**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

**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

**RECENT RESEARCHES in APPLIED ** **and COMPUTATIONAL **

**MATHEMATICS **

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

**Lanzarote, Canary Islands, Spain **

**May 27-29, 2011 **

**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

**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

**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

**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