A new approach for solving nonlinear Thomas-Fermi equation based on fractional order of rational Bessel functions

In this paper, the fractional order of rational Bessel functions collocation method (FRBC) to solve Thomas-Fermi equation which is defined in the semi-infinite domain and has singularity at $x = 0$ and its boundary condition occurs at infinity, have been introduced. We solve the problem on semi-infinite domain without any domain truncation or transformation of the domain of the problem to a finite domain. This approach at first, obtains a sequence of linear differential equations by using the quasilinearization method (QLM), then at each iteration solves it by FRBC method. To illustrate the reliability of this work, we compare the numerical results of the present method with some well-known results in other to show that the new method is accurate, efficient and applicable

A new operational matrix based on Bernoulli polynomials

In this research, the Bernoulli polynomials are introduced. The properties of these polynomials are employed to construct the operational matrices of integration together with the derivative and product. These properties are then utilized to transform the differential equation to a matrix equation which corresponds to a system of algebraic equations with unknown Bernoulli coefficients. This method can be used for many problems such as differential equations, integral equations and so on. Numerical examples show the method is computationally simple and also illustrate the efficiency and accuracy of the method

Dynamic thermal models: reliability for domestic building design

This paper describes a three year UK initiative—Applicability Study 1-to enhance the usability and credibility of detailed thermal simulation programs with particular reference. to the design of passive solar dwellings. Researchers at Leicester Polytechnic and the Building Research Establishment are working with ESP, HTB2 and SERIRES. The aims are to identify the problems for which these programs can be used reliably and those for which they cannot, to provide guidance on the best modelling techniques, indicate the uncertainty inherent in predictions, identify the attributes of programs which are necessary to obtain reliable results, and indicate areas in which additional theoretical or experimental research is needed. The results to date show that good agreement in some design trends can be obtained provided a high level of quality control is exercised and program users have a good understanding of the theoretical basis of the programs. There were, however, some situations in which the programs still predicted significant differences in the trends in energy consumption as the building design changed. These may be explained by the different algorithms employed by the detailed thermal simulation programs and errors in them

Numerical Study on Wall Temperature and Surface Heat Flux Natural Convection Equations Arising in Porous Media by Rational Legendre Collocation Approach

Abstract: In this paper, a new powerful approach, called rational Legendre collocation method (RLC) is used to obtain the solution for nonlinear ordinary deferential equations that often appear in boundary layers problems arising in heat transfer. These kinds of the equations contain infinity boundary condition. The main objective is to reduce the solution of the problem to a solution of a system of algebraic equations, which do not require linearization and imposing the asymptotic condition transforming and physically unrealistic assumptions. Numerical results are compared with those of other methods, showing that the collocation method leads to more accurate results

The Effects of Thyme and Cinnamon Essential Oils on Performance, Rumen Fermentation and Blood Metabolites in Holstein Calves Consuming High Concentrate Diet

Essential oils have been shown to favorably effect in vitro ruminal fermentation, but there are few in vivo studies that have examined animal responses. The objective of this study was to evaluate the effects of thyme (THY) and cinnamon (CIN) essential oils on feed intake, growth performance, ruminal fermentation and blood metabolites in feedlot calves fed high-concentrate diets. Twelve growing Holstein calves (213±17 kg initial BW) were used in a completely randomized design and received their respective dietary treatments for 45 d. Treatments were: 1-control (no additive), 2-THY (5 g/d/calf) and 3-CIN (5 g/d/calf). Calves were fed ad libitum diets consisting of 15% forage and 85% concentrate, and adapted to the finishing diet by gradually increasing the concentrate ratio with feeding a series of transition diets 5 wk before the experiment started. Supplementation of THY or CIN did not affect DMI and ADG, and feed efficiency was similar between treatment groups. There were no effects of additives on ruminal pH and rumen concentrations of ammonia nitrogen and total VFA; whereas molar proportion of acetate and ratio of acetate to propionate decreased, and the molar proportion of propionate increased with THY and CIN supplementation. Rumen molar concentration of butyrate was significantly increased by adding CIN compared to control; but no change was observed with THY compared with control group. No effects of THY, or CIN were observed on valerate, isobutyrate or isovalerate proportions. Plasma concentrations of glucose, cholesterol, triglyceride, urea-N, β-hydroxybutyrate, alanine aminotransferase and aspartate aminotransferase were not changed by feeding THY or CIN. Results from this study suggest that supplementing a feedlot finishing diet with THY or CIN essential oil might be useful as ruminal fermentation modifiers in beef production systems, but has minor impacts on blood metabolites

