This paper provides a four-stage Trigonometrically Fitted Improved Runge-Kutta (TFIRK4) method of four orders to solve oscillatory problems, which contains an oscillatory character in the solutions. Compared to the traditional Runge-Kutta method, the Improved Runge-Kutta (IRK) method is a natural two-step method requiring fewer steps. The suggested method extends the fourth-order Improved Runge-Kutta (IRK4) method with trigonometric calculations. This approach is intended to integrate problems with particular initial value problems (IVPs) using the set functions and for trigonometrically fitted. To improve the method's accuracy, the problem primary frequency is used. The novel method is more accurate than the conventional Runge-Kutta method and IRK4. Several test problems for the system of first-order ordinary differential equations carry out numerically to demonstrate the effectiveness of this approach. The computational studies show that the TFIRK4 approach is more efficient than the existing Runge-Kutta methods.
The present studier aims to study the kinetic of reaction at different experimental conditions depending on coliform bacteria concentration and hypochlorite ion. The effects that had been investigated were different of sodium hypochlorite doses, contact time, pH and temperature (20, 29, 37) o C. The water samples were taken from Al-Wathba water treatment plant in Risafa side of Tigris River in Baghdad. The biological tests included the most probable number (M.P.N) for indicating the concentration of coliform bacteria with different contact times and the total plate count (T.P.C) for indicating the amount of colonies for general bacteria. The iodimetry method (chemical test) was used for indicating the concentration of hypochlo
... Show Morein this paper fourth order kutta method has been used to find the numerical solution for different types of first liner
An experimental of kinetics investigation of the solution free radical polymerization of isopropylacrylamide (IPAM) initiated with potassium persulfate (PPS) was conducted. The reactions were carried out at constant temperature of 60 °C in distilled water under unstirred and inert conditions. Using the well-known conversion vs. time technique, the effects of initiator and monomer concentration on the rate of polymerization (Rp) were investigated over a wide range. Under the conditions of our work, the orders 0.38 and 1.68 were found with respect to initiator and monomer, respectively. However, the rate of polymerization (Rp) is not straight forwardly corresponding monomer concentration. The value 46.11 kJ mol1 was determined as the o
... Show MoreEconazole nitrate (EN) is considered as the most effective agent for the treatment of all forms of
dermatomycosis caused by dermatophytes. This study was carried out to formulate a stable
Econazole nitrate solution for a topical use through preparation of different formulas and selected
the most suitable one. The results indicated that the use of propylene glycol and ethanol as a vehicle
for EN which is very slightly soluble in water gave amore stable formula as EN topical solution,
with a shelf life of about 3.15 years .The data also indicated that the light accelerated the
degradation of EN, while the type of container (glass or plastic) had no effect on the rate of drug.
The overall results of this study suggest t
Attempts were made over the years to achieve economic and easy methods for water purification. This could well save time, cost, and earn a good process quality for many countries. This study aims to enhance the purification process parameters for Congo red dye polluted water and introduce a developed methodology with an impact on many associated parameters such as the time for water purification process. The research proposes a method to achieve this time reduction by mixing gold nanoparticle (AuNPs) (prepared by chemical reduction method) with Titanium dioxide nanoparticles (TiO2NPs) (prepared by sol-gel techniques). The resulting mixture is incorporated into PVA host to synthesize a hard disk used as a purification d
... Show MoreGrain size and shape are important yield indicators. A hint for reexamining the visual markers of grain weight can be found in the wheat grain width. A digital vernier caliper is used to measure length, width, and thickness. The data consisted of 1296 wheat grains, with measurements for each grain. In this data set, the average weight (We) of the twenty-four grains was measured and recorded. To determine measure of the length (L), width (W), thickness (T), weight (We), and volume(V). These features were manipulated to develop two mathematical models that were passed on to the multiple regression models. The results of the weight model demonstrated that the length and width of the grai
Freedom of opinion and expression occupy the first place among the concerns of countries and international organizations. And it is also the basis of contemporary freedom because it is the foundation for achieving freedom in other fields such as politics, economics, education, etc.. The constitutions of the state have ensured that almost the entire freedom to express an opinion in all its forms either orally or writing or images of expressions, but these freedoms are identified within the law. Most countries announced their commitment to the international conventions and texts issued by international and regional organization like the Universal Declaration of Human Rights in 1948, and the International Covenant on Civil and Political Rig
... Show MoreFinding similarities in texts is important in many areas such as information retrieval, automated article scoring, and short answer categorization. Evaluating short answers is not an easy task due to differences in natural language. Methods for calculating the similarity between texts depend on semantic or grammatical aspects. This paper discusses a method for evaluating short answers using semantic networks to represent the typical (correct) answer and students' answers. The semantic network of nodes and relationships represents the text (answers). Moreover, grammatical aspects are found by measuring the similarity of parts of speech between the answers. In addition, finding hierarchical relationships between nodes in netwo
... Show MoreThe transition of customers from one telecom operator to another has a direct impact on the company's growth and revenue. Traditional classification algorithms fail to predict churn effectively. This research introduces a deep learning model for predicting customers planning to leave to another operator. The model works on a high-dimensional large-scale data set. The performance of the model was measured against other classification algorithms, such as Gaussian NB, Random Forrest, and Decision Tree in predicting churn. The evaluation was performed based on accuracy, precision, recall, F-measure, Area Under Curve (AUC), and Receiver Operating Characteristic (ROC) Curve. The proposed deep learning model performs better than othe
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