Abstract In the paper, we study approximation properties of Malmquist-Takenaka-Christov (MTC) system. We show that discrete MTC approximations converge rapidly under mild restrictions on functions asymptotic at infinity. This makes them particularly suitable for solving semi- and quasi-linear problems containing Fourier multipliers, whose symbols are not smooth origin. As a concrete application...

and Eulerian pictures of the kinematics of mixing in granular flows Ivan C. Christov, Julio M. Ottino, and Richard M. Lueptow Department of Engineering Sciences and Applied Mathematics, Northwestern University, Evanston, Illinois 60208, USA Department of Mechanical Engineering, Northwestern University, Evanston, Illinois 60208, USA Department of Chemical and Biological Engineering, Northwestern...

Two-dimensional stretched flow of Jeffrey fluid in view of Cattaneo-Christov heat flux is addressed. Effects of homogeneous-heterogeneous reactions are also considered. Suitable transformations are used to form ordinary differential equations. Convergent series solutions are computed. Impact of significant parameters on the velocity, temperature, concentration and skin friction coefficient is a...

This paper examines the transport of a chemically reacting nanofluid in porous medium between two rotary disks with Cattaneo-Christov?s heat flux. The non-linear ordinary differential system formed under Vonn Karman transformation partial is solved via shooting method MATLAB bvp4c. thermodynamics profiles variation physical properties thermal relaxation time, radiation, porosity, and chemical r...

A mapping method for distributive mixing with diffusion: Interplay between chaos and diffusion in time-periodic sine flow Conor P. Schlick,1,a) Ivan C. Christov,1,2,b) Paul B. Umbanhowar,3 Julio M. Ottino,2,3,4 and Richard M. Lueptow3,4,c) 1Department of Engineering Sciences and Applied Mathematics, Northwestern University, Evanston, Illinois 60208, USA 2Department of Chemical and Biological En...

In biometric recognition based on Electrocardiographic (ECG) signals, there are two main approaches for feature extraction: fiducial and non-fiducial. Fiducial methods use points of interest within single heartbeat waveforms, obtained by segmenting the ECG signal using QRS complexes as a reference. In this paper we study several QRS detection algorithms, with the purpose of determining what is ...

Computation of solitons of the cubically-nonlinear Benjamin–Ono equation is challenging. First, the equation contains the Hilbert transform, a nonlocal integral operator. Second, its solitary waves decay only as O(1/jxj). To solve the integro-differential equation for waves traveling at a phase speed c, we introduced the artificial homotopy H(uXX) c u + (1 d)u + du = 0, d 2 [0,1] and solved it ...