Plenary Lecture I On the Solutions of Differential Equations Involving p-Laplacian and Pseudolaplacian Professor Gabriella Bognar University of Miskolc, Hungary matvbg@uni-miskolc.hu Abstract: Brief Biography of the speaker: Not available, contact matvbg@uni-miskolc.hu Plenary Lecture II Multi-Time Optimal Control Professor Constantin Udriste University Politehnica of Bucharest Faculty of Applied Sciences Department of Mathematics, Splaiul Independentei 313 Bucharest 060042, Romania Abstract: This lecture joins some concepts (adjointness, Hamiltonian systems, duality, Riemannian manifolds) that appears in Mechanics, Field Theory, Differential Geometry, and Control Theory in order to create a multi-time maximum principle.Near the classical theory we introduce new types of Euler-Lagrange or Hamilton PDEs for optimal control problems with performance criteria involving curvilinear or multiple integrals and evolutions of multidimensional flow type. The main novel feature of the anti-trace multi-time Euler-Lagrange or Hamilton PDEs is that they are connected to the multi-time maximum principle. The topics include: variational calculus with gradient variations and curvilinear or multiple integral functionals, properties of multi-time Euler-Lagrange operator (changing of the Lagrangian by addition and multiplication, anti-trace multi-time Euler-Lagrange PDEs and new conservation laws), the conversion to multi-time Hamilton PDEs (canonical variables, first kind and second kind of anti-trace multi-time Hamilton PDEs), the multi-time maximum principle approach of anti-trace multi-time Euler-Lagrange or Hamilton PDEs. Brief Biography of the speaker: Constantin Udriste was born in Turceni, Gorj, Romania on January 22, 1940. He earned his professor title from University of Timisoara in 1963 and his PhD from University Babes-Bolyai from Cluj-Napoca in 1971. Now he is Full Professor of Mathematics and Dean of the Faculty of Applied Sciences at University Politehnica of Bucharest. Also it is President of Balkan Society of Geometers. Professor Udriste has served on many advisory committees and editorial boards, and was the main organizer of over 10 International Mathematical Meetings. He is author and contributor of over 40 books, over 200 articles to mathematical journals and over 200 papers to mathematical meetings. Topics: group of motion, properties of the tangent bundle, almost coquaternion metric manifolds, variational calculus on Riemannian manifolds, Finsler-Lagrange-Hamilton manifolds, Riemannian convexity and optimization, magnetic dynamical systems, geometric dynamics and optimal control, the theory of spatial mechanisms, solar tower concentrator. A person of incredible energy and entusiasm, Udriste has trained 12 PhD students, many of whom are now faculty members. Prof. Udriste has been the recipient of the following honors and awards: Dragomir Hurmuzescu Prize, Academy of Romania, 1985; Award for Distinguished Didactic and Scientific Activity, Ministry of Education and Instruction of Romania, 1988; Correspondent Member of the Academia Peloritana dei Pericolanti, 1997-; Member Research Board of Advisors, ABI, 1999-. Prize COPIRO - 2000 for Exact Sciences; Premio Anassilaos International 2002, Arte Cultura Scienze. Plenary Lecture III Recent Developments In The Fluctuation Expansion Of Univariate Functions’ Matrix Representations Professor Metin Demiralp Informatics Institute Istanbul Technical University ITU Bilisim Enstitusu Ayazaga Yerleskesi Maslak, 34469, Istanbul, Turkey Abstract: The matrix representations of univariate or multivariate functions play important roles in many mathematical applications of sciences and in many engineering problems. They are mostly employed to truncate infinite dimensional problems for approximations. The residual terms can be, in principle, suppressed as long as there is convergence which depends on the choice of the basis set of the Hilbert space constructed for the problem under consideration. The best basis set choice, of course, is the one which diagonalizes the matrix representation. However it is the main difficulty in these problems. Hence, a new way is needed to reflect the omitted terms’ contributions to the truncated matrix representation. This has been done, at least, in one way which is called “Fluctuation Expansion”. A very important practical fact is revealed through this new concept: “A truncated matrix representation of a univariate function can be efficiently approximated, within quite high precision, by a matrix which is the image of the independent variable’s same type truncated matrix representation under the considered univariate function”. This is called Fluctuationless Approximation. The fluctuationless approximation can also be improved by adding correction terms which contain certain type universal matrices, fluctuation matrices. The construction of these terms was quite cumbersome and containing infinite series which cause new trun- cation errors. Our recent efforts have changed this undesirable structures to compact analytical ones by using Cauchy theorem of complex analysis through certain appropriate operator argumented contour integrals. The geometric series expansion of the kernels of these integrals, and, the separation to rather simple matrix inverses and the going back via Cauchy theorem again enable us to get compact formulae for the fluctuation involving correction terms. This presentation focuses on certain level details of this procedure. Brief Biography of the speaker: Metin Demiralp was born in Turkey on 4 May 1948. His education from elementary school to university was all in Turkey. He got his BS, MS, and