Mathematical Modelling and Scientific Computation: International Conference, ICMMSC 2012, Gandhigram, Tamil Nadu, India, March 16-18, 2012. Proceedings

565 Pages·2012·16.521 MB·English

by  Uaday Singh, Smita Sonker (auth.), P. Balasubramaniam, R. Uthayakumar (eds.)

Communications
in Computer and Information Science 283
P. Balasubramaniam R. Uthayakumar (Eds.)
Mathematical Modelling
and Scientific Computation
International Conference, ICMMSC 2012
Gandhigram, Tamil Nadu, India, March 16-18, 2012
Proceedings
1 3
VolumeEditors
P.Balasubramaniam
DepartmentofMathematics
GandhigramRuralInstitute-DeemedUniversity
Gandhigram624302,TamilNadu,India
E-mail:[email protected]
R.Uthayakumar
DepartmentofMathematics
GandhigramRuralInstitute-DeemedUniversity
Gandhigram624302,TamilNadu,India
E-mail:[email protected]
ISSN1865-0929 e-ISSN1865-0937
ISBN978-3-642-28925-5 e-ISBN978-3-642-28926-2
DOI10.1007/978-3-642-28926-2
SpringerHeidelbergDordrechtLondonNewYork
LibraryofCongressControlNumber:2012933232
CRSubjectClassification(1998):G.1,G.2,G.3
©Springer-VerlagBerlinHeidelberg2012
Thisworkissubjecttocopyright.Allrightsarereserved,whetherthewholeorpartofthematerialis
concerned,specificallytherightsoftranslation,reprinting,re-useofillustrations,recitation,broadcasting,
reproductiononmicrofilmsorinanyotherway,andstorageindatabanks.Duplicationofthispublication
orpartsthereofispermittedonlyundertheprovisionsoftheGermanCopyrightLawofSeptember9,1965,
initscurrentversion,andpermissionforusemustalwaysbeobtainedfromSpringer.Violationsareliable
toprosecutionundertheGermanCopyrightLaw.
Theuseofgeneraldescriptivenames,registerednames,trademarks,etc.inthispublicationdoesnotimply,
evenintheabsenceofaspecificstatement,thatsuchnamesareexemptfromtherelevantprotectivelaws
andregulationsandthereforefreeforgeneraluse.
Typesetting:Camera-readybyauthor,dataconversionbyScientificPublishingServices,Chennai,India
Printedonacid-freepaper
SpringerispartofSpringerScience+BusinessMedia(www.springer.com)
Preface
Welcome to the Proceedings of the International Conference on Mathematical
Modelling and Scientific Computation 2012(ICMMSC 2012).It was the second
international conference being organized by the Department of Mathematics,
Gandhigram Rural Institute - Deemed University (GRI - DU), Gandhigram,
Tamil Nadu, India.
Mathematical modelling and scientific computation are the promising, hot
areasofcurrentresearchanddevelopment,whichcanprovide importantadvan-
tages to users. Almost all mathematicians, industrialists, scientists, engineers
and researchers in science disciplines are applying the techniques of mathemat-
ical modelling and computing to increasing effect. Scientific computation and
information are the innovative thrust areas of research to study the stability
analysis and control problems related to human needs.
Tofulfill the needs ofmathematicians,scientists,researchers,ICMMSC 2012
wasorganizedbytheDepartmentofMathematics,GRI-DUduringMarch16–18,
2012.Thisseriescontainscollectionofpapersthathavebeenpeerreviewedbythe
researchersandpresentedinICMMSC2012.
ICMMSC 2012 intended to provide a common forum for researchers, sci-
entists, engineers and practitioners throughout the world to share their ideas,
latest research findings, developments and applications including their links to
mathematics, computational sciences and information sciences.
In total, 332 papers were submitted to ICMMSC 2012, which were reviewed
by the scientific peer-review committee consisting of 66 reviewers from various
parts of the world. Based on the reviewers’ comments, we accepted only 62
papers for publication in this volume.
In these proceedings, the accepted papers have been classified into two cate-
gories,namely,“MathematicalModelling”and“ScientificComputation.”Papers
related to analysis, algebra, differential equations, dynamical systems, control
theory, optimization techniques, fuzzy sets and logic, graph theory, coding the-
ory are listed in Part 1. Finally, papers related to topics such as computational
mathematics, image processing, pattern recognition, algorithms and cryptogra-
phy are listed in Part 2.
