In this chapter, some real-life model problems that can be formulated as ordinary differential equations (ODEs) are introduced and numerically studied. These models are the variable-order fractional Hodgkin–Huxley model of neuronal excitation (VOFHHM) and other models with the variable-order fractional (VOF) time delay, such as the 4year life cycle of a population of lemmings model, the enzyme ...

Review of the Exxon Valdez Oil Spill Effects on Pink Salmon in Prince William Sound, Alaska E. L. Brannon a , K. Collins a , M. A. Cronin b , L. L. Moulton c , A. L. Maki d & K. R. Parker e a Center for Salmonid and Freshwater Species at Risk, University of Idaho, Moscow, Idaho, USA b Animal Science, University of Alaska, Anchorage, Alaska, USA c MJM Research, Lopez Island, Washington, USA d A....

In this paper we survey methods to control for regression model error that is correlated within groups or clusters, but is uncorrelated across groups or clusters. Then failure to control for the clustering can lead to understatement of standard errors and overstatement of statistical signi cance, as emphasized most notably in empirical studies by Moulton (1990) and Bertrand, Du o and Mullainath...

Boundary Layer Flow past a stretching surface with constant wall temperature, of a nanofluid is studied for heat transfer characteristics. The system of partial differential equations describing such a flow is subjected to similarity transformations gives rise to a boundary value problem involving a system of ordinary differential equations. This system is solved by a shooting method. Effect of...

When designing a heat pump evaporator, it is necessary to use correlations that ensure small deviations of the designed and realized process parameters for specific input data. The aim work propose suitable mathematical model physical in tubular evaporator pump. applicability proposed design was evaluated by comparing results obtained from experimental tests with numerical application model. Fo...