PhD from the same institution, Istanbul Technical University. He was originally chemical engineer, however, through theoretical chemistry, applied mathematics, and computational science years he is working on methodology for computational sciences. He has a group (Group for Science and Methods of Computing) in Informatics Institute of Istanbul Technical University (he is the founder of this institute). He collaborated with the Prof. H. A. Rabitz's group at Princeton University (NJ, USA) at summer and winter semester breaks during the period 1985--2003 after his 14 months long postdoctoral visit to same group in 1979--1980.Metin Demiralp has roughly 70 papers in well known scientific journals and is the full member of Turkish Academy of Sciences ince 1994. He is also a member of European Mathematical Society and the chief--editor of WSEAS Transactions on Mathematics currently. He has also two important awards of Turkish scientific establishments. Plenary Lecture IV Extended Surfaces Heat Transfer Processes – Class of Approximate and Exact Solutions Professor Andris Buikis Institute of Mathematics and Computer Science University of Latvia, Raina bulv. 29, Riga, LV1459, LATVIA E-mail: buikis@latnet.lv Abstract: Systems with extended surfaces (with fins and/or spines) have very broad field of applications: from space apparatus, engines, conditioners, fridges etc. to cooling systems for microchips of PC. From praxis point of view the mathematical description (mathematical models) must be formulated as conjugated problem. In other words, the determination of temperature fields in solid system with extended surfaces can’t be disconnected from the calculation of the temperature and hydrodynamic fields in the flowing around of the system media (gas or fluid). It means that the boundary conditions on the surface of the system are essentially non-homogeneous. In this talk there is presented an original (based on the Green function’s method) approach for the determination of the exact solutions in the systems with extended surfaces of quite complicated geometrical and thermal structure. This approach is applicable for both - steady-state and transient processes and it reduces the problem for the partial differential equations to the system of the 2nd kind Fredholm integral equations (the number of integral equations is equal to the number of canonical elements in the systems with extended surfaces). Brief Biography of the speaker: From http://www.lza.lv/scientists/buikis.htm Experience: Junior Researcher, Senior Researcher, Computing Centre, University of Latvia, 1962 - 1972 . Assistant Professor and Head of Chair of Applied Mathematics, Faculty of Physics and Mathematics, University of Latvia, 1972 - 1976 . Assistant Professor and Head of Chair of Differential Equations and Numerical Methods, Faculty of Physics and Mathematics, University of Latvia, 1976 - 1984 . Senior Researcher, Faculty of Physics and Mathematics, University of Latvia, 1984 - 1986 . Assistant Professor, Chair of Differential Equations and Numerical Methods, Faculty of Physics and Mathematics, University of Latvia, 1986 - 1988 . Senior Researcher, Head of Laboratory of Mathematical Physics, Institute of Physics, Latvian Academy of Sciences, 1988 - 1991 . Director, Institute of Mathematics, Latvian Academy of Sciences and Latvian University, 1991 - 1996; 2003 - . Head of Laboratory of Mathematical Physics and Head of Scientific Council, Institute of Mathematics, 1996 - . Director, Science and Dialogue Centre of Latvia, 1993 - . Head of Laboratory of Mathematical Physics (1996 - ) and Head of Scientific Council (1996 – 2003), Institute of Mathematics, Latvian Academy of Sciences and Latvian University . Honours and Awards: Corresponding Member, Latvian Academy of Sciences, 1992 - 1997 . Full Member, Latvian Academy of Sciences, 1997 . The Latvian Academy of Sciences Piers Bohl Prize for a cycle of papers “Method of Conservative Averaging, Theory and Applications”, 2005 . Member of Board, Soros Foundation - Latvia, 1997 . Head of "Spidola" Council, Culture Foundation of Latvia, 1987 - 1992 . Member of Board, Vidzemes University College, 1996 - 1998 . Professional Activties and Memberships: Member, Senate of the Latvian Academy of Sciences, 1994 - , Member, Vidzeme University College Advisory Board, 1997-2002, Vice-Chairman (in Mathematics), Latvian Council of Science Expert Committee on "Physics, Mathematics & Astronomy", 1991 - 1993 . Chairman, Promotion Council for Mathematics, 1992 - . Member, Editorial Advisory Board for Proceedings of the Latvian Academy of Sciences, 1988-1995 . Member, Editorial Advisory Board for Mathematical Modelling and Analysis, 1999- . Member, Editorial Advisory Board for Computational Methods in Applied Mathematics, 2000- . Member of Editorial Advisory Board, journal Mathematical Modelling and Analysis (The Baltic Journal on Mathematical Applications, Numerical Analysis and Differential Equations), Lithuania, 1999- . Editor, Progress in Industrial Mathematics at ECMI 2002 , Springer . Member, Editorial Board for International Journal of Applied Mathematical Sciences (IJAMS), 2004 - . Member, Gesellschaft Angewandte Matematik und Mechanik, Germany 1991 - . Member, International Sociological Association, 1998-2002 . Member, Americal Mathematical Society, 1999 . Holder of state capital share at The Latvian Institute, 1998 -2004 . Member, American Mathematical Society, 1999 -
Differential Equations & Applications	5
Similarity solutions of a MHD boundary–layer flow of a non-Newtonian fluid past a continuous moving surface	7
Mohamed Benlahcen, Mohamed Guedda, Abdelilah Hakim, Zouhir Mahani

