Outputs (94)

Bounds on the dynamics of sink populations with noisy immigration (2014)
Journal Article
Eager, E. A., Guiver, C., Hodgson, D., Rebarber, R., Stott, I., & Townley, S. (2014). Bounds on the dynamics of sink populations with noisy immigration. Theoretical Population Biology, 92, 88-96. https://doi.org/10.1016/j.tpb.2013.12.004

Sink populations are doomed to decline to extinction in the absence of immigration. The dynamics of sink populations are not easily modelled using the standard framework of per capita rates of immigration, because numbers of immigrants are determined... Read More about Bounds on the dynamics of sink populations with noisy immigration.

Converging structures? Recent regulatory change in bus-based local public transport in Sweden and England (2014)
Journal Article
Rye, T., & Wretstrand, A. (2014). Converging structures? Recent regulatory change in bus-based local public transport in Sweden and England. Research in Transportation Economics, 48, 24-32. https://doi.org/10.1016/j.retrec.2014.09.028

This paper compares the regulatory structures that have developed in local bus regulation over the past 20 years in local public transport in Sweden and England outside London, and their impacts. The paper will attempt to assess how far there are si... Read More about Converging structures? Recent regulatory change in bus-based local public transport in Sweden and England.

The Role of Feeder Shipping in Chinese Container Port Development (2014)
Journal Article
Wang, Y., Cullinane, K., & Hu, Y. (2014). The Role of Feeder Shipping in Chinese Container Port Development. Transportation Journal, 53(2), 253-267. https://doi.org/10.5325/transportationj.53.2.0253

The future development of China's container ports has become a critical issue, due to the sector's dependence on international trade and the excessive interport competition that exists both within China itself and with the ports of neighbouring count... Read More about The Role of Feeder Shipping in Chinese Container Port Development.

Optimising time-varying network flows by low-revenue tolling under dynamic user equilibrium. (2014)
Journal Article
Stewart, K., & Ge, Y. (2014). Optimising time-varying network flows by low-revenue tolling under dynamic user equilibrium. European journal of transport and infrastructure research, 14, 30-45

This paper presents a dynamic congestion charging framework that includes a dynamic user equilibrium (DUE) network model to optimize a tolling scheme, whose objective(s) may be determined by the transport planner. The framework presented may be utili... Read More about Optimising time-varying network flows by low-revenue tolling under dynamic user equilibrium..

Similarity solutions to unsteady pseudoplastic flow near a moving wall (2014)
Journal Article
Robin, W. (2014). Similarity solutions to unsteady pseudoplastic flow near a moving wall. International Mathematical Forum, 9(31), 1465-1475. https://doi.org/10.12988/imf.2014.418

It is shown that similarity solutions to a partial differential boundary value problem for power law fluids may be generated by the application of a multi-parameter stretching group. Furthermore, the resulting ordinary differential boundary value... Read More about Similarity solutions to unsteady pseudoplastic flow near a moving wall.

Series solutions of partial differential equations using the complex integral method (2014)
Journal Article
Robin, W. (2014). Series solutions of partial differential equations using the complex integral method. International Mathematical Forum, 9, 1477-1494. https://doi.org/10.12988/imf.2014.48145

The complex integral method for solving ordinary differential equations in series [3, 7, 8] is extended to cover the series solution of partial differential equations also. The means of this extension is straightforward, with both ‘ordinary’ and ‘Fro... Read More about Series solutions of partial differential equations using the complex integral method.

Series Solution of Second-Order Linear Homogeneous Ordinary Differential Equations via Complex Integration (2014)
Journal Article
Robin, W. (2014). Series Solution of Second-Order Linear Homogeneous Ordinary Differential Equations via Complex Integration. International Mathematical Forum, 9, 967-976. https://doi.org/10.12988/imf.2014.4492

A method is presented, with standard examples, based on an elementary complex integral expression, for developing, in particular, series solutions for second-order linear homogeneous ordinary differential equations. Straightforward to apply, the meth... Read More about Series Solution of Second-Order Linear Homogeneous Ordinary Differential Equations via Complex Integration.

On the procedure for the series solution of certain general-order homogeneous linear differential equations via the complex integration method. (2014)
Journal Article
Robin, W. (2014). On the procedure for the series solution of certain general-order homogeneous linear differential equations via the complex integration method. Nonlinear Analysis and Differential Equations, 2, 155-171. https://doi.org/10.12988/nade.2014.4712

The theory of series solutions for two important classes of the general higher-order linear homogeneous ordinary differential equation is developed ab initio, using an elementary complex integral expression derived and applied in previous papers [10,... Read More about On the procedure for the series solution of certain general-order homogeneous linear differential equations via the complex integration method..

Ladder-Operator Factorization and the Bessel Differential Equations (2014)
Journal Article
Robin, W. (2014). Ladder-Operator Factorization and the Bessel Differential Equations. International Mathematical Forum, 9, 71-80. https://doi.org/10.12988/imf.2014.311214

We present an alternative approach to the discussion of Bessel equations and Bessel functions, through an elementary factorization method. The various Bessel equations are represented by a single parameterized form and, after a standard transformatio... Read More about Ladder-Operator Factorization and the Bessel Differential Equations.

Frobenius Series Solution of Fuchs Second-Order Ordinary Differential Equations via Complex Integration (2014)
Journal Article
Robin, W. (2014). Frobenius Series Solution of Fuchs Second-Order Ordinary Differential Equations via Complex Integration. International Mathematical Forum, 9, 953-965. https://doi.org/10.12988/imf.2014.4491

A method is presented (with standard examples) based on an elementary complex integral expression, for developing Frobenius series solutions for second-order linear homogeneous ordinary Fuchs differential equations. The method reduces the task of fin... Read More about Frobenius Series Solution of Fuchs Second-Order Ordinary Differential Equations via Complex Integration.