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RECENT RESEARCHES in APPLIED<br />
and COMPUTATIONAL<br />
MATHEMATICS<br />
International Conference on APPLIED and COMPUTATIONAL<br />
MATHEMATICS (ICACM '11)<br />
Lanzarote, Canary Islands, Spain<br />
May 27-29, 2011<br />
Published by WSEAS Press ISBN: 978-1-61804-002-2<br />
www.wseas.org ISSN: 2223-2877
RECENT RESEARCHES in APPLIED<br />
and COMPUTATIONAL<br />
MATHEMATICS<br />
International Conference on APPLIED and COMPUTATIONAL<br />
MATHEMATICS (ICACM '11)<br />
Lanzarote, Canary Islands, Spain<br />
May 27-29, 2011<br />
Published by WSEAS Press<br />
www.wseas.org<br />
Copyright © 2011, by WSEAS Press<br />
All the copyright of the present book belongs to the World Scientific and Engineering Academy and<br />
Society Press. All rights reserved. No part of this publication may be reproduced, stored in a retrieval<br />
system, or transmitted in any form or by any means, electronic, mechanical, photocopying, recording, or<br />
otherwise, without the prior written permission of the Editor of World Scientific and Engineering Academy<br />
and Society Press.<br />
All papers of the present volume were peer reviewed by two independent reviewers. Acceptance was<br />
granted when both reviewers' recommendations were positive.<br />
See also: http://www.worldses.org/review/index.html<br />
ISBN: 978-1-61804-002-2<br />
ISSN: 2223-2877<br />
World Scientific and Engineering Academy and Society<br />
European Society for Environmental Research<br />
and S<strong>us</strong>tainable Development
RECENT RESEARCHES in APPLIED<br />
and COMPUTATIONAL<br />
MATHEMATICS<br />
International Conference on APPLIED and COMPUTATIONAL<br />
MATHEMATICS (ICACM '11)<br />
Lanzarote, Canary Islands, Spain<br />
May 27-29, 2011
Editors:<br />
Prof. Vladimir Vasek, Tomas Bata University in Zlin, Czech Republic<br />
Prof. Yuriy Shmaliy, Guanajuato University, Mexico<br />
Prof. Denis Trcek, University of Ljubljana, Slovenia<br />
Prof. Nobuhiko P. Kobayashi, University of California Santa Cruz, USA<br />
Prof. Ryszard S. Choras, University of Technology & Life Sciences, Poland<br />
Prof. Zbigniew Klos, Poznan University of Technology, Poland<br />
International Program Committee Members:<br />
Joseph Sifakis, FRANCE<br />
Lotfi A. Zadeh,USA<br />
Leon O. Chua, USA<br />
K. R. Rao, USA<br />
Dimitri Bertsekas, USA<br />
Biswa N. Datta, USA<br />
Irwin Sandberg, USA<br />
P. Pardalos, USA<br />
A. Manikas, UK<br />
T. Kaczorek, POLAND<br />
Wlodzislaw Duch, POLAND<br />
Sidney Burr<strong>us</strong>, USA<br />
Leonid G. Kazovsky, USA<br />
Georgios B. Giannakis, USA<br />
Nikolaos G. Bourbakis, USA<br />
Brian A. Barsky, USA<br />
Ryszard S. Choras, POLAND<br />
Wasfy B. Mikhael, USA<br />
M. Kostic, USA<br />
A. Venetsanopoulos, Canada<br />
K. Benra, GERMANY<br />
S. Sohrab, USA
Recent Researches in Applied and Computational Mathematics<br />
Table of <strong>Contents</strong><br />
Numerical Results for the Blood Micro-Circulation Modelled by a Poro<strong>us</strong> Media 9<br />
Yvon Maday, Noura Morcos, Toni Sayah<br />
Mixed Number and Clifford Algebra 15<br />
Md. Shah Alam, Sabar Bauk<br />
Stabilization of Unstable Control System Via Design of Delayed Feedback 18<br />
G. A. Leonov, N. V. Kuznetsov, S. M. Seledzhi, M. M. Shumafov<br />
Localization of Hidden Attractors in Smooth Chua’s Systems 26<br />
N. V. Kuznetsov, V. I. Vagaitsev, G. A. Leonov, S. M. Seledzhi<br />
On Bayesian Equilibrium Pairs in Free Bayesian Abstract Economies 34<br />
Monica Patriche<br />
Accelerated Group Krylov Algorithms in 2D Elliptic Partial Differential Equation 42<br />
Norhashidah Hj. Mohd. Ali, Ng Kok Fu<br />
Asymptotic Solutions of a Fifth Order Model Equation for Steady Capillary-Gravity Waves over<br />
a Bump with the Bond Number Near 1/3<br />
Chung-Hsien Tsai, Shy-Jen Guo<br />
49<br />
Parametric Analysis of Entropy Generation in a Channel Filled with a Poro<strong>us</strong> Medium 54<br />
Dalia Sabina Cimpean, Ioan Pop<br />
