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RECENT RESEARCHES in APPLIED and COMPUTATIONAL

MATHEMATICS

International Conference on APPLIED and COMPUTATIONAL MATHEMATICS (ICACM '11)

Lanzarote, Canary Islands, Spain May 27-29, 2011

Published by WSEAS Press ISBN: 978-1-61804-002-2

www.wseas.org

ISSN: 2223-2877

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RECENT RESEARCHES in APPLIED and COMPUTATIONAL

MATHEMATICS

International Conference on APPLIED and COMPUTATIONAL MATHEMATICS (ICACM '11)

Lanzarote, Canary Islands, Spain May 27-29, 2011

Published by WSEAS Press

www.wseas.org

Copyright © 2011, by WSEAS Press

All the copyright of the present book belongs to the World Scientific and Engineering Academy and Society Press. All rights reserved. No part of this publication may be reproduced, stored in a retrieval system, or transmitted in any form or by any means, electronic, mechanical, photocopying, recording, or otherwise, without the prior written permission of the Editor of World Scientific and Engineering Academy and Society Press.

All papers of the present volume were peer reviewed by two independent reviewers. Acceptance was granted when both reviewers' recommendations were positive.

See also: http://www.worldses.org/review/index.html

ISBN: 978-1-61804-002-2 ISSN: 2223-2877

European Society for Environmental Research

and Sustainable Development World Scientific and Engineering Academy and Society

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RECENT RESEARCHES in APPLIED and COMPUTATIONAL

MATHEMATICS

International Conference on APPLIED and COMPUTATIONAL MATHEMATICS (ICACM '11)

Lanzarote, Canary Islands, Spain

May 27-29, 2011

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Editors:

Prof. Vladimir Vasek, Tomas Bata University in Zlin, Czech Republic Prof. Yuriy Shmaliy, Guanajuato University, Mexico

Prof. Denis Trcek, University of Ljubljana, Slovenia

Prof. Nobuhiko P. Kobayashi, University of California Santa Cruz, USA Prof. Ryszard S. Choras, University of Technology & Life Sciences, Poland Prof. Zbigniew Klos, Poznan University of Technology, Poland

International Program Committee Members:

Joseph Sifakis, FRANCE Lotfi A. Zadeh,USA Leon O. Chua, USA K. R. Rao, USA

Dimitri Bertsekas, USA Biswa N. Datta, USA Irwin Sandberg, USA P. Pardalos, USA A. Manikas, UK T. Kaczorek, POLAND Wlodzislaw Duch, POLAND Sidney Burrus, USA

Leonid G. Kazovsky, USA Georgios B. Giannakis, USA Nikolaos G. Bourbakis, USA Brian A. Barsky, USA Ryszard S. Choras, POLAND Wasfy B. Mikhael, USA M. Kostic, USA

A. Venetsanopoulos, Canada K. Benra, GERMANY S. Sohrab, USA

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Table of Contents

Numerical Results for the Blood Micro-Circulation Modelled by a Porous Media 9 Yvon Maday, Noura Morcos, Toni Sayah

Mixed Number and Clifford Algebra 15

Md. Shah Alam, Sabar Bauk

Stabilization of Unstable Control System Via Design of Delayed Feedback 18 G. A. Leonov, N. V. Kuznetsov, S. M. Seledzhi, M. M. Shumafov

Localization of Hidden Attractors in Smooth Chua’s Systems 26

N. V. Kuznetsov, V. I. Vagaitsev, G. A. Leonov, S. M. Seledzhi

On Bayesian Equilibrium Pairs in Free Bayesian Abstract Economies 34 Monica Patriche

Accelerated Group Krylov Algorithms in 2D Elliptic Partial Differential Equation 42 Norhashidah Hj. Mohd. Ali, Ng Kok Fu

Asymptotic Solutions of a Fifth Order Model Equation for Steady Capillary-Gravity Waves over a Bump with the Bond Number Near 1/3

49 Chung-Hsien Tsai, Shy-Jen Guo

Parametric Analysis of Entropy Generation in a Channel Filled with a Porous Medium 54 Dalia Sabina Cimpean, Ioan Pop

Computational Method for Obtaining Filiform Lie Algebras of Arbitrary Dimension 60 Manuel Ceballos, Juan Nunez, Angel F. Tenorio

Low-Dimensional Filiform Lie Algebras over Finite Fields 66

Oscar J. Falcon, Juan Nunez, Ana M. Pacheco, M. Trinidad Villar

A Particular Type of Non-associative Algebras and Graph Theory 72 Juan Nunez, Marithania Silvero, M. Trinidad Villar