As the Conference Chairs of ICMMSC 2012, we are very much thankful
to all the national funding agencies for their grant support for the successful
completion of this international conference.
ICMMSC 2012 was supported partially by the following funding agencies:
1. UniversityGrantsCommission(UGC)-SpecialAssistanceProgramme(SAP)
- Departmental Research Support II (DRS II), Government of India, New
Delhi
2. Council of Scientific and Industrial Research (CSIR), New Delhi, India
VI Preface
3. Department of Science and Technology (DST), Government of India, New
Delhi, India
4. National Board for Higher Mathematics (NBHM), Department of Atomic
Energy (DAE), Mumbai, India
WewouldliketoexpressoursincerethankstoS.M.Ramasamy,Vice-Chancellor,
GRI-DU,Gandhigram,TamilNadu,India,forhismotivationandsupport.We
alsoextendourprofoundthankstoalltheauthoritiesofGRI-DUaswellasthe
facultymembersandresearchscholarsoftheDepartmentofMathematics,GRI-
DU,Gandhigram.
WeareverymuchgratefultotheChairsandMembersoftheTechnicalCom-
mittee, Publication Committee, Financial Committee and Advisory Committee
whoworkedasateambyinvestingtheirinvaluabletime andhardworktomake
this event a success.
We extend our hearty thanks to the keynote speakers who kindly accepted
our invitation. Especially, we would like to thank the following professors:
N. Rudraiah (Emeritus Professor,Bangalore University, India)
P. Kandaswamy (Visiting Professor,GRI - DU, India)
S. Ponnusamy (Indian Institute of Technology, Madras)
Er. Meng Joo (Nanyang Technological University, Singapore)
K. Vajravelu (University of Central Florida, USA)
Kurunathan Ratnavelu,M.O. Wan Ainun,andN. Kumaresan (Universityof
Malaya, Malaysia)
Santo Banerjee (Politecnico di Torino, Turin, Italy)
A totalof 66subjectexperts fromaroundthe worldcontributedto the peer-
review process. We express our sincere gratitude to the reviewers for spending
their valuable time to review the papers and sorting out the papers for presen-
tation at ICMMSC 2012.
We thank MicrosoftResearchCMT for providing us with a wonderful“Con-
ference Management Toolkit” for managing the papers. We also express our
sincere thanks to Alfred Hofmann and his team at Springer for accepting our
proposal to publish the papers in CCIS.
March 2012 P. Balasubramaniam
R. Uthayakumar
Organization
ICMMSC 2012 was organizedby the Department of Mathematics, Gandhigram
Rural Institute - Deemed University, Gandhigram, Tamil Nadu, India.
Organizing Committee
Patron S.M. Ramasamy (Vice Chancellor, GRI - DU)
Conference Chairs P. Balasubramaniam
R. Uthayakumar
Technical Committee Chairs S. Parthasarathy
G. Nagamani
Publication Committee Chair R. Rajkumar
Financial Committee Chair P. Muthukumar
Organizing Team Members G. Arockia Prabakar,R. Chandran,
D. Easwaramoorthy,L. Jarina Banu,
S. Jeeva Sathya Theesar, M. Kalpana,
R. Krishnasamy,S. Lakshmanan,
P. Muthukumar, M. Palanivel, M. Prakash,
S. Priyan, C. Rajiv Ganthi, V.M. Revathi,
J. Sahabtheen, R. Sathy, T. Senthil Kumar,
V. Vembarasan, M. Vijayashree
Advisory Committee
R.P. Agarwal, USA J.Y. Park, South Korea
K. Balachandran,India S. Ponnusamy, India
R.K. George, India S. Raviraja, Malaysia
P. Kandaswamy,India N. Rudraiah, India
J.H. Kim, South Korea S. Banerjee, Italy
N. Kumaresan, Malaysia K. Somasundaram, India
K. Ratnavelu, Malaysia N. Sugavanam, India
X. Mao, UK K. Vajravelu, USA
E. Meng Joo, Singapore P. Veeramani, India
A.K. Nandhakumaran, India M.O. Wan Ainun, Malaysia
J.H. Park,South Korea F. Zirilli, Italy
VIII Organization
Referees
C. Alaca, Turkey J.Y. Park, South Korea
