in this work, we proposed an efective method based on cubic and pantic b-spline scaling functions to solve partial differential equations of frac- tional order. our method is based on dual functions of b-spline scaling func- tions. we derived the operational matrix of fractional integration of cubic and pantic b-spline scaling functions and used them to transform the mentioned equations to a ...

The Scaling Law for the Discrete Kinetic Growth Percolation Model The critical exponent of the total number of finite clusters α is calculated directly without using scaling hypothesis both below and above the percolation threshold pc based on a kinetic growth percolation model in two and three dimensions. Simultaneously, we can calculate other critical exponents β and γ, and show that the scal...

abstract spatial variability of soils makes difficult analysis of soil water flow phenomena especially in a large area such as a watershed. using scaling methods is a solution in variability problems. the objective of this study was to investigate the effect of the non-linear variability on performance of the scaling methods of richards’ equation for modeling infiltration in a watershed. the me...

background & aims of the study: corrosion and scaling play undesirable effects on transmission and distribution system of drinking water. the aim of this study was to assess the corrosion and scaling potential of drinking water resources in babol city. materials and methods: totally, 54 water samples were collected from 27 wells in spring and autumn. calciu m hardness, ph, total alkalinity, tot...