The primary objective of the current paper is to suggest and implement effective computational methods (DECMs) to calculate analytic and approximate solutions to the nonlocal one-dimensional parabolic equation which is utilized to model specific real-world applications. The powerful and elegant methods that are used orthogonal basis functions to describe the solution as a double power series have been developed, namely the Bernstein, Legendre, Chebyshev, Hermite, and Bernoulli polynomials. Hence, a specified partial differential equation is reduced to a system of linear algebraic equations that can be solved by using Mathematica®12. The techniques of effective computational methods (DECMs) have been applied to solve some specific cases of time-dependent diffusion equations. Moreover, the maximum absolute error () is determined to demonstrate the accuracy of the proposed techniques.
The results of theoretical and experimental investigations carried out to study the effect of load and relative sliding speed on the abrasive wear behavior in drilling bit teeth surfaces of an insert tungsten carbide bit have been presented. Experimentally, an apparatus for abrasive wear tests conducted on the modified ASTM-G65 was modified and fabricated to facilitate loading and measurement of wear rate for the sand/ steel wheel abrasion test, which involves two cases of contact; first is at dry sand and second is under wet condition. These tests have been carried under varied operating parameters of normal load and sliding speed. A theoretical model based upon the Archard equation has been developed for predicting wear simulation by u
... Show MoreIn this study we try to make a first step for making a new list for fauna and flora of Kurdistan in particular and Iraq in general. This is very important study of biodiversity of Iraq. We recognize 52 migratory and resident birds including Alectoris chukar asoica which is recently described. Also, 20 amphibians and reptiles including two snakes recently recorded Zamenis hohenackeri and Platyceps ladacesis, a new form of Asaccus sp. and sub- species of Varanuns griseus caspeius for the first time in Iraq, with many rare specimens. Thirteen different species of mammals were recognized, with comme
... Show MoreThe Current Research Seeks To Identify The Possibility Of Unifying The Private Drinking Stations In The Session In A Single Station In Order To Prevent Pollution. In Order To Achieve The Goal Of The Current Research, The Researcher Followed The Descriptive Survey Approach. The Researcher Identified The Research Community As Working In Institutions Related To Drinking Water Filtering In The Governorate Of Baghdad, And In Order To Collect Data And Information Necessary To Answer The Study's Question (Is It Possible To Supply Private Drinking Stations With One Station?) Researcher Designed A Questionnaire Consisting Of (10) Paragraphs Measuring Aspects Of This Topic, And Applied It To A Sample Of Employees And Workers Amounted To (200) People,
... Show MoreLinear regression is one of the most important statistical tools through which it is possible to know the relationship between the response variable and one variable (or more) of the independent variable(s), which is often used in various fields of science. Heteroscedastic is one of the linear regression problems, the effect of which leads to inaccurate conclusions. The problem of heteroscedastic may be accompanied by the presence of extreme outliers in the independent variables (High leverage points) (HLPs), the presence of (HLPs) in the data set result unrealistic estimates and misleading inferences. In this paper, we review some of the robust
... Show MoreThe crystal structures of a new polymorph and seven new derivatives of 2-(1-phenyl-1H-1,2,3-triazol-4-yl)pyridine have been characterized and examined along with three structures from the literature to identify trends in their intermolecular contact patterns and packing arrangements in order to develop an insight into the crystallization behaviour of this class of compound. Seven unique C-H...X contacts were identified in the structures and three of these are present in four or more structures, indicating that these are reliable supramolecular synthons. Analysis of the packing arrangements of the molecules using XPac identified two closely related supramolecular constructs that are present in eight of the 11 structures; in all cases, the st
... Show MoreForensic accounting (FA) is an important tool in exposing financial manipulation and corruption within institutions, making the role of FA essential in the Iraqi judicial system (IJS). This role suffers from limited implementation due to the lack of specialized legislation and insufficient awareness of its importance. The role of FA in the IJS can be enhanced by enhancing professional training, amending university curricula to include FA, and developing legislation regulating this field. Furthermore, cooperation between courts and the FA should be strengthened to ensure adequate financial evidence (FE) in judicial cases. For example, the experiences of developed countries, such as the United States and the United Kingdom, demonstrate how FA
... Show MoreBeta Distribution
Abstract
Gamma and Beta Distributions has very important in practice in various areas of statistical and applications reliability and quality control of production. and There are a number of methods to generate data behave on according to these distribution. and These methods bassic primarily on the shape parameters of each distribution and the relationship between these distributions and their relationship with some other probability distributions. &nb
... Show MoreThe evolution of cryptography has been crucial to preservation subtle information in the digital age. From early cipher algorithms implemented in earliest societies to recent cryptography methods, cryptography has developed alongside developments in computing field. The growing in cyber threats and the increase of comprehensive digital communications have highlighted the significance of selecting effective and robust cryptographic techniques. This article reviews various cryptography algorithms, containing symmetric key and asymmetric key cryptography, via evaluating them according to security asset, complexity, and execution speed. The main outcomes demonstrate the growing trust on elliptic curve cryptography outstanding its capabi
... Show MoreThis semiotic analytical study has shown that there is a wide diversity in the aesthetic systems and the ranges of reception for the rhetoric and the discourse. The fertility of this semiotic conceptual system monitored this new mature, innovative and advanced level of this new critical analytical method with its different technical and theoretical foundations. Thus, it opened the door wide to new discoveries in the laws, which motivate different artistic texts. Finally, the research is just a start. Can the linguistic methods read the artistic works outside the linguistic authorities? Is it possible to capture the structural transformation in Picasso drawings? Semiotically another researcher in another method (such as deconstruction) ca
... Show MoreThis article studies a comprehensive methods of edge detection and algorithms in digital images which is reflected a basic process in the field of image processing and analysis. The purpose of edge detection technique is discovering the borders that distinct diverse areas of an image, which donates to refining the understanding of the image contents and extracting structural information. The article starts by clarifying the idea of an edge and its importance in image analysis and studying the most noticeable edge detection methods utilized in this field, (e.g. Sobel, Prewitt, and Canny filters), besides other schemes based on distinguishing unexpected modifications in light intensity and color gradation. The research as well discuss
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