N.M.G. Al-Saidi, Iraq J. PaulrajJoseph, India
A. Biswas, India V.N. Phat, Vietnam
S. Arik, Turkey R. Rajkumar, India
T. Aravalluvan, India R. Rakkiyappan, India
A. Imre, Hungary R. Roopkumar, India
B. Prasad, India A. Roy, India
K. Balachandran,India R. Sakthivel, South Korea
H. Bao, China S. Banerjee, Italy
G.L. Chia, Malaysia S. Saravanan, India
M. Chris Monica, India S. Mukherjee, India
C. Claudio, Brazil P. Shanmugavadivu, India
W. Feng, China S. Sankar Sana, India
G. Ganesan, India S. Sivagurunathan, India
K.V. Geetha, India K. Somasundaram, India
G.V.D. Gowda, India Q. Song, China
H. Yin, Urbana S. Sivakumar, India
G. Jayalalitha,India M. Sumathi, India
T. Kalaiselvi, India S. Prasath, USA
S. Karthikeyan,India K. Shanti Swarup, India
E. Karthikeyan,India S.P. Tiwari, India
V. Kreinovich, USA I. Tsoulos, Greece
N. Kumaresan, Malaysia R.K. Upadhyay, India
O.M. Kwon, South Korea M. Valliathal, India
N.F. Law, Hong Kong V. Veeramani, Oman
G. Mahadevan, India C. Vidhya, India
S. Marshal Anthoni, India S. Vimala, India
M. Nawi Nazri, Malaysia D. Vinayagam, India
S. Muralisankar,India A.V.A. Kumar, India
P. Muthukumar, India W. Wang, China
G. Nagamani, India X. Li, China
V. Novak, Czech Republic X. Zhang, China
B.B. Pal, India
J.H. Park,South Korea
Table of Contents
Mathematical Modelling
Degree of Approximation of Function f ∈ Hp(w) Class in Generalized
Ho¨lder Metric by Matrix Means.................................... 1
Uaday Singh and Smita Sonker
Angle Change of Plane Curve ..................................... 11
Xiao Han, Baozeng Chu, and Liangping Qi
On Faintly SP-θ (Semi-Pre-θ)-Continuous Functions.................. 22
Alaa. M.F. AL. Jumaili and Xiao-Song Yang
On e-Closed Spaces and θ-e-Continuous Functions.................... 32
Alaa. M.F. AL. Jumaili and Xiao-Song Yang
On θ-e-Irresolute Functions ....................................... 47
Alaa.M.F.AL. Jumaili and Xiao-Song Yang
On the Strictness of a Bound for the Diameter of Cayley Graphs
Generated by Transposition Trees.................................. 54
Ashwin Ganesan
Power Graphs of Finite Groups of Even Order....................... 62
Sriparna Chattopadhyay and Pratima Panigrahi
Global Vertex-Edge Domination Sets in Total Graph and Product
Graph of Path Pn Cycle Cn ....................................... 68
S. Chitra and R. Sattanathan
Incomparability Graphs of Lattices................................. 78
Meenakshi Wasadikar and Pradnya Survase
A New Characterizationof PairedDomination Number of a Graph..... 86
G. Mahadevan, A. Nagarajan, A. Selvam, and A. Rajeswari
Coding the Vertices of a Graph with Rosenbloom-Tsfasman Metric..... 97
R. Rajkumar
Application of Fuzzy Programming Method for Solving Nonlinear
Fractional Programming Problems with Fuzzy Parameters ............ 104
Animesh Biswas and Koushik Bose
Solving Bottleneck Bi-criteria Transportation Problems ............... 114
D. Anuradha and P. Pandian
X Table of Contents
A Fuzzy Goal Programming Approach for Fuzzy Multiobjective
Stochastic Programming through Expectation Model ................. 124
Animesh Biswas and Nilkanta Modak
Economic Order Quantity for Fuzzy Inventory Model without or with
Shortage........................................................ 136
P. Rajendran and P. Pandian
Improvement of Quality with the Reduction of Order Processing Cost
by Just-In-Time Purchasing ....................................... 148
R. Uthayakumar and M. Rameswari
Using Genetic Algorithm to Goal Programming Model of Solving
Economic-Environmental Electric Power Generation Problem with
