Biofuel cells (BFCs) that utilize enzymes as catalysts represent a new sustainable and renewable energy technology. Numerous efforts have been directed to improve the performance of the enzymatic BFCs (EBFCs) with respect to power output and operational stability for further applications in portable power sources, self-powered electrochemical sensing, implantable medical devices, etc. The lates...

We present a new numerical method to get the approximate solutions of fractional differential equations. A new operational matrix of integration for fractional-order Legendre functions (FLFs) is first derived. Then a modified variational iteration formula which can avoid "noise terms" is constructed. Finally a numerical method based on variational iteration method (VIM) and FLFs is developed fo...

Gut Month 2017 Vol 0 No 0 Figure 1 Faecal microbiota β-diversity associates with abdominal pain. Top: Heat map of Spearman correlation between pain indices and faecal microbiota β-diversity, based on principal coordinate analysis applied to Bray-Curtis and Jaccard matrices at the level of genera (Genera) and operational taxonomic units with 97% sequence similarity (OTU 97%). The first three pri...

The priority method on the intuitionistic fuzzy preference relation (IFPR) is proposed. In order to avoid the operational difficulty in dealing with the intuitionistic sets, the equivalent interval matrices of the IFPR are introduced. Based on the multiplicative consistent definition of the fuzzy interval preference relation (FIPR), the goal programming models for deriving the priority vector o...

The present study investigates the Haar-Sinc collocation method for the solution of the hyperbolic partial telegraph equations. The advantages of this technique are that not only is the convergence rate of Sinc approximation exponential but the computational speed also is high due to the use of the Haar operational matrices. This technique is used to convert the problem to the solution of linea...

Load flow is a very significant and essential tool for the analysis of any power system and is used in the operational as well as development stages. In this work, a modified load flow method is formulated for radial distribution systems. The topological characteristics of distribution systems are employed to make proposed load flow solution possible. The proposed method makes use of two matric...

In this paper, the Legendre wavelet method for State analysis of time-varying singular nonlinear systems is studied. The properties of Legendre wavelets and its operational matrices are first presented and then are used to convert into algebraic equations. Also the convergence and error analysis for the proposed technique have been discussed. Illustrative examples have been given to demonstrate...

In this research, the Bernoulli polynomials are introduced. The properties of these polynomials are employed to construct the operational matrices of integration together with the derivative and product. These properties are then utilized to transform the differential equation to a matrix equation which corresponds to a system of algebraic equations with unknown Bernoulli coefficients. This met...

A nonlinear regression approach is employed to construct a surface wind analysis from a synthetic aperture radar (SAR) acquisition off the west coast of North America and a collocated operational marine wind forecast. The analysis is iteratively constructed using a cost function that minimizes discrepancies with the wind forecast, the SAR backscatter, and wind directions that are inferred from ...