Abstract. We present an efficient algorithm for the evaluation of the Caputo fractional derivative C0D α t f(t) of order α ∈ (0, 1), which can be expressed as a convolution of f (t) with the kernel t. The algorithm is based on an efficient sum-of-exponentials approximation for the kernel t on the interval [∆t, T ] with a uniform absolute error ε, where the number of exponentials Nexp needed is ...

for all industrial processes, modelling, optimisation and control are the keys to enhance productivity and ensure product quality. in the current study, the optimization of process parameters for improving the conversion of isoeugenol to vanillin by psychrobacter sp. csw4 was investigated by means of taguchi approach and box-behnken statistical design under resting cell conditions. taguchi desi...

introduction: discharge of textile wastewater causes the reduction of sunlight penetration, interferes with the receiving waters ecology and damage the environment. the aim of this study was to determine the removal efficiency of reactive blue 19 dye from aqueous solutions by cuttlefish bone powder. materials & methods: this study was performed experimentally and in laboratory scale. in this re...

background textile dyes are the largest organic compounds associated with some problems for the environment. advanced oxidation process is the most effective method for dye removal from wastewater. objectives the aim of this study was to investigate the efficiency of the photo fenton process for decolorization of direct red 81 (dr 81) dye, and to determine the optimal process conditions. method...

By using binary ethanol/water mixtures, the separation performance of two improved commercial pervaporation embranes (PERVAPTM) are presented. Separation performance data are analyzed and compared as a function of operating conditions. The effect of initial feed concentration on the separation performance and the effect of feed concentration on apparent activation energy are presented. For memb...

A mathematical model has been simulated to describe natural in situ bioremediation of contaminated soil. The model equations consist of a system of three non-linear partial differential equations. Sensitivity analysis conducted by numerically solving them, has demonstrated the effect of initial contaminant concentration on the time and mechanism of remediation. The result of simulation indicate...