Stability and convergence of an implicit numerical method for the non-linear fractional reaction-subdiffusion process

In this paper, we consider the following non-linear fractional reaction–subdiffusion process (NFR-SubDP): Formula where f(u, x, t) is a linear function of u, the function g(u, x, t) satisfies the Lipschitz condition and 0Dt1–{gamma} is the Riemann–Liouville time fractional partial derivative of order 1 – {gamma}. We propose a new computationally efficient numerical technique to simulate the process. Firstly, the NFR-SubDP is decoupled, which is equivalent to solving a non-linear fractional reaction–subdiffusion equation (NFR-SubDE). Secondly, we propose an implicit numerical method to approximate the NFR-SubDE. Thirdly, the stability and convergence of the method are discussed using a new energy method. Finally, some numerical examples are presented to show the application of the present technique. This method and supporting theoretical results can also be applied to fractional integrodifferential equations.

Modified alternating direction methods for solving a two-dimensional non-continuous seepage flow with fractional derivatives

In this paper, a two-dimensional non-continuous seepage flow with fractional derivatives (2D-NCSF-FD) in uniform media is considered, which has modified the well known Darcy law. Using the relationship between Riemann-Liouville and Grunwald-Letnikov fractional derivatives, two modified alternating direction methods: a modified alternating direction implicit Euler method and a modified Peaceman-Rachford method, are proposed for solving the 2D-NCSF-FD in uniform media. The stability and consistency, thus convergence of the two methods in a bounded domain are discussed. Finally, numerical results are given.

Comparing "socially responsible" and "sustainable" commercial property investment

Purpose – The purpose of this paper is to set out to explore the similarities and differences between jargon used to describe future-focussed commercial building product. This is not so much an exercise in semantics as an attempt to demonstrate that responses to challenges facing the construction and property sectors may have more to do with language than is generally appreciated. Design/methodology/approach – This is a conceptual analysis which draws upon relevant literature. Findings – Social responsibility and sustainability are often held to be much the same thing, with each term presupposing the existence of the other. Clearly, however, there are incidences where sustainable commercial property investment (SCPI) may not be particularly socially responsible, despite being understood as an environmentally friendly initiative. By contrast, socially responsible assets, at least in theory, should always be more sustainable than mainstream non-ethically based investment. Put simply, the expression of social responsibility in the built environment may evoke, and thereby deliver, a more sustainable product, as defined by wider socially inclusive parameters. Practical implications – The findings show that promoting an ethic of social responsibility may well result in more SCPI. Thus, the further articulation and celebration of social responsibility concepts may well help to further advance a sustainable property investment agenda, which is arguably more concerned about demonstrability of efficiency than wider public good outcomes. Originality/value – The idea that jargon affects outcomes is not new. However, this idea has rarely, if ever, been applied to the distinctions between social responsibility and sustainability. Even a moderate re-emphasis on social responsibility in preference to sustainability may well provide significant future benefits with respect to the investment, building and refurbishment of commercial property.

CTCombine : rotating and combining CT data with an accurate detector model, to simulate radiotherapy portal imaging at non-zero beam angles

Established Monte Carlo user codes BEAMnrc and DOSXYZnrc permit the accurate and straightforward simulation of radiotherapy experiments and treatments delivered from multiple beam angles. However, when an electronic portal imaging detector (EPID) is included in these simulations, treatment delivery from non-zero beam angles becomes problematic. This study introduces CTCombine, a purpose-built code for rotating selected CT data volumes, converting CT numbers to mass densities, combining the results with model EPIDs and writing output in a form which can easily be read and used by the dose calculation code DOSXYZnrc. The geometric and dosimetric accuracy of CTCombine’s output has been assessed by simulating simple and complex treatments applied to a rotated planar phantom and a rotated humanoid phantom and comparing the resulting virtual EPID images with the images acquired using experimental measurements and independent simulations of equivalent phantoms. It is expected that CTCombine will be useful for Monte Carlo studies of EPID dosimetry as well as other EPID imaging applications.

Beyond the user : use and non-use in HCI

For many, an interest in Human-Computer Interaction is equivalent to an interest in usability. However, using computers is only one way of relating to them, and only one topic from which we can learn about interactions between people and technology. Here, we focus on not using computers – ways not to use them, aspects of not using them, what not using them might mean, and what we might learn by examining non-use as seriously as we examine use.

