem, Gregory Tucker
Faculty & Staff Scholarship
Bedrock landslides shape topography and mobilize large volumes of sediment. Yet, interactions between landslide-produced sediment and fluvial systems that together govern large-scale landscape evolution are not well understood. To explain morphological patterns observed in steep, landslide-prone terrain, we explicitly model stochastic landsliding and associated sediment dynamics. The model accounts for several common landscape features such as slope frequency distributions, which include values in excess of regional stability limits, quasi-planar hillslopes decorated with straight, closely spaced channel-like features, and accumulation of sediment in valley networks rather than on hillslopes. Stochastic landsliding strongly affects the magnitude and timing of sediment supply to …
Spectral Analysis Of Multiscale Cultural Traits On Twitter,
2022
MIT
Spectral Analysis Of Multiscale Cultural Traits On Twitter, Chandler Squires, Nikhil Kunapuli, Yaneer Bar-Yam, Alfredo Morales
Northeast Journal of Complex Systems (NEJCS)
Understanding and mapping the emergence and boundaries of cultural areas is a challenge for social sciences. In this paper, we present a method for analyzing the cultural composition of regions via Twitter hashtags. Cultures can be described as distinct combination of traits which we capture via principal component analysis (PCA). We investigate the top 8 PCA components of an area including France, Spain, and Portugal, in terms of the geographic distribution of their hashtag composition. We also discuss relationships between components and the insights those relationships can provide into the structure of a cultural space. Finally, we compare the spatial …
Cohomology Of The Symmetric Group With Twisted Coefficients And Quotients Of The Braid Group,
2022
University of Arkansas, Fayetteville
Cohomology Of The Symmetric Group With Twisted Coefficients And Quotients Of The Braid Group, Trevor Nakamura
Graduate Theses and Dissertations
In 2014 Brendle and Margalit proved the level $4$ congruence subgroup of the braid group, $B_{n}[4]$, is the subgroup of the pure braid group generated by squares of all elements, $PB_{n}^{2}$. We define the mod $4$ braid group, $\Z_{n}$, to be the quotient of the braid group by the level 4 congruence subgroup, $B_{n}/B_{n}[4]$. In this dissertation we construct a group presentation for $\Z_{n}$ and determine a normal generating set for $B_{n}[4]$ as a subgroup of the braid group. Further work by Kordek and Margalit in 2019 proved $\Z_{n}$ is an extension of the symmetric group, $S_{n}$, by $\mathbb{Z}_{2}^{\binom{n}{2}}$. A …
Automating Defeasible Reasoning In Law With Answer Set Programming,
2022
Singapore Management University
Automating Defeasible Reasoning In Law With Answer Set Programming, How Khang Lim, Avishkar Mahajar, Martin Strecker, Meng Weng Wong
Centre for Computational Law
The paper studies defeasible reasoning in rule-based systems, in particular about legal norms and contracts. We identify rule modifiers that specify how rules interact and how they can be overridden. We then define rule transformations that eliminate these modifiers, leading in the end to a translation of rules to formulas. For reasoning with and about rules, we contrast two approaches, one in a classical logic with SMT solvers, which is only briefly sketched, and one using non-monotonic logic with Answer Set Programming solvers, described in more detail.
Academic Hats And Ice Cream: Two Optimization Problems,
2022
Moscow Power Engineering Institute (National Research University)
Academic Hats And Ice Cream: Two Optimization Problems, Valery F. Ochkov, Yulia V. Chudova
Journal of Humanistic Mathematics
This article describes the use of computer software to optimize the design of an academic hat and an ice cream cone!
Computational Models To Detect Radiation In Urban Environments: An Application Of Signal Processing Techniques And Neural Networks To Radiation Data Analysis, Jose Nicolas Gachancipa
Beyond: Undergraduate Research Journal
Radioactive sources, such as uranium-235, are nuclides that emit ionizing radiation, and which can be used to build nuclear weapons. In public areas, the presence of a radioactive nuclide can present a risk to the population, and therefore, it is imperative that threats are identified by radiological search and response teams in a timely and effective manner. In urban environments, such as densely populated cities, radioactive sources may be more difficult to detect, since background radiation produced by surrounding objects and structures (e.g., buildings, cars) can hinder the effective detection of unnatural radioactive material. This article presents a computational model …
Navier-Stokes Equations In One And Two Dimensions,
2022
Louisiana State University and Agricultural and Mechanical College
Navier-Stokes Equations In One And Two Dimensions, Jon Nerdal
LSU Master's Theses
The Navier-Stokes equations are an important tool in understanding and describing fluid flow. We investigate different formulations of the incompressible Navier-Stokes equations in the one-dimensional case along an axis and in the two-dimensional case in a circular pipe without swirl. For the one-dimensional case we show that the velocity approximations are remarkably accurate and we suggest that understanding this simple axial behaviour is an important starting point for further exploration in higher dimensions. The complexity of the boundary is then increased with the two-dimensional case of fluid flow through the cross section of a circular pipe, where we investigate two …
A Progress Report On Numerical Methods For Bgk-Type Kinetic Equations,
2022
University of Tennessee, Knoxville
A Progress Report On Numerical Methods For Bgk-Type Kinetic Equations, Evan Habbershaw, Steven M. Wise
Faculty Publications and Other Works -- Mathematics
In this report we review some preliminary work on the numerical solution of BGK-type kinetic equations of particle transport. Such equations model the motion of fluid particles via a density field when the kinetic theory of rarefied gases must be used in place of the continuum limit Navier-Stokes and Euler equations. The BGK-type equations describe the fluid in terms of phase space variables, and, in three space dimensions, require 6 independent phase-space variables (3 for space and 3 for velocity) for accurate simulation. This requires sophisticated numerical algorithms and efficient code to realize predictions over desired space and time scales. …
Modelling Spherical Aberration Detection In An Analog Holographic Wavefront Sensor,
2022
Technological University Dublin
Modelling Spherical Aberration Detection In An Analog Holographic Wavefront Sensor, Emma Branigan, Suzanne Martin, Matthew Sheehan, Kevin Murphy
Conference Papers
The analog holographic wavefront sensor (AHWFS) is a simple and robust solution to wavefront sensing in turbulent environments. Here, the ability of a photopolymer based AHWFS to detect refractively generated spherical aberration is modelled and verified.
