the purpose of this paper is to analyze in detail a special nonlinear partial differentialequation (npde) of the second order which is important in physical, chemical and technicalapplications. the present npde describes nonlinear diffusion and is of interest in several partsof physics, chemistry and engineering problems alike. since nature is not linear intrinsicallythe nonlinear case is there...

Abstract A new synchronous machine model is presented which is readily implemented in either circuit-based or differentialequation-based simulation programs. This model is well suited for the simulation and analysis of synchronous machine converter systems. It is based upon standard representations and no approhations are made in its derivation. However, the numerical implementation is shown to...

Selecting an appropriate mathematical model to describe the dynamical behavior of a genetic regulatory network plays an important part in discovering gene regulatory mechanisms. Whereas fine-scale models can in principle provide a very accurate description of the real genetic regulatory system, one must be aware of the availability and quality of the data used to infer such models. Consequently...

We study the performance of reliable and unreliable allnode broadcast over ad-hoc networks that use contentionbased channel access. To obtain analytical results while preserving hidden-terminal and node clustering characteristics of ah-hoc networks, we introduce a novel differentialequation fluid model for information flow through a network of cluster trees, where a spanning tree joins groups o...

introduction: a large number of software programs have been used in dentistry for diagnosis and treatment planning to date. however, due to promotion of programming languages and developments in dental sciences, it is necessary to develop and update these softwares. use of softwares for treatment planning for removable partial dentures has been popular for some time and always new softwares hav...