Differences between students and non-students’ willingness to donate to a charitable organisation

This paper reports on a comparative study of students and non-students that investigates which psycho-social factors influence intended donation behaviour within a single organisation that offers multiple forms of donation activity. Additionally, the study examines which media channels are more important to encourage donation. A self-administered survey instrumentwas used and a sample of 776 respondents recruited. Logistic regressions and a Chow test were used to determine statistically significant differences between the groups. For donatingmoney, importance of charity and attitude towards charity influence students, whereas only importance of need significantly influences non-students. For donating time, no significant influences were found for non-students, however, importance of charity and attitude towards charity were significant for students. Importance of need was significant for both students and non-students for donating goods, with importance of charity also significant for students. Telephone and television channels were important for both groups. However, Internet, email and short messaging services were more important for students, providing opportunities to enhance this group’s perceptions of the importance of the charity, and the importance of the need, which ultimately impacts on their attitudes towards the charity. These differences highlight the importance of charities focussing on those motivations and attitudes that are important to a particular target segment and communicating through appropriate media channels for these segments.

When and how to treat pulmonary non-tuberculous mycobacterial diseases

Nontuberculous mycobacteria are ubiquitous environmental organisms that have been recognised as a cause of pulmonary infection for over 50 years. Traditionally patients have had underlying risk factors for development of disease; however the proportion of apparently immunocompetent patients involved appears to be rising. Not all patients culture-positive for mycobacteria will have progressive disease, making the diagnosis difficult, though criteria to aid in this process are available. The two main forms of disease are cavitary disease (usually involving the upper lobes) and fibronodular bronchiectasis (predominantly middle and lingular lobes). For patients with disease, combination antibiotic therapy for 12-24 months is generally required for successful treatment, and this may be accompanied by drug intolerances and side effects. Published success rates range from 30-82%. As the progression of disease is variable, for some patients, attention to pulmonary hygiene and underlying diseases without immediate antimycobacterial therapy may be more appropriate. Surgery can be a useful adjunct, though is associated with risks. Randomised controlled trials in well described patients would provide stronger evidence-based data to guide therapy of NTM lung diseases, and thus are much needed.

Selling education through “culture” : responses to the market by new, non-government schools

The move to a market model of schooling has seen a radical restructuring of the ways schooling is “done” in recent times in Western countries. Although there has been a great deal of work to examine the effects of a market model on local school management (LSM), teachers’ work and university systems, relatively little has been done to examine its effect on parents’ choice of school in the non-government sector in Australia. This study examines the reasons parents give for choosing a non-government school in the outer suburbs of one large city in Australia. Drawing on the work of Bourdieu specifically his ideas on “cultural capital” (1977), this study revealed that parents were choosing the non-government school over the government school to ensure that their children would be provided, through the school’s emphasis on cultural capital, access to a perceived “better life” thus enhancing the potential to facilitate “extraordinary children”, one of the school’s marketing claims.

Contemporary examples where doctors are not immune from non-fatal offences against a person

While it is uncontested that the medical profession makes a valuable contribution to society, doctors should not always be beyond the reach of the criminal law and they should not automatically be treated as God. Doctors should act reasonably and be conscious of their position of trust. In this sense, the notion of “doctors” is construed broadly to include a range of health care professionals such as podiatrists, radiographers, surgeons and general practitioners. This paper will explore contemporary Australian examples where doctors have acted inappropriately and been convicted of non-fatal offences against the person. The physical invasiveness involved in these scenarios varies significantly. In one example, a doctor penetrates a patient’s private body part with a probe for their own sexual gratification, and in another, a doctor covertly visually records a naked patient. The examples will be connected to the theories underpinning criminalisation, particularly social welfare and individual autonomy, with a view to framing guidelines on when doctors should not be immune from non-fatal offences against a person, and thus where the criminal law should respond.

Power sharing and stability enhancement of an autonomous microgrid with inertial and non-inertial DGs with DSTATCOM

This paper proposes a method of enhancing system stability with a distribution static compensator (DSTATCOM) in an autonomous microgrid with multiple distributed generators (DG). It is assumed that there are both inertial and non-inertial DGs connected to the microgrid. The inertial DG can be a synchronous machine of smaller rating while inertia less DGs (solar) are assumed as DC sources. The inertia less DGs are connected through Voltage Source Converter (VSC) to the microgrid. The VSCs are controlled by either state feedback or current feedback mode to achieve desired voltage-current or power outputs respectively. The power sharing among the DGs is achieved by drooping voltage angle. Once the reference for the output voltage magnitude and angle is calculated from the droop, state feedback controllers are used to track the reference. The angle reference for the synchronous machine is compared with the output voltage angle of the machine and the error is fed to a PI controller. The controller output is used to set the power reference of the synchronous machine. The rate of change in the angle in a synchronous machine is restricted by the machine inertia and to mimic this nature, the rate of change in the VSCs angles are restricted by a derivative feedback in the droop control. The connected distribution static compensator (DSTATCOM) provides ride through capability during power imbalance in the microgrid, especially when the stored energy of the inertial DG is not sufficient to maintain stability. The inclusion of the DSATCOM in such cases ensures the system stability. The efficacies of the controllers are established through extensive simulation studies using PSCAD.