Beyond e-commerce: when caterpillars know what butterflies understand

Many small firms increasingly operate in markets under siege from new entrants who exploit the technologies associated with the Internet's World Wide Web (the web). In these circumstances, interpreting the operating environment is like a vu jade, the opposite of deja vu, a time in space where they have never been, have no idea what they are doing and who it is that could help them. Through the use of the story of the Caterpillar and the Butterfly, this paper considers the inherent difficulties faced by small firms considering the prospect of becoming an e-firm. When considered from an evolutionary perspective, the journey from small firm to small e-firm is not seen as one of choice, but rather one of necessity. In such markets, a race currently appears to exist between entrepreneurs exploiting the web's technologies, and the process of natural selection acting upon firms whose routines have lost favour.

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.