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In this paper, we developed a new continuous block method by the method of interpolation and collocation to derive new scheme. We adopted the use of power series as a basis function for approximate solution. We evaluated at off grid points to get a continuous hybrid multistep method. The continuous hybrid multistep method is solved for the independent solution to yield a continuous block method which is evaluated at selected points to yield a discrete block method. The basic properties of the block method were investigated and found to be consistent, zero stable and convergent. The results were found to compete favorably with the existing methods in terms of accuracy and error bound. In particular, the scheme was found to have a large region of absolute stability. The new method was tested on real life problem namely: Dynamic model.
of climate change on the hydrological regime and water resources in the basin of
Venetikos river, in Greece is assessed. A monthly conceptual water balance model
was calibrated in this basin using historical hydro meteorological data. This calibrated
model was used to estimate runoff under a transient scenario (UKTR) referring to
year 2080. The results show that the mean annual runoff, mean winter and summer
runoff values, annual maximum and minimum values, as well as, monthly maximum and
minimum, will be reduced. Additionally, an increase of potential and actual evapotranspiration
was noticed due to temperature increase.