In this paper, a modification of finite integration method (FIM) is combined with the radial basis function (RBF) method to solve a time-fractional convection-diffusion equation with variable coefficients. The FIM transforms partial differential equations into integral equations and this creates some constants of integration. Unlike the usual FIM, the proposed method computes constants of integ...

Let f(z) be a function analytic in the complex domain C+∪C−∪(−1,+∞), real for real z and such that f(z), f2(z) are anti-Herglotz functions. In this paper we show that f(z) possesses simple upper and lower bounds given by rational functions. Our main tool is the analytic theory of continued fractions. An application to the theory of solutions of the Feigenbaum-Cvitanović equation is given.

We present a simple protocol for two-player secure circuit evaluation. The protocol enables players C and D to cooperate in the computation of f(x) while D conceals her data x from C and C conceals his circuit for f from D. The protocol is based on the technique of hiding information from an oracle [Abadi, Feigenbaum, Kilian, J. Comput. System Sci. 39(1):21{50, August, 1989].

In this paper, we develop a new approach to the construction of solutions of the Feigenbaum-Cvitanović equation whose existence was shown by H. Epstein. Our main tool is the analytic theory of continued fractions.

the dimerization constants of safranine t have been determined by studying the dependence of its absorption spectra on the temperature in the range 30–70 ◦c at different total concentrations of safranine t (1.03×10−5, 1.44×10−5 and 1.73×10−5 m). the monomer–dimer equilibrium of safranine t has been determined by applying mcr-als method on the absorption spectra. the quantitative analysis of the...

a theoretical solution is presented for the forced convection heat transfer of a viscoelastic fluid obeying the giesekus constitutive equation in a concentric annulus under steady state, laminar, and purely tangential flow. a relative rotational motion exists between the inner and the outer cylinders, which induces the flow. a constant temperature was set in both cylinders, in this study. the f...

A compact expression for the generating function of the constants of motion for the nonlinear Schrödinger equation is derived using the functional representation of the AKNS hierarchy.

It is shown that the celebrated Menelaus relation and Fay's trisecant formula similar to the WDVV equation are associativity conditions for structure constants of certain three-dimensional algebra.

It is shown that the celebrated Menelaus relation and Fay's trisecant formula similar to the WDVV equation are associativity conditions for structure constants of certain three-dimensional algebra.

This study makes use of the Tsallis entropy to predict the shear stress distribution. Given a definition of the Tsallis entropy, it is maximized by using the probability density function, which then is used to attain a novel shear stress equation. This is then employed for calculating the shear stress distribution in rectangular channels in different aspect ratios and finally, for viability, th...