Finite Element and Analytical Fluid-Structure Interaction Analysis of the Pneumatically Actuated Diaphragm Microvalves

78 H. Afrasiab, M. R. Movahhedy, A. Assempour

Determinants of Commercial Banks' Liquidity in the Czech Republic 92 Pavla Vodova

On the Critical Group of W3n 98

Zahid Raza

Recent Researches in Applied and Computational Mathematics

ISBN: 978-1-61804-002-2 7

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Flow Control in Twin Air-Intakes Using Vortex Generators 107 Akshoy R. Paul, Pritanshu Ranjan, Ravi R. Upadhyay, Anuj Jain

A New Correlation for Holdup in Gas-Solids Cyclone 117

Anuj Jain, A. R. Paul, S. K. Aggarwal, B. Mohanty, B. P. Mani

Hyers-Ulam Stability of a Generalized Trigonometric-Quadratic Functional Equation 127 Charinthip Hengkrawit, Vichian Laohakosol, Janyarak Tongsomporn

Identification Methods Over (Ea,b)^n 133

Chillali Abdelhakim

A New Modification of the HPM for the Duffing Equation with Cubic Nonlinearity 139 Precious Sibanda, Ahmed Khidir

Admissibility Conditions and Asymptotic Behavior of Strongly Regular Graphs 144 Vasco Moco Mano, Luis Antonio De Almeida Vieira

The Universe Simulators Based on Measurement Standards Variability 151 Vitaly O. Groppen

Algebraic Solutions to Multidimensional Minimax Location Problems with Chebyshev Distance 157 Nikolai Krivulin

The Generalized Bin Packing Problem under Uncertainty 163

Roberto Tadei, Guido Perboli

Robust Power System Stabilizer Based Advanced Frequency Control Techniques 169 Abdellatif Naceri, Mohamed Abid, Boubakeur Dehiba, Houria Bounoua

Solving Sudoku Puzzles by Using Hopfield Neural Networks 174

V. Mladenov, P. Karampelas, C. Pavlatos, E. Zirintsis

The System of Indicators Used in Analysing the Degree of Multi-Serving More than One Workstation

180 Dima Ioan Constantin, Grabara Janusz, Goldbah Felix Constantin, Ciurea Virgil

Periodic Orbits Around L4 in the Photogravitational Restricted Problem with Oblate Primaries 189 Amit Mittal, Rajiv Aggarwal, K. B. Bhatnagar

Authors Index 195

Recent Researches in Applied and Computational Mathematics

ISBN: 978-1-61804-002-2 8

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Authors Index

Abdelhakim, C. 133 Mani, B. P. 117

Abid, M. 169 Mano, V. M. 144

Afrasiab, H. 78 Mittal, A. 189

Aggarwal, R. 189 Mladenov, V. 174 Aggarwal, S. K. 117 Mohanty, B. 117

Alam, Md. S. 15 Morcos, N. 9

Ali, N. H. M. 42 Movahhedy, M. R. 78

Assempour, A. 78 Naceri, A. 169

Bauk, S. 15 Nunez, J. 60, 66, 72

Bhatnagar, K. B. 189 Pacheco, A. M. 66

Bounoua, H. 169 Patriche, M. 34

Ceballos, M. 60 Paul, A. R. 107, 117 Cimpean, D. S. 54 Pavlatos, C. 174

Ciurea, V. 180 Perboli, G. 163

De Almeida Vieira, L. A. 144 Pop, I. 54

Dehiba, B. 169 Ranjan, P. 107

Dima, I. C. 180 Raza, Z. 98

Falcon, O. J. 66 Sayah, T. 9

Fu, N. K. 42 Seledzhi, S. M. 18, 26 Goldbah, F. C. 180 Shumafov, M. M. 18

Grabara, J. 180 Sibanda, P. 139

Groppen, V. O. 151 Silvero, M. 72

Guo, S.-J. 49 Tadei, R. 163

Hengkrawit, C. 127 Tenorio, A. F. 60 Jain, A. 107, 117 Tongsomporn, J. 127 Karampelas, P. 174 Tsai, C.-H. 49 Khidir, A. 139 Upadhyay, R. R. 107 Krivulin, N. 157 Vagaitsev, V. I. 26 Kuznetsov, N. V. 18, 26 Villar, M. T. 66, 72

Laohakosol, V. 127 Vodova, P. 92

Leonov, G. A. 18, 26 Zirintsis, E. 174

Maday, Y. 9

Recent Researches in Applied and Computational Mathematics

ISBN: 978-1-61804-002-2 195

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