A Bidirectional Formulation For Walk On Spheres,
2022
Dartmouth College
A Bidirectional Formulation For Walk On Spheres, Yang Qi
Dartmouth College Master’s Theses
Poisson’s equations and Laplace’s equations are important linear partial differential equations (PDEs)
widely used in many applications. Conventional methods for solving PDEs numerically often need to
discretize the space first, making them less efficient for complex shapes. The random walk on spheres
method (WoS) is a grid-free Monte-Carlo method for solving PDEs that does not need to discrete the
space. We draw analogies between WoS and classical rendering algorithms, and find that the WoS
algorithm is conceptually identical to forward path tracing.
We show that solving the Poisson’s equation is equivalent to solving the Green’s function for every
pair of …
(R1511) Numerical Solution Of Differential Difference Equations Having Boundary Layers At Both The Ends,
2022
National Institute of Technology
(R1511) Numerical Solution Of Differential Difference Equations Having Boundary Layers At Both The Ends, Raghvendra Pratap Singh, Y. N. Reddy
Applications and Applied Mathematics: An International Journal (AAM)
In this paper, numerical solution of differential-difference equation having boundary layers at both ends is discussed. Using Taylor’s series, the given second order differential-difference equation is replaced by an asymptotically equivalent first order differential equation and solved by suitable choice of integrating factor and finite differences. The numerical results for several test examples are presented to demonstrate the applicability of the method.
Numerical Analysis Of A Model For The Growth Of Microorganisms,
2022
Southern Utah University
Numerical Analysis Of A Model For The Growth Of Microorganisms, Alexander Craig Montgomery, Braden J. Carlson
Rose-Hulman Undergraduate Mathematics Journal
A system of first-order differential equations that arises in a model for the growth of microorganisms in a chemostat with Monod kinetics is studied. A new, semi-implicit numerical scheme is proposed to approximate solutions to the system. It is shown that the scheme is uniquely solvable and unconditionally stable, and further properties of the scheme are analyzed. The convergence rate of the numerical solution to the true solution of the system is given, and it is shown convergence of the numerical solutions to the true solutions is uniform over any interval [0, T ] for T > 0.
Modeling Empirical Stock Market Behavior Using A Hybrid Agent-Based Dynamical Systems Model,
2022
Binghamton University
Modeling Empirical Stock Market Behavior Using A Hybrid Agent-Based Dynamical Systems Model, Daniel A. Cline, Grant T. Aguinaldo, Christian Lemp
Northeast Journal of Complex Systems (NEJCS)
We describe the development and calibration of a hybrid agent-based dynamical systems model of the stock market that is capable of reproducing empirical market behavior. The model consists of two types of trader agents, fundamentalists and noise traders, as well as an opinion dynamic for the latter (optimistic vs. pessimistic). The trader agents switch types stochastically over time based on simple behavioral rules. A system of ordinary differential equations is used to model the stock price as a function of the states of the trader agents. We show that the model can reproduce key stylized facts (e.g., volatility clustering and …
Statistical Characteristics Of High-Frequency Gravity Waves Observed By An Airglow Imager At Andes Lidar Observatory,
2022
Embry Riddle Aeronautical University - Daytona Beach
Statistical Characteristics Of High-Frequency Gravity Waves Observed By An Airglow Imager At Andes Lidar Observatory, Alan Z. Liu, Bing Cao
Publications
The long-term statistical characteristics of high-frequency quasi-monochromatic gravity waves are presented using multi-year airglow images observed at Andes Lidar Observatory (ALO, 30.3° S, 70.7° W) in northern Chile. The distribution of primary gravity wave parameters including horizontal wavelength, vertical wavelength, intrinsic wave speed, and intrinsic wave period are obtained and are in the ranges of 20–30 km, 15–25 km, 50–100 m s−1, and 5–10 min, respectively. The duration of persistent gravity wave events captured by the imager approximately follows an exponential distribution with an average duration of 7–9 min. The waves tend to propagate against the local background winds and …
Optimal Design Of Bacterial Carpets For Fluid Pumping,
2022
Syracuse University
Optimal Design Of Bacterial Carpets For Fluid Pumping, Minghao W. Rostami, Weifan Liu, Amy Buchmann, Eva Strawbridge, Longhua Zhao
Biology and Medicine Through Mathematics Conference
No abstract provided.
Mathematical Modeling Of Brain Cancer Growth Using A Level-Set Method,
2022
University of California, Merced
Mathematical Modeling Of Brain Cancer Growth Using A Level-Set Method, Gbocho M. Terasaki
Biology and Medicine Through Mathematics Conference
No abstract provided.