On the radial solutions for some nonlinear initial value problems	13
Gabriella Bognar, Erika Rozgonyi

Dependence on Initial Conditions of Oscillator Displacement Modulated by Parametric Noise	19
Nobutoshi Ikeda

On the first integrals of KdV equation and the trace formulas of Deift-Trubowitz type	25
Mayumi Ohmiya, Yu Yamamoto

Arbitrary Lagrangian-Eulerian method for coupled Navier-Stokes and convection-diffusion equations with moving boundaries	31
Liliana Braescu, Thomas F. George

Boundary estimates for solutions of non-homogeneous boundary value problems on graphs	37
Sonja Currie, Bruce Watson

Conversion of Matrix ODEs to Certain Universal and Easily Handlable Forms Via Space Extension	43
Sevda Uskuplu, Metin Demiralp

Mathematical Modeling of Boundary Layer Flow Over a Moving Thin Needle With Variable Heat Flux	48
Syakila Ahmad,Norihan Md. Arifin,Roslinda Nazar,Ioan Pop

Dynamic Stability and Commands Response Study Method	54
Marmureanu Marius, Rotariu Adrian, Tudor Chereches,Zecheru Teodra

Magnetostatic Field Calculations Associated With Thick Solenoids in the Presence of Iron using a Power Series expansion and the Complete Elliptic Integrals	58
Vasos Pavlika

Exact 3-D Solution for System with Rectangular Fin, Part 1	64
Andris Buikis, Margarita Buike

Exact 3-D Solution for System with Rectangular Fins, Part 2	70
Andris Buikis, Margarita Buike

Gene regulatory networks with incorporated delay	76
Arcady Ponosov, Andrei Shindiapin, Jose Joao Miguel

On the Saint-Venant Problem in a Doubly Connected Domain	82
L. Ragoub

On Competition Between Modes of the Onset of Marangoni with free-slip Bottom under magnetic field	87
Norihan Md. Arifin and Haliza Rosali

Algorithms & Applications	93
A new model of projectile ballistic acceleration process based on closed vessel experimental data	95
Adrian Rotariu, Marius Valeriu Cirmaci, Vasile Nutu, Lucian Istode & Tiganescu Viorel

Parallel Algorithm for Finding the Minimum Edges to Build a Strongly Connected Directed Graph	100
Akio Tada, Eiichi Mukai, Masahiro Migita, Tsuyoshi Itokawa

Maintenance of the Prelarge Trees for Record Deletion	105
Chun-Wei Lin, Tzung-Pei Hong, Wen-Hsiang Lu

Numerical Analysis & Applications	111
Special Session: Theory of Approximation and Orthogonal Polynomials: Smoothing and Approximation of Functions and Properties of Orthogonal polynomials and their Generating Functions.	112
Chairman: Prof. Abdullah Altin, Co-Chairman: Ass. Prof. Ogen Dogru

Approximation By Kantorovich Type q-Bernstein Operators	113
Özge Dalmanoglu

A Generating Function and Some Recurrence Relations for a Family of Polynomials	118
Rabia Aktas and Abdullah Altin

