Volume 12

Modified Finite Integration Method Using Chebyshev Polynomial for Solving Linear Differential Equations

Issues 3-4 Volume 12

R. Boonklurb1, A. Duangpan2 and T. Treeyaprasert3 1,2Department of Mathematics and Computer Science, Faculty of Science, Chulalongkorn University, Bangkok 10330, Thailand 3Department of Mathematics and Statistics, Thammasat University, Rangsit Center, Pathumthani 12120, Thailand Received 10 January 2018; accepted in revised form 27 August 2018 Abstract: We propose a modified finite integration method (FIM) by using […]

A parallelizable sequential method for the Biot system

Issues 3-4 Volume 12

N. Chaabane1,a, B. Rivi erea, Mikhail Sekachevb and Henri Calandrab aCAAM department, Rice University bTotal E&P Research & Technology USA, LLC 1E-mail: nc33@rice.edu Abstract: In [7], a sequential approach was introduced to solve the Biot system where the pressure and displacement variables are decoupled. A stabilization term was added and the discontinuous Galerkin method was

A Comparative Study of Mathematical Models with Two Transmission Modes for Hiv Dynamics And Treatment

Issues 3-4 Volume 12

NICOLETA E. TARFULEA DEPARTMENT OF MATHEMATICS, PURDUE UNIVERSITY NORTHWEST, USA Abstract. HIV can infect cells via cell-to-cell and virus-to-cell transmissions. These two types of transmission may occur in a combined way and enable viral spread. In this paper, we investigate analytically and numerically the influence of these two transmission modes, as well as the viral

THE CONCEPT OF DESIGNING AN INTELLECTUAL ROBOT CONTROL SYSTEM BASED ON THE MATHEMATICAL MODEL OF COGNITIVE DIGITAL AUTOMATA

Issues 3-4 Volume 12

V.V.Kozhevnikov1, B.M.Kostishko1, M.Yu.Leontev1, E.R.Mingachev1, S.V.Pavlov2, V.V.Prikhodko1 1S.P. Kapitsa Technological Research Institute of Ulyanovsk State University, Ulyanovsk, Russia 2Sosny Research and Development Company, Dimitrovgrad, Ulyanovsk region, Russia Received: 10 November 2018; accepted in revised form: 04 December 2018 Abstract. An intellectual control system (ICS) to control robots can be built (designed) on the basis of the

Toward a preconditioned scalable 3DVAR for assimilating Sea Surface Temperature collected into the Caspian Sea

Issues 1-2 Volume 12

R. Arcucciab1, L.Carracciuoloc and R.Toumid a: University of Naples Federico II, Naples, Italy b: Euro Mediterranean Center on Climate Change, Italy c: National Research Council, Naples, Italy d: Imperial College London, London, United Kingdom Received 1 February, 2017; accepted in revised form 03 April, 2018 Abstract: Data Assimilation (DA) is an uncertainty quanti cation technique

PRINCIPAL DIRECTIONS OF DEVELOPING THE DESIGN METHODS FOR INTELLIGENT SYSTEMS TO CONTROL ROBOTS

Issues 1-2 Volume 12

V.V. Kozhevnikov1, V.V. Prikhodko1, V.V. Svetukhin1, A.V. Zhukov1, A.N. Fomin1, M.Yu. Leontyev1, D.Ya. Vostretsov1, A.A. Sobolev1, V.I. Skrebtsov1, V.E. Kiryukhin1, V.V. Levschanov1, D.S. Lavygin1, E.M. Chavkin1, E.R. Mingachev1, R.G. Bildanov1, S.V. Pavlov2, V.N. Kovalnogov1 1 S.P. Kapitsa Research Institute of Technology (Technological Research Institute) of Ulyanovsk State University, Ulyanovsk, Russia 2 Sosny Research and Development

Application of the Fractional Calculus to the Radial Schr�dinger Equation given by the Makarov Potential

Issues 1-2 Volume 12

O. Ozturk Department of Mathematics, Faculty of Arts and Sciences, Bitlis Eren University, 13000 Bitlis, Turkey Received 10 October, 2016; accepted in revised form 22 March, 2018 Abstract: Fractional calculus and its generalizations are used for the solutions of some classes of differential equations and fractional differential equations. In this paper, our aim is to

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