Interval-Valued Target Goals ...................................... 156
Bijay Baran Pal, Papun Biswas, and Anirban Mukhopadhyay
Using Fuzzy Goal Programming for Long-Term Water Resource
Allocation Planning in Agricultural System: A Case Study ............ 170
Bijay Baran Pal, Subhendu Bikash Goswami, Shyamal Sen, and
Durga Banerjee
Dynamics of Julia Sets for Complex Exponential Functions............ 185
Bhagwati Prasad and Kuldip Katiyar
Dynamics of Density-Dependent Closure Term in a Simple Plankton
Model .......................................................... 193
A. Priyadarshi, S. Gakkhar, and Sandip Banerjee
Crisis-Limited Chaotic Dynamics in an Eco-epidemiological System of
the Salton Sea................................................... 201
Sharada Nandan Raw, Ranjit Kumar Upadhyay, and
Nilesh Kumar Thakur
Delay-Dependent Stability Criteria for Uncertain Discrete-Time Lur’e
Systems with Sector-Bounded Nonlinearity.......................... 210
Ramakrishnan Krishnan and Goshaidas Ray
Temporally Dependent Solute Dispersion in One-Dimensional Porous
Media .......................................................... 220
Dilip Kumar Jaiswal
Instabilities and Patterns in Zooplankton-Phytoplankton Dynamics:
Effect of Spatial Heterogeneity..................................... 229
Nilesh Kumar Thakur, Ranjit Kumar Upadhyay, and
Sharada Nandan Raw
A Method for Estimating the Lyapunov Exponents of Chaotic Time
Series Corrupted by Random Noise Using Extended Kalman Filter ..... 237
Kamalanand Krishnamurthy
Table of Contents XI
Direct Delay Decomposition Approach to Robust Stability on Fuzzy
Markov-Type BAM Neural Networks with Time-Varying Delays ....... 245
R. Sathy and P. Balasubramaniam
Robust Stabilization Results for TS Fuzzy Nonlinear Stochastic
Systems with Discrete and Distributed Time Delays .................. 255
P. Vadivel, K. Mathiyalagan, R. Sakthivel, and P. Thangaraj
Robust Passivity of Fuzzy Cohen-Grossberg Neural Networks with
Time-Varying Delays ............................................. 263
A. Arunkumar, K. Mathiyalagan, R. Sakthivel, and
S. Marshal Anthoni
Asymptotic Stability Criterion for Fuzzy Recurrent Neural Networks
with Interval Time-Varying Delay.................................. 271
R. Chandran and P. Balasubramaniam
Stability of Uncertain Reaction-Diffusion Stochastic BAM Neural
Networks with Mixed Delays and MarkovianJumping Parameters...... 283
C. Vidhya and P. Balasubramaniam
Controllability of Semilinear Evolution Differential Systems in a
Separable Banach Space .......................................... 293
Bheeman Radhakrishnan
Approximate Controllability of Fractional Stochastic Integral Equation
with Finite Delays in Hilbert Spaces................................ 302
C. Rajiv Ganthi and P. Muthukumar
Controllability of Semilinear Dispersion Equation .................... 310
Simegne Tafesse and N. Sukavanam
EstimationofControllableInitialFuzzyStatesofLinearTime-Invariant
Dynamical Systems .............................................. 316
Bhaskar Dubey and Raju K. George
Fuzzy Modelling of S-Type Microbial Growth Model for Ethanol
Fermentation Process and the Optimal Control Using Simulink ........ 325
M.Z.M. Kamali, N. Kumaresan, Koshy Philip, and Kuru Ratnavelu
A Search for the Correlation Coefficient of Triangular and Trapezoidal
Intuitionistic Fuzzy Sets for Multiple Attribute Group Decision
Making ......................................................... 333
John Robinson P. and Henry Amirtharaj E.C.
A Method for Reduction of Fuzzy Relation in Fuzzy Formal Context ... 343
Prem Kumar Singh and Ch. Aswani Kumar