Numerical simulation of a new two-dimensional variable-order fractional percolation equation in non-homogeneous porous media

Percolation flow problems are discussed in many research fields, such as seepage hydraulics, groundwater hydraulics, groundwater dynamics and fluid dynamics in porous media. Many physical processes appear to exhibit fractional-order behavior that may vary with time, or space, or space and time. The theory of pseudodifferential operators and equations has been used to deal with this situation. In this paper we use a fractional Darcys law with variable order Riemann-Liouville fractional derivatives, this leads to a new variable-order fractional percolation equation. In this paper, a new two-dimensional variable-order fractional percolation equation is considered. A new implicit numerical method and an alternating direct method for the two-dimensional variable-order fractional model is proposed. Consistency, stability and convergence of the implicit finite difference method are established. Finally, some numerical examples are given. The numerical results demonstrate the effectiveness of the methods. This technique can be used to simulate a three-dimensional variable-order fractional percolation equation.

Perceptions of physical versus virtual design studio education

While the studio environment has been promoted as an ideal educational setting for project-based disciplines associated with the art and design, few qualitative studies have been undertaken in a comprehensive way, with even fewer giving emphasis to the teachers and students and how they feel about changing their environment. This situation is problematic given the changes and challenges facing higher education, including those associated with new technologies such as online learning. In response, this paper describes a comparative study employing grounded theory to identify and describe teachers’ and students’ perceptions of the physical design studio (PDS) as well as the virtual design studio (VDS) of architectural students in an Australian university. The findings give significance to aspects of design education activities and their role in the development of integrated hybrid learning environments.

Internet Child Abuse: Current Research, Policy and Practice

Internet Child Abuse: Current Research and Policy provides a timely overview of international policy, legislation and offender management and treatment practice in the area of Internet child abuse. Internet use has grown considerably over the last five years, and information technology now forms a core part of the formal education system in many countries. There is however, increasing evidence that the Internet is used by some adults to access children and young people in order to ‘groom’ them for the purposes of sexual abuse; as well as to produce and distribute indecent illegal images of children. This book presents and assesses the most recent and current research on internet child abuse, addressing: its nature, the behaviour and treatment of its perpetrators, international policy, legislation and protection, and policing. It will be required reading for an international audience of academics, researchers, policy-makers and criminal justice practitioners with interests in this area.

Deviance and Crime: Theory, Research and Policy

This book sensitizes the reader to the fact that there is substantial disagreement within the academic community, and among policymakers and the general public, over what behaviors, conditions (e.g., physical attributes), and people should be designated as deviant or criminal. Normative conceptions, the societal reaction/labeling approach, and the critical approach are offered as frameworks within which to study these definitions. A comprehensive explanation of theory and social policy on deviance is constructed.

The SAGE Handbook of Criminological Research Methods

Conducting research into crime and criminal justice carries unique challenges. This Handbook focuses on the application of 'methods' to address the core substantive questions that currently motivate contemporary criminological research. It maps a canon of methods that are more elaborated than in most other fields of social science, and the intellectual terrain of research problems with which criminologists are routinely confronted. Drawing on exemplary studies, chapters in each section illustrate the techniques (qualitative and quantitative) that are commonly applied in empirical studies, as well as the logic of criminological enquiry. Organized into five sections, each prefaced by an editorial introduction, the Handbook covers: • Crime and Criminals • Contextualizing Crimes in Space and Time: Networks, Communities and Culture • Perceptual Dimensions of Crime • Criminal Justice Systems: Organizations and Institutions • Preventing Crime and Improving Justice Edited by leaders in the field of criminological research, and with contributions from internationally renowned experts, The SAGE Handbook of Criminological Research Methods is set to become the definitive resource for postgraduates, researchers and academics in criminology, criminal justice, policing, law, and sociology.