Computational Method for Obtaining Filiform Lie Algebras of Arbitrary Dimension 60<br />
Manuel Ceballos, Juan Nunez, Angel F. Tenorio<br />
Low-Dimensional Filiform Lie Algebras over Finite Fields 66<br />
Oscar J. Falcon, Juan Nunez, Ana M. Pacheco, M. Trinidad Villar<br />
A Particular Type of Non-associative Algebras and Graph Theory 72<br />
Juan Nunez, Marithania Silvero, M. Trinidad Villar<br />
Finite Element and Analytical Fluid-Structure Interaction Analysis of the Pneumatically<br />
Actuated Diaphragm Microvalves<br />
H. Afrasiab, M. R. Movahhedy, A. Assempour<br />
78<br />
Determinants of Commercial Banks' Liquidity in the Czech Republic 92<br />
Pavla Vodova<br />
On the Critical Group of W3n 98<br />
Zahid Raza<br />
ISBN: 978-1-61804-002-2 7
Recent Researches in Applied and Computational Mathematics<br />
Flow Control in Twin Air-Intakes Using Vortex Generators 107<br />
Akshoy R. Paul, Pritanshu Ranjan, Ravi R. Upadhyay, Anuj Jain<br />
A New Correlation for Holdup in Gas-Solids Cyclone 117<br />
Anuj Jain, A. R. Paul, S. K. Aggarwal, B. Mohanty, B. P. Mani<br />
Hyers-Ulam Stability of a Generalized Trigonometric-Quadratic Functional Equation 127<br />
Charinthip Hengkrawit, Vichian Laohakosol, Janyarak Tongsomporn<br />
Identification Methods Over (Ea,b)^n 133<br />
Chillali Abdelhakim<br />
A New Modification of the HPM for the Duffing Equation with Cubic Nonlinearity 139<br />
Precio<strong>us</strong> Sibanda, Ahmed Khidir<br />
Admissibility Conditions and Asymptotic Behavior of Strongly Regular Graphs 144<br />
Vasco Moco Mano, Luis Antonio De Almeida Vieira<br />
The Universe Simulators Based on Measurement Standards Variability 151<br />
Vitaly O. Groppen<br />
Algebraic Solutions to Multidimensional Minimax Location Problems with Chebyshev Distance 157<br />
Nikolai Krivulin<br />
The Generalized Bin Packing Problem under Uncertainty 163<br />
Roberto Tadei, Guido Perboli<br />
Rob<strong>us</strong>t Power System Stabilizer Based Advanced Frequency Control Techniques 169<br />
Abdellatif Naceri, Mohamed Abid, Boubakeur Dehiba, Houria Bounoua<br />
Solving Sudoku Puzzles by Using Hopfield Neural Networks 174<br />
V. Mladenov, P. Karampelas, C. Pavlatos, E. Zirintsis<br />
The System of Indicators Used in Analysing the Degree of Multi-Serving More than One<br />
Workstation<br />
Dima Ioan Constantin, Grabara Jan<strong>us</strong>z, Goldbah Felix Constantin, Ciurea Virgil<br />
180<br />
Periodic Orbits Around L4 in the Photogravitational Restricted Problem with Oblate Primaries 189<br />
Amit Mittal, Rajiv Aggarwal, K. B. Bhatnagar<br />
Authors Index 195<br />
ISBN: 978-1-61804-002-2 8
Recent Researches in Applied and Computational Mathematics<br />
Authors Index<br />
Abdelhakim, C. 133 Mani, B. P. 117<br />
Abid, M. 169 Mano, V. M. 144<br />
Afrasiab, H. 78 Mittal, A. 189<br />
Aggarwal, R. 189 Mladenov, V. 174<br />
Aggarwal, S. K. 117 Mohanty, B. 117<br />
Alam, Md. S. 15 Morcos, N. 9<br />
Ali, N. H. M. 42 Movahhedy, M. R. 78<br />
Assempour, A. 78 Naceri, A. 169<br />
Bauk, S. 15 Nunez, J. 60, 66, 72<br />
Bhatnagar, K. B. 189 Pacheco, A. M. 66<br />
Bounoua, H. 169 Patriche, M. 34<br />
Ceballos, M. 60 Paul, A. R. 107, 117<br />
Cimpean, D. S. 54 Pavlatos, C. 174<br />
Ciurea, V. 180 Perboli, G. 163<br />
De Almeida Vieira, L. A. 144 Pop, I. 54<br />
Dehiba, B. 169 Ranjan, P. 107<br />
Dima, I. C. 180 Raza, Z. 98<br />
Falcon, O. J. 66 Sayah, T. 9<br />
Fu, N. K. 42 Seledzhi, S. M. 18, 26<br />
Goldbah, F. C. 180 Shumafov, M. M. 18<br />
Grabara, J. 180 Sibanda, P. 139<br />
Groppen, V. O. 151 Silvero, M. 72<br />
Guo, S.-J. 49 Tadei, R. 163<br />
Hengkrawit, C. 127 Tenorio, A. F. 60<br />
Jain, A. 107, 117 Tongsomporn, J. 127<br />
Karampelas, P. 174 Tsai, C.-H. 49<br />
Khidir, A. 139 Upadhyay, R. R. 107<br />
Krivulin, N. 157 Vagaitsev, V. I. 26<br />
Kuznetsov, N. V. 18, 26 Villar, M. T. 66, 72<br />
Laohakosol, V. 127 Vodova, P. 92<br />
Leonov, G. A. 18, 26 Zirintsis, E. 174<br />
Maday, Y. 9<br />
ISBN: 978-1-61804-002-2 195