In this work, we proposed an effective method based on cubic and pantic B-spline scaling functions to solve partial differential equations of fractional order. Our method is based on dual functions of B-spline scaling functions. 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 syste...

introduction: the aim of this study was to evaluate the influence of different levels of external irrigation during irradiation with an erbium, chromium: yttrium-scandium-gallium-garnet (er,cr:ysgg) laser on the roughness and wear of dental tissue during scaling procedures. methods: twenty-five uniradicular bovine teeth had the proximal surfaces planed and divided into 3 regions: upper, middle ...

measurement of soil saturated hydraulic conductivity, ks, is normally affected by flow patterns such as macro pore; however, most current techniques do  not differentiate flow types, causing major problems in describing water and chemical flows within the soil matrix. this study compares eight models for scaling ks and predicted matrix and macro pore ks, using a database composed of 50 datasets...

various scaling methods such as relative viscosity, peclet and reynolds scaling were used to find the best scaling law. scaling and modeling of the flow curves of various model emulsions consist of tragacanth gum (tg) (0.5, 1 % wt), oleic acid (5, 10% v/v) and wpi (2, 4 % wt) were investigated and the best models were selected. as these emulsions are non-newtonian, they do not obey the usual, si...

Typically, to study the effects of consecutive earthquakes, it is necessary to consider definite intensity levels of the first shock. Methods commonly used to define intensity involve scaling the first shock to a specified maximum interstorey drift. In this study the structure’s predefined elastic spectral acceleration caused by the first shock is also considered for scaling. This study aims to...

abstract: background and aim:  micro-ultrasonic tips are similar to hand instruments in their clinical application of subgingival scaling.  in spite of their favorable results, excessive penetration of mini-insert ultrasonic scalers to the bottom of gingival pocket may cause harmful effects. the aim of this study was to evaluate the immediate effect of root instrumentation with gracey curettes ...

asphaltene instability is one of the major problems in gas injection projects throughout the world. numerous models have been developed to predict asphaltene precipitation; the scaling equation is an attractive tool because of its simplicity and not involving complex properties of asphaltene. in this work, a new scaling model is presented to account  for asphaltene precipitation due to gas inje...