The use of fuzzy partial differential equations has become an important tool in which uncertainty or vagueness exists to model real-life problems. In this article, two numerical techniques based on finite difference schemes that are the centered time center space and implicit schemes to solve fuzzy wave equations were used. The core of the article is to formulate a new form of centered time center space and implicit schemes to obtain numerical solutions fuzzy wave equations in the double parametric fuzzy number approach. Convex normalized triangular fuzzy numbers are represented by fuzziness, based on a double parametric fuzzy number form. The properties of fuzzy set theory are used for the fuzzy analysis and formulation of the proposed numerical schemes followed by the new proof stability thermos under in the double parametric form of fuzzy numbers approach. The consistency and the convergence of the proposed scheme are discussed. Two test examples are carried out to illustrate the feasibility of the numerical schemes and the new results are displayed in the forms of tables and figures where the results show that the schemes have not only been effective for accuracy but also for reducing computational cost.

The major aim of this descriptive research study was to explore the views and attitudes of English as a Foreign Language (EFL) teachers in Saudi Arabia about using songs when Teaching English to Young Learner (TEYL) oral skills (listening and speaking) specifically. The opinions of English language teachers in primary school in Jeddah (n=89) were collected through the use of one instrument which is questionnaire. The data were generated using the IBM SPSS Statistics 22® program. The results demonstrated that most of the teachers surveyed realize the pedagogical value of using songs when teaching English oral skills to Young Learner (YL), however, they do not use songs because of their religious and cultural beliefs. Therefore, it is suggested that teachers should be provided with chants that are free of musical instruments to avoid any controversies with cultural or religious beliefs. The development of a website that contains educational songs and is designed specifically to suit Saudi EFL teachers’ needs is strongly recommended.

Formation damage is the impairment of permeability of rocks inside a petroleum reservoir. This occurs during drilling, production, stimulation and enhanced oil recovery operations, by various mechanisms such as chemical, mechanical, biological and thermal. Near wellbore formation damages have a great impact on productivity of the damaged formation. Acidizing is a stimulation method to remove the effect of near wellbore damage through reacting with damaging materials or the formation rocks (carbonate or sandstone rocks) to restore or improve permeability around the wellbore. Several experiments are conducted to study the effect of temperature and acid concentration combined on the efficiency of matrix acidizing. Three different concentrations scenarios of hydrochloric acid (3%, 15%, and 28%) and 4 different temperatures scenarios (25 °C, 35 °C, 70 °C, and 100 °C) were tested to investigate pore-enlargement success effect on permeability. The purpose of this experiment is to introduce the concept of optimized temperature augmented with optimized acid concentration in carbonate matrix acidulation. Morphology of pore geometry and area measurement software is used. New Advancement in imaging that captured pore area enlargement as big-data necessarily for artificial intelligence modeling. Captured pores before treatment and captured pores after thermal-HCL acid treatment have demonstrated that image processing of the actual acidized rock data can select the optimized recipe concentration of acid that will increase permeability, hence recovery. The results show that matrix acidizing is an effective method to improve permeability and enhance production, as it demonstrates that using less acid concentration with the optimized temperature can result in a favorable and satisfying outcomes.

Aims: The aim of the study was to estimate the incidence of Community-acquired pneumonia (CAP) among patients with chronic obstructive pulmonary disease (COPD). Study Design:  A retrospective cohort study. Place and Duration of Study: King Abdulaziz Medical City in Riyadh between January 2016 to March 2018. Methodology: From the medical file, we identified patients with COPD diagnosis who admitted to the hospital. Then we identified the patient who develop CAP after the diagnosis date of the COPD. Other variables such as demographic factors, clinical outcome, comorbidity disease, length of stay in the hospital, and mortality were identified for each patient using their electronic medical file. Results: Out of 363 COPD patients, 122 (33%) had developed CAP after the date of COPD diagnosis.  Based on patient characteristics, the mean age of them was 75.39 years SD was 9.76 and 65% of the patients were female. The available evidence indicates that the mortality rate was n=22 (18.0%). Among those patient, 33 patients were admitted to ICU (27.0%) the rest of patients either wards n= 59 (48.4%) or both n=28 (23.0%). Among our study population, 97.4% had hypertension, 88.6% of the patients had diabetes, and 28.9% had renal failure.  Majority of the study population have been placed on non-invasive ventilation n=94 (77.0%). Conclusion: This study has been shown that COPD patients had increased risk of CAP. Patients who have multiple comorbidity diseases and got CAP with COPD have a higher risk of morbidities and mortality rate, especially elderly patients.Mention the design of the study here.

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