This paper presents the study of convective heat and mass transfer characteristics of an incompressible MHD visco-elastic fluid flow immersed in a porous medium over a stretching sheet with chemical reaction and thermal stratification effects. The resultant governing boundary layer equations are highly non-linear and coupled form of partial differential equations, and they have been solved by using fourth order Runge-Kutta integration scheme with Newton Raphson shooting method. Numerical computations are carried out for the non-dimensional physical parameters. Here a numerical has been carried out to study the effect of different physical parameters such as visco-elasticity, permeability of the porous medium, magnetic field, Grashof number, Schmidt number, heat source parameter and chemical reaction parameter on the flow, heat and mass transfer characteristics.

In the present paper we apply a sinc-Gaussian technique to compute approximate values of the eigenvalues of discontinuous Dirac systems, which contain an eigenvalue parameter in one boundary condition, with transmission conditions at the point of discontinuity. The error of this method decays exponentially in terms of the number of involved samples. Therefore the accuracy of the new technique is higher than the classical sinc-method. Numerical worked examples with tables and illustrative figures are given at the end of the paper showing that this method gives us better results. MSC: 34L16; 94A20; 65L15

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Globally, students suffer from stress, anxiety, and depression in higher education and seek counselling since education process has negative impacts on mental health of some students. This study was aimed at measuring the depression, stress, and anxiety and their associated social determinants like (income, education, residence, marital status, and educational difficulties) in undergraduate students of Umm Al-Qura University (UQU). Arabic version of the Depression, Anxiety, and Stress Scale (DASS-21) validated from the original English version instrument by Lovibond and Lovibond (1995) was used; A sample of 373 respondents through clustered sampling was drawn from the five randomly chosen faculties of the University. Data was analyzed by running ANOVA and t-test procedures in SPSS software. The study found that the prevalence of stress, anxiety, and depression in the students was 30%, 60%, and 50% respectively. A statistically significant difference was found in the stress levels of students of different colleges (p=0.000). Students’ stress levels were significantly higher (p=0.000) in the Applied Medical Sciences and in the final year students (p=0.015). Significantly high levels of depression (p=0.000), anxiety (p=0.000), and stress (p=0.000) were found in the students belonging to the poor economic strata. Depression (p=0.038), Anxiety (p=0.022), and stress (p=0.001) were statistically high in the students whose father had a low level of education. Statistically high level (p=0.028) of stress was also found in the students whose mothers had a low level of education. Students who reported educational difficulties had significantly (p=0.001) high levels depression. However, the results of stress, anxiety, and depression in married students and the location of the students’ variables were not found statistically significant. The findings may be useful for informed policymaking in the higher learning institutions and initiation of counseling provisions in the concerned faculties for the distressed students with a view to enhancing their educational outcomes.