Approximation Properties of Bivariate Generalization of Bleimann-Butzer and Hahn Operators Based on the q-integers	122
Sibel Ersan

Necessary Conditions To Obtain Voronovskaja Type Asymptotic Formulae Via Statistical Limit	128
Ogun Dogru
End of the Special Session	132
Computational Complexity Investigations for High Dimensional Model Representation Algorithms Used in Multivariate Interpolation Problems	133
Mehmet Alper Tunga,Metin Demiralp

Function Approximation Using Artificial Neural Networks	140
Zarita Zainuddin, Ong Pauline

The Zero Interval Limit Spectrum of a Truncated Fluctuation Matrix on a Univariate Function Type Multiplicative Algebraic Operator over the Relevant Hilbert Space	146
Irem Yaman, Metin Demiralp

The Influence of the Peak Location on the Additivity of the High Dimensional Model Representation	152
Caner Gulpinar, N.Abdulbaki Baykara, Metin Demiralp

A Novel Hybrid High Dimensional Model Representation (HHDMR) Based on yhe Combination of Plain and Logarithmic High Dimensional Model Representations	157
Burcu Tunga , Metin Demiralp

Modified Explicit Decoupled Group Method in the solution of 2-D elliptic PDEs	162
Norhashidah Hj. M. Ali & Ng Kok fu

Turbulent Modeling Effects on Finite Volume Solution of Three Dimensional Aerated Hydraulic Jumps Using Volume of Fluid	168
Saeed-Reza Sabbagh-Yazdi, Fatemeh Rostami, Nikos E. Mastorakis

Boundedness of a Batch Gradient Method With Penalty for Feedforward Neural Networks	175
Huisheng Zhang, Wei Wu, Mingchen Yao

Using Wavelet Transform on Suspended Particulate Matter (PM10) and Meteorological Time Series	179
Mokhtar Shaharuddin, Azami Zaharim, Mohd Jailani Mohd Nor, Othman A. Karim,Kamaruzzaman Sopian

The Parallel Three-Processor Fifth Order Diagonally Implicit Runge-Kutta Methods for Solving Ordinary Differential Equations	184
Ummul Khair Salma Din, Fudziah Ismail, Mohamed Suleiman, Zanariah Abdul Majid, Mohamed Othman

Investigation of Characteristics of Separation Zones in T-Junctions	189
Hamid Shamloo, Bahareh Pirzadeh

Numerical investigation of Velocity Field in Dividing Open-Channel Flow	194
Hamid Shamloo, Bahareh Pirzadeh

Wall Shear Stress and Atherosclerosis: Numerical Blood Flow Simulations in the Mouse Aortic Arch	199
P. Ruengsakulrach , A. K. Joshi, S. Fremes, J. Butany, S. Foster, B. Wiwatanapataphee, Y. Lenbury

Application of scaled boundary finite element method on soil-structure interaction – two dimensions dynamic coupled consolidation analysis of fully saturated soils	208
Mahmoud Hassanen

Optimization & Applications	215
Geometrical k-cut Problem and an Optimal Solution for Hypercubes	217
Sang-young Cho

Incorporating Psychology Model of Emotion into Ant Colony Optimization Algorithm	222
Jiann-Horng Lin, Meei-Ru Lin, Chain-Hao Lee

Support Vector Machines based Arabic Language Text Classification System: Feature Selection Comparative Study	228
Abdelwadood Moh'd Mesleh

Optimal Operational Strategy For Hybrid Renewable Energy System Using Genetic Algorithms	235
Juhari Ab. Razak, Kamaruzzaman Sopian, Zulkifli Mohd Nopiah, Azami Zaharim, Yusoff Ali

A Multistage Mean/Variance approach for Portfolio Management in the Mexican Market	241
Maria A. Osorio, Ana Ballinas, Erika Jiménez, Abraham Sánchez

A pseudo-convex minlp approach for industrial problems	247
Stefan Emet

Discrete Mathematics & Applications	251
Winning Strategies for Hexagonal Polyomino Achievement	252
Kazumine Inagaki, Akihiro Matsuura

An Improved Assignment Algorithm Based Rotational Angular Sorting Methods	260
Qiang Hua, Bin Wu, Liang Chen

Fuzzy Chromatic Number and Fuzzy Defining Number of Certain Fuzzy Graphs	266
M.M.Pourpasha , M.R. Soheilifar

Theory and Application of Probabilities, Statistics & Operational Research	271
Improved State Estimation of Stochastic Systems	273
Nicholas Nechval,Gundars Berzins,Maris Purgailis, Maris Purgailis

The Sequential Frequency Assignment Process	280
Sjoert Fleurke, Herold Dehling

Volumetric Stem Biomass Modelling Using Multiple Regression	286
Noraini Abdullah, Zainodin Hj.Jubok and Nigel Jonney J.B.

