Analytical solutions for the two- and three-dimensional time-fractional telegraph equations by the method of separating variables

In this paper, a method of separating variables is effectively implemented for solving a time-fractional telegraph equation (TFTE) in two and three dimensions. We discuss and derive the analytical solution of the TFTE in two and three dimensions with nonhomogeneous Dirichlet boundary condition. This method can be extended to other kinds of the boundary conditions.

High order unconditionally stable difference schemes for the Riesz space-fractional telegraph equation

In this paper, a class of unconditionally stable difference schemes based on the Pad´e approximation is presented for the Riesz space-fractional telegraph equation. Firstly, we introduce a new variable to transform the original dfferential equation to an equivalent differential equation system. Then, we apply a second order fractional central difference scheme to discretise the Riesz space-fractional operator. Finally, we use (1, 1), (2, 2) and (3, 3) Pad´e approximations to give a fully discrete difference scheme for the resulting linear system of ordinary differential equations. Matrix analysis is used to show the unconditional stability of the proposed algorithms. Two examples with known exact solutions are chosen to assess the proposed difference schemes. Numerical results demonstrate that these schemes provide accurate and efficient methods for solving a space-fractional hyperbolic equation.

Colours Unknown

Colours Unknown was originally published online by Bradt Travel Guides in July, 2009. On February 7th, 2010, it was published nationally in the Sunday Telegraph, the Sunday Mail Brisbane, the Sunday Mail Adelaide, the Sunday Tasmanian and the Sunday Herald Sun. The piece won the unpublished section of the 2009 Independent on Sunday and Bradt Travel Guides Travel Writing Competition - an international writing prize based in London.

Of castles and fairytales

1,000-word travel article describing a journey on the Moselle River in Germany. "Step back in time with Germany’s historical landmarks along the country’s beautiful Mosel River, writes Kari Gislason"--publisher website

Breaking the code of silence : the Wood Royal Commission into New South Wales police : a brief overview

The three-volume Final Report of the Wood inquiry into NSW Police (Royal Commission Into the New South Wales Police Service, 'Final Report, Vol I: Corruption; Vol II: Reform; Vol III: Appendices', May 1997) was publicly released on 15 May 1997, to much media fanfare. The Sydney Morning Herald (SMH) devoted an 8-page special report on I May to the pending release of the Inquiry Report, headed The Police Purge. On the day of the public release of the Report, the SMH five-page 'Special Report' under the banner The Police Verdict was headlined Wood, Carr Split on Drugs. The Australian led with Call for Drug Law Revamp, Force Overhaul to Fight Corruption, Wood Attacks Culture of Greed, and the Daily Telegraph front page 'Final Verdict' was True Blue Strategy for an Honest Police Force...

Explore Darwin and Litchfield National Park in the Northern Territory

The city as it now stands marks the fifth attempt at a settlement in the north. Fearful of Dutch territorial claims, the British were sure they had to establish a permanent base, and acted quickly to get one started. They had more than a little trouble getting one to work...

Visit Perth, Fremantle and Rottnest Island in Western Australia

A travel article about Perth, Freemantle, and Rottnest Island. In all probability, the water at Cottesloe Beach is no bluer than at all the other beaches of Australia. But early afternoon on the day I arrive, that blue seems total, or perhaps even on the edge of some other colour spectrum still being invented. The blue of the west...

In loving memory of Corfu

A travel story about a return journey to the Greek island of Corfu. "THEY say it doesn’t pay to go back. The more a place meant to you in the past, the more likely it is that you’ll be disappointed when you return. Recently I tested the theory, and endangered my memories of the Greek island of Corfu with a second visit..."--publisher website