Applying external solutions to organizational development : elearning as a platform for internal growth

Innovations in technology have facilitated eLearning process development, bringing significant impact into education. eLearning is not simply putting study materials online on the Web, nor is it a substitute for traditional classroom teaching (KPMG, 2002). Businesses worldwide have been using eLearning as a facilitator in organisational development through knowledge sharing, especially in the area of web based training and project management. eLearning has also become a large area of potential business for many organisations. In this study, we explore how eLearning has helped an organisation based in India – Tata Interactive Systems (part of TATA conglomerate), which provides eLearning solutions for businesses locally and globally. In this single case study, we explored how the organisation has not only utilised eLearning as an internal development process, but also successfully converted this learning into business opportunities for itself. To study the development process, we have applied the process theories of Van De Ven and Poole (1995).

Similarity solutions of partial differential equations using DESOLV

We present and describe new reduction routines included in DESOLV which, in many cases, may allow the complete automation of the determination of similarity solutions of partial differential equations.

Scope for further analytical solutions for constant flux infiltration into a semi-infinite soil profile or redistribution in a finite soil profile.

We attempt to generate new solutions for the moisture content form of the one-dimensional Richards' [1931] equation using the Lisle [1992] equivalence mapping. This mapping is used as no more general set of transformations exists for mapping the one-dimensional Richards' equation into itself. Starting from a given solution, the mapping has the potential to generate an infinite number of new solutions for a series of nonlinear diffusivity and hydraulic conductivity functions. We first seek new analytical solutions satisfying Richards' equation subject to a constant flux surface boundary condition for a semi-infinite dry soil, starting with the Burgers model. The first iteration produces an existing solution, while subsequent iterations are shown to endlessly reproduce this same solution. Next, we briefly consider the problem of redistribution in a finite-length soil. In this case, Lisle's equivalence mapping is generalized to account for arbitrary initial conditions. As was the case for infiltration, however, it is found that new analytical solutions are not generated using the equivalence mapping, although existing solutions are recovered.