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A new modified homotopy perturbation method for fractional partial differential equations with proportional delay
Get PDFIn this paper, we suggest and analyze a technique by combining the Shehu transform method and the homotopy perturbation method. This method is called the Shehu transform homotopy method (STHM). This method is used to solve the time-fractional partial differential equations (TFPDEs) with proportional delay. The fractional derivative is described in Caputo's sense. The solutions proposed in the series converge rapidly to the exact solution. Some examples are solved to show the STHM is easy to apply
If the propagator of QED were reversed, the mathematics of Nature would be much simpler
Get PDFIn Quantum ElectroDynamics (QED) the propagator is a function that describes the probability amplitude of a particle going from point A to B. It summarizes the many paths of Feynman’s path integral approach. We propose a reverse propagator (R-propagator) that, prior to the particle’s emission, summarizes every possible path from B to A. Wave function collapse occurs at point A when the particle randomly chooses one and only one of many incident paths to follow backwards with a probability of one, so it inevitably strikes detector B. The propagator and R-propagator both calculate the same probability amplitude. The R-propagator has an advantage over the propagator because it solves a contradiction inside QED, namely QED says a particle must take EVERY path from A to B. With our model the particle only takes one path. The R-propagator had already taken every path into account. We propose that this tiny, infinitesimal change from propagator to R-propagator would vastly simplify the mathematics of Nature. Many experiments that currently describe the quantum world as weird, change their meaning and no longer say that. The quantum world looks and acts like the classical world of everyday experience
A Modern Technique for Evaluating the Square Root of a Complex Number
Get PDFThe subject of complex numbers issue is very significant because of its wide utility, especially in the engineering circuits representation. In this paper, a modern method to find the square root of the complex number has been analyzed, and some examples on the subject were presented
Simultaneous Determination Of Atenolol And Hydrocholrothiazide In Tablets Formulation By Derivative Spectrometry
Get PDFThe derivative spectrophotometric method was developed and applied for the simultaneous determination of Atenolol (ATE) and Hydrochlorothiazide (HCT) in Tablets formulations. The first derivative spectrophotometric (1DS) method was applied for the determination of (ATE) and (HCT), respectively. (ATE) was determined at 271.9 nm (1D 271.9) and (HCT) was determined at 279.3 nm (1D 279.3). Linearity showed a good correlation coefficients R2 = 0.9994 and R2 = 0.9989 for (ATE) and (HCT), respectively. Linearity ranges were (10 – 280
A Study of The Density Property in Module Theory
Get PDFIn this paper, there are two main objectives. The first objective is to study the relationship between the density property and some modules in detail, for instance; semisimple and divisible modules. The Addition complement has a good relationship with the density property of the modules as this importance is highlighted by any submodule N of M has an addition complement with Rad(M)=0. The second objective is to clarify the relationship between the density property and the essential submodules with some examples. As an example of this relationship, we studied the torsion-free module and its relationship with the essential submodules in module M
An Estimation of Parameters For Exponentiated Burr Type XII Distribution Based on Ranked Set Sampling: parameter Estimation for EBXII and Fisher information matrix based on RSS
No full textThe aim of this paper is to estimate the parameters of exponentiated Burr type XII distribution (EBXII) based on ranked set sampling (RSS) technique, and also simple random sampling(SRS) is provided by the method of maximum likelihood. Fisher information matrix for both (SRS) and (RSS) for the unknown parameters are derived. Simulation study compared between the estimators of both methods in terms of their biases, mean square errors, and efficiencies. It is shown that the estimators based on RSS are more efficient than those of SRS
An Application of Computational Fluid Dynamics to Optimize Municipal Sewage Networks; A Case of Tororo Municipality, Eastern Uganda.
Get PDFTwo-phase pipe flow is a common occurrence in many industrial applications such as sewage, water, oil, and gas transportation. Accurate prediction of liquid velocity, holdup and pressure drop is of vast importance to ensure effective design and operation of fluid transport systems. This paper aimed at the simulation of a two-phase flow of air and sewage (water) using an open source software OpenFOAM. Numerical Simulations have been performed using varying dimensions of pipes as well as their inclinations. Specifically, a Standard k- turbulence model and the Volume of Fluid (VOF) free water surface model is used to solve the turbulent mixture flow of air and sewage (water). A two dimensional, 0.5m diameter pipe of 20m length is used for the CFD approach based on the Navier-Stokes equations. Results showed that the flow pattern behaviour is influenced by the pipe diameters as well as their inclination. It is concluded that the most effective way to optimize a sewer network system for Tororo Municipality conditions and other similar situations, is by adjusting sewer diameters and slope gradients and expanding the number of sewer network connections of household and industries from 535 (i.e., 31.2% of total) to at least 1,200 (70% of total)
Implementation of the Logistic Regression Model and its Applications
Get PDFThe purpose of an analysis using this method is the same as that of any technique in constructing models in statistics, namely to find the best and most reasonable model to describe the relationship between a result variable and a set of variables independent. We are interested in how the costs affect them and if a customer has a travel card.
Credit card customers are shown to be 6 times more likely to use it regardless of the cost they make.It is also shown that a customer is more likely to use a travel card when costs increase Through logistic regression, which gives the probability that a result is an exponential function of the independent variables, we will see how through our data we will come to very important conclusions
New Conditions of The Existence of Fixed Point in Δ- Ordered Δ Banach Algebra
Get PDFThe main idea is to construct a new algebra and find new necessary and sufficient conditions equivalent to the existence of a fixed point. In this work, an algebra is constructed, called Δ - ordered Banach algebra, we define convergent in this new space, Topological structure on Δ ordered Banach Algebra and prove this as Hausdorff space. Also, we define new conditions as Δ- lipshtiz,, Δ- contraction contraction , in this algebra construct, we prove this condition is the existence and uniqueness results of the fixed point. In this paper, we prove a common fixed point if the self-functions satisfy the new condition which is called Ф-contraction.
 
Thermochemical Liquefaction of Kraft Lignin As A Waste Management Process
Get PDFWaste management is the collection, transportation, processing or disposal, monitoring, and managing of waste materials. It tries to reduce the harmful environmental impact of each through different methods, which include but not limited to landfill, incineration, recycling, biological processing, and reduction methods. Generation, utilization and disposal of waste is increasingly becoming a significant problem in many cities of the world, with an exploding world population estimated to have a global doubling time now less than twenty years. This research focuses on energy recovery as a viable method of disposal of non-hazardous biomass components of municipal solid waste with a prototype waste kraft lignin material using the thermochemical liquefaction process. The process used high pressure, high temperature in the presence of kraft lignin, slurry solvent, and a suitable catalyst to produce a mixture of gases, liquid, and solid capable of been used as fuels and chemicals and providing an alternative to the other methods. This value-adding process serves a dual purpose of providing a source of energy and providing an alternative waste management method