Numerical approximation of a fractional-in-space diffusion equation (II) - with nonhomogeneous boundary conditions

In this paper, a space fractional di®usion equation (SFDE) with non- homogeneous boundary conditions on a bounded domain is considered. A new matrix transfer technique (MTT) for solving the SFDE is proposed. The method is based on a matrix representation of the fractional-in-space operator and the novelty of this approach is that a standard discretisation of the operator leads to a system of linear ODEs with the matrix raised to the same fractional power. Analytic solutions of the SFDE are derived. Finally, some numerical results are given to demonstrate that the MTT is a computationally e±cient and accurate method for solving SFDE.

Employability and job status as moderators of the effects of job insecurity on work outcomes

Despite greater use of temporary employment contracts, little is known about how employees react to job length uncertainty. Individual careers within the safety of one or two primary organisations are no longer the norm. This study investigates the effects of job insecurity and employment status (temporary/permanent) on work outcomes. Three hundred and ninety-one employees (122 temporary and 269 permanent) in low to medium level non-academic positions from two Australian universities completed a survey. The results show that a belief that comparable employment is easily available did not alleviate the negative effects of job insecurity. Work attitudes for temporaries and permanents though were differentially influenced by employee perceptions of their own employability.

Components of learning and assessment in linear algebra

Linear algebra provides theory and technology that are the cornerstones of a range of cutting edge mathematical applications, from designing computer games to complex industrial problems, as well as more traditional applications in statistics and mathematical modelling. Once past introductions to matrices and vectors, the challenges of balancing theory, applications and computational work across mathematical and statistical topics and problems are considerable, particularly given the diversity of abilities and interests in typical cohorts. This paper considers two such cohorts in a second level linear algebra course in different years. The course objectives and materials were almost the same, but some changes were made in the assessment package. In addition to considering effects of these changes, the links with achievement in first year courses are analysed, together with achievement in a following computational mathematics course. Some results that may initially appear surprising provide insight into the components of student learning in linear algebra.