An alternative diagramatical representation of wind data	292
Fakhrulrozi Hussain, Yong Zulina Zubairi, Abdul Ghapor Hussin

Approach to Conservation laws based on Bayes group generators and its geodesic flow.	295
Manouchehr Amiri

Fuzzy approach to Semi-parametric sample selection model	307
Muhamad Safiih Lola, Anton Abdulbasah Kamil, Abu Osman M. T.

Fuzzy Semi-Parametric Sample Selection Model For Participation of Married Women	313
Muhamad Safiih Lola, Anton Abdulbasah Kamil, Abu Osman M. T.

Social Network Probability Mechanics	319
Ian McCulloh, Joshua Lospinoso, Kathleen Carley

Correlation Analysis on Water Quality Parameter with Aquatic Insects Abundance in Telipok River, Sabah, Malaysia	324
Kamsia Budin, Amran Ahmed, Noraini Abdullah, Maryam Dawalih

Estimation of Flow Rates In Naturally Ventilated Buildings Using Simplified Method	328
Zahari Ibrahim, Kamaruzzaman Sopian, Azami Zaharim, M.A. Ghoul, Baharudin Ali

Application of Logistic Regression Model in Rasch Measurement to establish a Performance Index: A case study in Audits on Malaysian Institutions of Higher Learning	334
Razimah Abdullah , Rosmawati Abd Halim , Azami Zaharim,Rozeha A Rashid and Mohd Saidfudin Masodi

Approximation method in Finding Optimum Stratum Depending on Neyman Allocation Applied on Beta Distribution	341
Ahmad Mahir R., Al-Khazaleh A. M. H., Al-Kassab M. M. T.

Space-Time Mixture Model of Infant Mortality in Peninsular Malaysia from 1990-2000	346
Nuzlinda Abdul Rahman, Abdul Aziz Jemain

Statistical Analysis on Students’ Performance on ST2063 Statistical Programming Package for Semester 2 2006/2007 Session: A Comparative Analysis on Gender, Programme, Status and Year of Study	353
Suriani Hassan, Fauziah Sulaiman, Khadizah Ghazali, Siti Rahayu Mohd Hashim, Zainodin Haji Jubok

Special Session: Industrial Applications of Operations Research Organized by Prof Ekrem Duman, Dogus Universty, Turkey	359
Chairman: Prof Ekrem Duman, Co-Chair Dr. M.Bayram Yildrim, Prof Fusun Ulengin, Assoc. Prof. Ahmet Ceranoglu

A Comprehesive Integer Programming Model With Special Forms For Optimal Provision Of Multiple Manufactures	361
Said A. Hassan, Seraj Y. Abed

Optimizing Crimping Oprations in Cable Assembly Shops	367
Ahmet N. Ceranoglou, Ekrem Duman

A Decision Support System to Evaluate the Competitiveness of Nations	371
S.Onsel, F.Ulengin, G.Ulusoy, O.Kabak, Y.I.Topcu, E.Aktas

A Comparative Study of Production Control Systems Through Simulation	377
Kivanc Onan, Bahar Sennaroglu

Assembly Time Minimization of a Particular Placement Machine	383
Ali Fuat Alkaya, Ekrem Duman

Evaluation of Economic Indicators of EU Countries by DEA	389
Yeliz Ekinci

Demand Assignment: A DEA and Goal Programming Approach	394
Yeliz Ekinci

Educational Topics of Mathematics and Educational Technologies	399
AI System in Manet	401
Dr. Ritu Soni, Dr. Sudhir Dawra

A Comparative Study on E-learning for Mathematics Subjects in Two Malaysian Smart Schools	406
Subramaniam Palanisamy, Ahmed. I. S. Ashour and Faiz. A. M. Elfaki

A Study on Computer Usage Among Secondary School Students: A Comparative Analysis on Hours Spent Using Computers Without Activities Connecting to Internet and Hours Spent Doing Internet Activities Respective to Genders	412
Suriani Hassan, Fauziah Sulaiman, Nortazi Sanusi, Darmesah Gabda

Role of Grid Computing in Indian Education	417
Ritu Soni, Jyotsna Sharma

AUTHOR INDEX	425