Research paper: Psychometric properties of the Persian version of self-determination parent perception scale

Objectives: Self-determination is a significant skill in the proper transition from adolescence to adulthood. Parents play an important role in assessing the self-determination of their children. Currently, there is no valid instrument in Iran to assess parents' views about the self-determination of their adolescents. The present study was conducted to determine the psychometric properties of the Persian version of the Self-determination Parent Perception Scale (SDPPS) in an Iranian population. Methods: In this descriptive psychometric study, the original version of SDPPS was translated using the forward-backward method. The content validity index and content validity ratio of the questionnaire were confirmed by a panel of 15 experts, and its face validity was evaluated among 10 parents of the adolescents. Exploratory factor analysis was conducted on 125 parents of adolescents (aged 14-18 years) who were selected by convenience sampling with maximum variation. Its reliability and internal consistency were also assessed using test-retest and in a group of 17 parents, respectively. The obtained data were analyzed by SPSS V. 18. Results: The items were modified at the face validity stage and approved at the content validity stage. Five factors by explaining 54.14 of the variance and deleting four items were confirmed at the construct validity stage using exploratory factor analysis. A Cronbach's alpha of 0.93 was obtained for the total scale and 0.79 to 0.85 for the five subscales of the SDPPS. The intra-class correlation coefficient with 95 CI (0.82-0.98) was 0.83 indicating good reliability of the questionnaire. Discussion: The Persian version of SDPPS showed acceptable validity and reliability in explaining the self-determination of adolescents with and without disabilities based on the parents' perspectives and can be applied by professionals in rehabilitation centers and those studying on human behavior. © 2020 University of Social Welfare and Rehabilitation Sciences

Prevalence of Psychiatric Symptoms and Mental Health Services in Students with Specific Learning Disabilities in Tehran, Iran

Children with specific learning disabilities are at a greater risk of mental health problems than their non-disabled peers. Further interventions and research will be required. This is a cross-sectional study. A sample of 107 students (7 to 11 years old) with specific learning disabilities were randomly selected from educational and rehabilitation settings in Tehran. The Child Symptom Inventory-4 (CSI-4) (parent checklist) was administered. Among children studied, 86 subjects (82.8 %) in some of the categories of psychiatric symptoms gained scores above the cut-off point. The most prevalent psychiatric symptoms were related to attention-deficit/hyperactivity disorder, generalized anxiety disorder and oppositional defiant disorder. There were not any statistically significant differences between the genders. In addition to direct education, 15 subjects (14 %) were receiving medication, 2 subjects (1.9 %) were receiving only occupational therapy, 2 subjects (1.9 %) were receiving only speech therapy, and 5 subjects (4.7 %) were receiving both occupational and speech therapy. The emphasis on considering co-morbid symptoms and usage of mental health services are important issues for students with specific learning difficulties

A prospective risk assessment of informal carers’ medication administration errors within the domiciliary setting

Increasingly, medication is being administered at home by family and friends of the care-recipient. This study aims to identify and analyse risks associated with potential drug administration errors made by informal carers at home. We mapped medication administration at home with a multidisciplinary team that included carers, healthcare professionals and patients. Evidence-based risk-analysis methodologies were applied: Healthcare Failure Modes and Effect Analysis (HFMEA), Systematic Human Error Reduction and Prediction Analysis (SHERPA) and Systems-Theoretic Accident Model and Processes (STAMP). The process of administration comprises seven sub-processes. Thirty four possible failure modes were identified and six of these were rated as high risk. These highlighted that medications may be given with a wrong dose, stored incorrectly, not discontinued as instructed, not recorded, or not ordered on time, and often caused by communication and support problems. Combined risk analyses contributed unique information helpful to better understand the medication administration risks and causes within homecare