• Analytical solution to nonlinear routing with arbitrary power-law storage function is presented. Constant inflow produces incomplete beta outflow. Explicit Lambert-W outflow for linear storage-depth orifice outlet provided. A new analytical a general The resulting implicit solution, expressed in terms of the function, valid hydrographs that may be represented by series pulses widths. thus ext...

As of late, the study Fractional Calculus (FC) and Special Functions (SFs) has been interestingly prompted in various realms mathematics, engineering sciences. This is due to considerable demonstrated potential their applications. Among these SFs, Gamma function Mittag-Leffler functions are most renowned distinguished. Numerous authors continue this line. The current analysis attempts introduce...

This chapter demonstrates how a neuro-fuzzy approach could produce outputs of a further-modified multi-criteria decision-making (MCDM) quality function deployment (QFD) model within the required error rate. The improved fuzzified MCDM model uses the modified S-curve membership function (MF) as stated in an earlier chapter. The smooth and flexible logistic membership function (MF) finds out fuzz...

An analytical solution is presented that reconstructs residual stress field from limited and incomplete data.  The inverse problem of reconstructing residual stresses is solved using an appropriate form of the airy stress function.  This function is chosen to satisfy the stress equilibrium equations together with the boundary conditions for a domain within a convex polygon.  The analytical solu...

Abstract: This article focuses on obtaining analytical solutions for d-dimensional, parabolic Volterra integro-differential equations with different types of frictional memory kernel. Based on Laplace transform and Fourier transform theories, the properties of the Fox-H function and convolution theorem, analytical solutions for the equations in the infinite domain are derived under three fricti...

The key to designing a LED luminaire is the choice of secondary optics. The design process can be improved using analytical models and optimization tools. A modified approximation error (evaluation function) is introduced in the standard analytical model for spatial light distribution. It is shown that the new evaluation function provides better quality and consistency compared to the standard ...

Following the constant technological advancements that provide more processing power and storage capacity, scientific applications have emerged as a new field of interest for the database community. Such applications, termed Online Science Applications (OSA), require continuous interaction with datasets of multidimensional nature, mainly for performing statistical analysis. OSA can seriously be...